arXiv ID float64 704 1k | Title stringlengths 20 207 | Introduction stringlengths 497 75.7k | Abstract stringlengths 91 2.39k | Prompt stringlengths 877 76.1k |
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802.033 | Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources | Recently there has been a renewed interest for the search of solutions of Einstein equations,
mostly motivated by the study of higher dimensional gravity, for instance in the context
of the brane world scenario [ 104 , 105 ] and of string theory [ 110 ] . Some beautiful
examples of higher dimensional solutions have app... | We review, in a historical perspective, some results about black hole spacetimes with a regular center. We then see how their properties are realized in a specific solution that recently appeared; in particular we analyze in detail the (necessary) violation of the strong energy condition. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources* and the introduction:Recently there has been a renewed interest for the search of solutions of Einst... |
704.0432 | A Survey of Huebschmann and Stasheff's Paper: Formal Solution of the Master Equation via HPT and Deformation Theory | These notes, based on the paper [ 8 ] by Huebschmann and Stasheff, were prepared for a series of talks at Illinois State University with the intention of applying Homological Perturbation Theory (HPT) to the construction of derived brackets [ 11 , 16 ] , and eventually writing Part II of the paper [ 1 ] . Derived brack... | These notes, based on the paper "Formal Solution of the Master Equation via HPT and Deformation Theory" by Huebschmann and Stasheff, were prepared for a series of talks at Illinois State University with the intention of applying Homological Perturbation Theory to the derived bracket constructions of Kosmann-Schwarzbach... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A Survey of Huebschmann and Stasheff's Paper: Formal Solution of the Master Equation via HPT and Deformation Theory* and the introduction:These notes, based on the paper 8 by Huebschmann and Stasheff, were prepared for a se... |
802.2726 | A review of spin determination at the LHC | Most models of TeV scale new physics are motivated by solving the
hierarchy problem. Therefore, the most crucial ingredient of all of
them is the mechanism of cancelling the quadratically divergent
correction to the Higgs mass within the Standard Model. In order to
achieve this, a set of new physics particles with the ... | We review the prospects of direct spin determination of new particles which may be discovered at the LHC. We discuss the general framework and the different channels which contain spin information. The experimental challenges associated with such measurements are briefly discussed and the most urgent unresolved problem... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A review of spin determination at the LHC* and the introduction:Most models of TeV scale new physics are motivated by solving the
hierarchy problem. Therefore, the most crucial ingredient of all of
them is the mechanism of ca... |
802.1829 | A review of the Statistical Mechanics approach to Random Optimization Problems | I Introduction The connection between the statistical physics of disordered systems
and optimization problems in computer science dates back from twenty
years at least Mézard et al. ( 1987 ) . In combinatorial optimization one
is given a cost function (the length of a tour in the traveling salesman
problem (TSP), the n... | We review the connection between statistical mechanics and the analysis of random optimization problems, with particular emphasis on the random k-SAT problem. We discuss and characterize the different phase transitions that are met in these problems, starting from basic concepts. We also discuss how statistical mechani... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A review of the Statistical Mechanics approach to Random Optimization Problems* and the introduction:I Introduction The connection between the statistical physics of disordered systems
and optimization problems in computer sc... |
704.317 | ZIPF'S LAW AND CITY SIZES: A SHORT TUTORIAL REVIEW ON MULTIPLICATIVE PROCESSES IN URBAN GROWTH | Biological populations –and, among them, human communities– are
subject, during their existence, to a multitude of actions of quite
disparate origins. Such actions involve a complex interplay between
factors endogenous to the population and external effects related to
the interaction with the ecosystem and with physica... | We address the role of multiplicative stochastic processes in modeling the occurrence of power-law city size distributions. As an explanation of the result of Zipf’s rank analysis, Simon’s model is presented in a mathematically elementary way, with a thorough discussion of the involved hypotheses. Emphasis is put on th... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*ZIPF'S LAW AND CITY SIZES: A SHORT TUTORIAL REVIEW ON MULTIPLICATIVE PROCESSES IN URBAN GROWTH* and the introduction:Biological populations –and, among them, human communities– are
subject, during their existence, to a multit... |
705.0337 | A mathematical and computational review of Hartree–Fock SCF methods in quantum chemistry | In the hot field of computer simulation of biological macromolecules,
available potential energy functions are often not accurate enough to
properly describe complex processes such as the folding of proteins [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ] .
In order to improve the situation, it is convenient to extract ab
initio informa... | We present a review of the fundamental topics of Hartree–Fock theory in quantum chemistry. From the molecular Hamiltonian, using and discussing the Born–Oppenheimer approximation, we arrive at the Hartree and Hartree–Fock equations for the electronic problem. Special emphasis is placed on the most relevant mathematical... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A mathematical and computational review of Hartree–Fock SCF methods in quantum chemistry* and the introduction:In the hot field of computer simulation of biological macromolecules,
available potential energy functions are oft... |
803.18 | SOCIOPHYSICS: A REVIEW OF GALAM MODELS | I Introduction The field of sociophysics has emerged in the 19-seventies with only a very few scarce papers in the hostile environment of the community of physicists. It started to attracted some physicists around the mid nineties and then took over fifteen years to nucleate involving a growing number of physicists. To... | We review a series of models of sociophysics introduced by Galam and Galam et al. in the last 25 years. The models are divided into five different classes, which deal respectively with democratic voting in bottom-up hierarchical systems, decision making, fragmentation versus coalitions, terrorism and opinion dynamics. ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*SOCIOPHYSICS: A REVIEW OF GALAM MODELS* and the introduction:I Introduction The field of sociophysics has emerged in the 19-seventies with only a very few scarce papers in the hostile environment of the community of physicist... |
705.1787 | Energy-Efficient Resource Allocation in Wireless Networks | I Introduction and Motivation Future wireless networks are expected to support a variety of
services with diverse quality-of-service (QoS) requirements. For
example, a mixture of delay-sensitive applications (e.g., voice
and video teleconferencing) and delay-tolerant ones (e.g., web
browsing and file downloading) must ... | This paper shows that game theory can be used as a unifying framework to study radio resource management in a variety of wireless networks. with different service criteria. It focuses on infrastructure networks where users transmit to a common concentration point such as a base station in a cellular network or an acces... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Energy-Efficient Resource Allocation in Wireless Networks* and the introduction:I Introduction and Motivation Future wireless networks are expected to support a variety of
services with diverse quality-of-service (QoS) requir... |
805.1705 | Prospects for producing ultracold NH 3 molecules by sympathetic cooling: A survey of interaction potentials | I Introduction There is great interest at present in producing samples of cold
molecules (below 1 K) and ultracold molecules (below 1 mK). Such
molecules have many potential applications. High-precision
measurements on ultracold molecules might be used to measure
quantities of fundamental physics interest, such as the ... | We investigate the possibility of producing ultracold NH3 molecules by sympathetic cooling in a bath of ultracold atoms. We consider the interactions of NH3 with alkali-metal and alkaline-earth-metal atoms, and with Xe, using ab initio coupled-cluster calculations. For Rb-NH3 and Xe-NH3 we develop full potential energy... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Prospects for producing ultracold NH 3 molecules by sympathetic cooling: A survey of interaction potentials* and the introduction:I Introduction There is great interest at present in producing samples of cold
molecules (below... |
705.2844 | A Review of integrable deformations in AdS/CFT | In recent years a large number of studies have emerged indicating
that type IIB string theory on A d S 5 × S 5 𝐴 𝑑 subscript 𝑆 5 superscript 𝑆 5 AdS_{5}\times S^{5} and 𝒩 = 4 𝒩 4 {\cal N}=4 super-Yang-Mills (SYM) theory in four dimensions may be integrable
in the planar limit. The technology of integrable sys... | Marginal β deformations of $\mathcal{N}=4$ super-Yang–Mills theory are known to correspond to a certain class of deformations of the S5 background subspace of type IIB string theory in AdS5×S5. An analogous set of deformations of the AdS5 subspace is reviewed here. String energy spectra computed in the near-pp-wave lim... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A Review of integrable deformations in AdS/CFT* and the introduction:In recent years a large number of studies have emerged indicating
that type IIB string theory on A d S 5 × S 5 𝐴 𝑑 subscript 𝑆 5 superscript 𝑆 5 AdS... |
805.1893 | A brief survey of the renormalizability of four dimensional gravity for generalized Kodama states | : Stability of the pure Kodama state This work continues the line of research from [ 1 ] , [ 2 ] . The main question that would like to formulate is (i) whether or not the pure Kodama state Ψ K o d subscript Ψ 𝐾 𝑜 𝑑 \Psi_{Kod} is a good ground state of general relativity about which quantum fluctuations constitu... | We continue the line of research from previous works in assessing the suitability of the pure Kodama state both as a ground state for the generalized Kodama states, as well as characteristic of a good semiclassical limit of general relativity. We briefly introduce the quantum theory of fluctuations about DeSitter space... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A brief survey of the renormalizability of four dimensional gravity for generalized Kodama states* and the introduction:: Stability of the pure Kodama state This work continues the line of research from 1 , 2 . The main q... |
705.4146 | Dynamical 3-Space: A Review | We review here some of the new physics emerging from the discovery that there exists a dynamical 3-space. This discovery changes all of physics. While at a deeper level this emerges from the information-theoretic Process Physics [ 2 , 5 , 6 , 7 , 8 , 9 , 10 ] here we focus on the phenomenological description of this 3-... | For some 100 years physics has modelled space and time via the spacetime concept, with space being merely an observer dependent perspective effect of that spacetime - space itself had no observer independent existence - it had no ontological status, and it certainly had no dynamical description. In recent years this ha... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Dynamical 3-Space: A Review* and the introduction:We review here some of the new physics emerging from the discovery that there exists a dynamical 3-space. This discovery changes all of physics. While at a deeper level this e... |
705.4236 | A survey of hypertoric geometry and topology | 1 Definitions and basic properties Hypertoric varieties can be considered either as algebraic varieties or, in the smooth case,
as hyperkähler manifolds. In this section we give a constructive definition, with a strong
bias toward the algebraic interpretation. Section 1.1 proceeds in greater generality
than is necessar... | Hypertoric varieties are quaternionic analogues of toric varieties, important for their interaction with the combinatorics of matroids as well as for their prominent place in the rapidly expanding field of algebraic symplectic and hyperkahler geometry. The aim of this survey is to give clear definitions and statements ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A survey of hypertoric geometry and topology* and the introduction:1 Definitions and basic properties Hypertoric varieties can be considered either as algebraic varieties or, in the smooth case,
as hyperkähler manifolds. In t... |
806.0402 | Black hole entropy from entanglement: a review | One of the most remarkable features of black hole physics is the
realization that black holes behave as thermodynamic systems and
possess entropy and temperature. The pioneering works in the field of
black hole thermodynamics started with Bekenstein [ 1 ] ,
who argued that the universal applicability of the second law ... | We review aspects of the thermodynamics of black holes and in particular take into account the fact that the quantum entanglement between the degrees of freedom of a scalar field, traced inside the event horizon, can be the origin of black hole entropy. The main reason behind such a plausibility is that the well-known ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Black hole entropy from entanglement: a review* and the introduction:One of the most remarkable features of black hole physics is the
realization that black holes behave as thermodynamic systems and
possess entropy and temper... |
706.413 | A review of wildland fire spread modelling, 1990-present 3: Mathematical analogues and simulation models | 1.1 History The ultimate aim of any prediction system is to enable an end user to carry out
useful predictions. A useful prediction is one that helps the user achieve a
particular aim. In the field of wildland fire behaviour, that aim is primarily
to stop the spread of the fire or to at least reduce its impact on life ... | In recent years, advances in computational power and spatial data analysis (GIS, remote sensing, etc) have led to an increase in attempts to model the spread and behvaiour of wildland fires across the landscape. This series of review papers endeavours to critically and comprehensively review all types of surface fire s... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A review of wildland fire spread modelling, 1990-present 3: Mathematical analogues and simulation models* and the introduction:1.1 History The ultimate aim of any prediction system is to enable an end user to carry out
useful... |
706.4173 | FPCP Theory Overview | I Introduction and UT Theory In this first section of this talk I will skim over the determination
of sides and angles of the unitarity triangle (UT). I do not pretend
to make a complete review or even an overview. I picked topics on the
basis of where I thought we should be weary overly cautions of
theorists “predicti... | We first review some aspects of the determination of the sides and angles of the unitarity triangle. We pay particular attention to theory shortcomings, and present many alternative proposals for the determination of |Vub| (which at present is problematic). We then turn our attention to the more general question: What ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*FPCP Theory Overview* and the introduction:I Introduction and UT Theory In this first section of this talk I will skim over the determination
of sides and angles of the unitarity triangle (UT). I do not pretend
to make a comp... |
806.2269 | Review of factorization breaking in diffractive photoproduction of dijets | It is well known that at high-energy colliders such as the e p 𝑒 𝑝 ep collider HERA
at DESY and the p p ¯ 𝑝 ¯ 𝑝 p\bar{p} collider Tevatron at Fermilab, a large fraction of
the observed events are diffractive. These events are defined experimentally
by the presence of a forward-going hadronic system Y 𝑌 Y with ... | After the final analyses of the H1 and ZEUS collaborations for the diffractive photoproduction of dijets have appeared, we have recalculated these cross sections in next-to-leading order (NLO) of perturbative QCD to see whether they can be interpreted consistently. The results of these calculations are compared to the ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Review of factorization breaking in diffractive photoproduction of dijets* and the introduction:It is well known that at high-energy colliders such as the e p 𝑒 𝑝 ep collider HERA
at DESY and the p p ¯ 𝑝 ¯ 𝑝 p\bar{p} ... |
707.1762 | Continuous Opinion Dynamics under Bounded Confidence: A Survey | The term “opinion dynamics” nowadays summarizes a wide class of
different models differing in heuristics, formalization as well as in the
phenomena of interest. The latter range from emergence of fads, minority opinion spreading, collective decision making, finding and not finding of consensus, emergence of political p... | Models of continuous opinion dynamics under bounded confidence have been presented independently by Krause and Hegselmann and by Deffuant et al. in 2000. They have raised a fair amount of attention in the communities of social simulation, sociophysics and complexity science. The researchers working on it come from disc... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Continuous Opinion Dynamics under Bounded Confidence: A Survey* and the introduction:The term opinion dynamics nowadays summarizes a wide class of
different models differing in heuristics, formalization as well as in the
phen... |
806.2461 | Survey on the Burnside ring of compact Lie groups | 1. The Burnside ring of a finite group Let G 𝐺 G be a finite group. The Burnside ring of G 𝐺 G is the Grothendieck
group completion of the semiring of isomorphism classes of
finite G 𝐺 G -sets. It is denoted by A ( G ) 𝐴 𝐺 A(G) (other notations are B ( G ) 𝐵 𝐺 B(G) and Ω ( G ) Ω 𝐺 \Omega(G) ). Addition is... | The definition and basic properties of the Burnside ring of compact Lie groups are presented, with emphasis on the analogy with the construction of the Burnside ring of finite groups. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Survey on the Burnside ring of compact Lie groups* and the introduction:1. The Burnside ring of a finite group Let G 𝐺 G be a finite group. The Burnside ring of G 𝐺 G is the Grothendieck
group completion of the semiring of ... |
707.2216 | Double beta decay: experiments and theory review | I Introduction The double beta decay is a second order weak transition which can be
energetically favored for some even-even nuclei belonging to A 𝐴 A even
multiplets.
The ( A , Z ) → ( A , Z + 2 ) + 2 e − + 2 ν ¯ e → 𝐴 𝑍 𝐴 𝑍 2 2 superscript 𝑒 2 subscript ¯ 𝜈 𝑒 (A,Z)\rightarrow(A,Z+2)+2e^{-}+2\bar{\nu}_{e} ... | Neutrinoless double beta decay is one of the most powerful tools to set the neutrino mass absolute scale and establish whether the neutrino is a Majorana particle. After a summary of the neutrinoless double beta decay phenomenology, the present status of the experimental search for this rare decay is reported and the p... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Double beta decay: experiments and theory review* and the introduction:I Introduction The double beta decay is a second order weak transition which can be
energetically favored for some even-even nuclei belonging to A 𝐴 A ev... |
806.3771 | Survey on geometric group theory | 1. Classical examples A classical example of geometric methods used in group theory is the topological
proof of Schreier’s theorem. Theorem 1.1 (Schreier’s Theorem) . Let G 𝐺 G be a free group and H ⊆ G 𝐻 𝐺 H\subseteq G be a subgroup.
Then H 𝐻 H is free. If the rank rk ( G ) rk 𝐺 \operatorname{rk}(G) and the ind... | This article is a survey article on geometric group theory from the point of view of a non-expert who likes geometric group theory and uses it in his own research. The sections are: classical examples, basics about quasiisometry,properties and invariants of groups invariant under quasiisometry, rigidity, hyperbolic spa... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Survey on geometric group theory* and the introduction:1. Classical examples A classical example of geometric methods used in group theory is the topological
proof of Schreiers theorem. Theorem 1.1 (Schreiers Theorem) . Let G... |
707.3271 | A SURVEY ON THE INTERPLAY BETWEEN ARITHMETIC MEAN IDEALS, TRACES, LATTICES OF OPERATOR IDEALS, AND AN INFINITE SCHUR-HORN MAJORIZATION THEOREM | 1. Introduction Commutator spaces (also known as commutator ideals) of operator ideals were characterized in [ 24 ] in terms of arithmetic mean operations and this led already in [ 24 ] to the notion of two basic arithmetic mean ideals, the arithmetic mean closure and the arithmetic mean interior of an ideal, and to th... | The main result in (23) on the structure of commutators showed that arithmetic means play an important role in the study of operator ideals. In this survey we present the notions of arithmetic mean ideals and arithmetic mean at infinity ideals. Then we explore their connections with commutator spaces, traces, elementar... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A SURVEY ON THE INTERPLAY BETWEEN ARITHMETIC MEAN IDEALS, TRACES, LATTICES OF OPERATOR IDEALS, AND AN INFINITE SCHUR-HORN MAJORIZATION THEOREM* and the introduction:1. Introduction Commutator spaces (also known as commutator ... |
806.3956 | Generalized Kodama partition functions: A preview into normalizability for the generalized Kodama states. | The purpose of this paper is to apply a special technique for computing partition functions to the computation of the norm of the generalized Kodama states of quantum gravity introduced in [ 1 ] . The closest analogy is the partition function for the Chern–Simons functional. There exist in the literature various method... | In this paper we outline the computation of the partition function for the generalized Kodama states (GKod) of quantum gravity using the background field method. We show that the coupling constant for GKod is the same dimensionless coupling constant that appears in the partition function of the pure Kodama state (Chern... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Generalized Kodama partition functions: A preview into normalizability for the generalized Kodama states.* and the introduction:The purpose of this paper is to apply a special technique for computing partition functions to th... |
708.2779 | A Survey on the Classical Limit of Quantum Dynamical Entropies | The notion of classical chaos is associated with
motion on a compact phase–space with high sensitivity to initial
conditions: trajectories diverge exponentially fast and nevertheless
remain confined to bounded
regions [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ] . In an opposite way, quantization on compacts yields discrete energy
sp... | We analyze the behavior of quantum dynamical entropies prod uction from sequences of quantum approximants approaching their (chaoti c) classical limit. The model of the quantized hyperbolic automorphisms of the 2–to rus is examined in detail and a semi–classical analysis is performed on it usin g coherent states, fulfi... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A Survey on the Classical Limit of Quantum Dynamical Entropies* and the introduction:The notion of classical chaos is associated with
motion on a compact phase–space with high sensitivity to initial
conditions: trajectories d... |
806.4593 | Decays of B_s Mesons and b Baryons: A Review of Recent First Observations and Branching Fractions | I Introduction Heavier b 𝑏 b -flavoured hadrons represent a fecund source of particle
physics. While the rich interplay between electroweak and
non-perturbative strong effects typically poses formidable
experimental and theoretical challenges, decays of hadrons with masses
at the frontiers of Standard Model spectrosco... | Recent rate measurements of B{sub s}{sup 0} mesons and {Lambda}{sub b}{sup 0} baryons produced in {radical}s = 1.96 TeV proton-antiproton and {Upsilon}(5S) electron-positron collisions are reviewed, including the first observations of six new decay modes: B{sub s}{sup 0} {yields} D{sub s}{sup +} K{sup -} (CDF), B{sub s... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Decays of B_s Mesons and b Baryons: A Review of Recent First Observations and Branching Fractions* and the introduction:I Introduction Heavier b 𝑏 b -flavoured hadrons represent a fecund source of particle
physics. While the... |
806.4846 | Theory Review of Exclusive Rare Radiative Decays | I Introduction Experimental measurements of B → V γ → 𝐵 𝑉 𝛾 B\to V\gamma decays,
with V 𝑉 V a light vector meson such as K ∗ , ρ , ω , ϕ superscript 𝐾 𝜌 𝜔 italic-ϕ K^{*},\rho,\omega,\phi ,
have continued to improve and will become more precise
at the end of the B 𝐵 B -factories and at LHC-b. Given their
rich ... | Experimental measurements of B → V γ decays, with V a light vector meson such as K, ρ, ω, φ, have continued to improve and will become more precise at the end of the B-factories and at LHC-b. Given their rich CKM phenomenology and potential to constrain new physics models, having reliable theory predictions for these d... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Theory Review of Exclusive Rare Radiative Decays* and the introduction:I Introduction Experimental measurements of B → V γ → 𝐵 𝑉 𝛾 B\to V\gamma decays,
with V 𝑉 V a light vector meson such as K ∗ , ρ , ω , ϕ superscript... |
709.0724 | From Time-symmetric Microscopic Dynamics to Time-asymmetric Macroscopic Behavior: An Overview | Let me start by stating clearly that I am not going to discuss here—much
less claim to resolve—the many complex issues, philosophical and
physical, concerning the nature of time, from the way we perceive it to the
way it enters into the space-time structure in relativistic theories. I
will also not try to philosophize ... | Time-asymmetric behavior as embodied in the second law of thermodynamics is observed in {\it individual macroscopic} systems. It can be understood as arising naturally from time-symmetric microscopic laws when account is taken of a) the great disparity between microscopic and macroscopic scales, b) a low entropy state ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*From Time-symmetric Microscopic Dynamics to Time-asymmetric Macroscopic Behavior: An Overview* and the introduction:Let me start by stating clearly that I am not going to discuss here—much
less claim to resolve—the many compl... |
709.0856 | Noncommutative generalization of SU(n)-principal fiber bundles: a review | 1 Introduction The geometry of fiber bundles is now widely used in the physical literature, mainly through the concept of connections, which are interpreted as gauge fields in particle physics. It is worth to recall why the structure of these gauge theories leads to this mathematical identification. The main points w... | This is an extended version of a communication made at the international conference 'Noncommutative Geometry and Physics' held at Orsay in april 2007. In this proceeding, we make a review of some noncommutative constructions connected to the ordinary fiber bundle theory. The noncommutative algebra is the endomorphism a... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Noncommutative generalization of SU(n)-principal fiber bundles: a review* and the introduction:1 Introduction The geometry of fiber bundles is now widely used in the physical literature, mainly through the concept of connec... |
807.1939 | Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review | In 1975 Steven Hawking showed, in a remarkable paper [ 1 ] , that
black holes can evaporate, namely that they can emit thermal radiation like a
black body. This conjecture opened the window towards the mysteries of Quantum
Gravity, since, at that time, the reconciliation between Quantum Mechanics and
General Relativity... | We present the state of the art regarding the relation between the physics of Quantum Black Holes and Noncommutative Geometry. We start with a review of models proposed in the literature for describing deformations of General Relativity in the presence of noncommutativity, seen as an effective theory of Quantum Gravity... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review* and the introduction:In 1975 Steven Hawking showed, in a remarkable paper 1 , that
black holes can evaporate, namely that they can emit thermal radi... |
709.0915 | Product Systems:. a Survey with Commutants in View | A product system of Hilbert spaces is a family E ⊗ = ( E t ) t ∈ ℝ + superscript 𝐸 tensor-product subscript subscript 𝐸 𝑡 𝑡 subscript ℝ E^{\otimes}=\bigl{(}E_{t}\bigr{)}_{t\in\mathbb{R}_{+}} of Hilbert spaces that factor as E s + t ≅ E s ⊗ E t subscript 𝐸 𝑠 𝑡 tensor-product subscript 𝐸 𝑠 subscript 𝐸 𝑡 E_{s+t... | The theory of product systems both of Hilbert spaces (Arveson systems) and product systems of Hilbert modules has reached a status where it seems appropriate to rest a moment and to have a look at what is known so far and what are open problems. However, the attempt to give an approximately complete account in view pag... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Product Systems:. a Survey with Commutants in View* and the introduction:A product system of Hilbert spaces is a family E ⊗ = ( E t ) t ∈ ℝ + superscript 𝐸 tensor-product subscript subscript 𝐸 𝑡 𝑡 subscript ℝ E^{\otimes}=... |
709.1599 | Experimental Review on Lepton Universality and Lepton Flavour Violation tests at the B-factories | In recent years, the \babar and Belle experiments have contributed
results on tau lepton physics, which improved the experimental picture
of lepton universality and of lepton flavor violation searches. Both experiments rely on “B-factories” operating at a centre-of-mass
energy of 10.58 GeV on the Υ ( 4 s ) Υ 4 𝑠 \... | Since 1999, the B-factories collaborations BABAR and Belle have accumulated and studied large samples of tau lepton pairs. The experimental results on Lepton Universality checks and Lepton Flavour Violation searches are reported. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Experimental Review on Lepton Universality and Lepton Flavour Violation tests at the B-factories* and the introduction:In recent years, the \babar and Belle experiments have contributed
results on tau lepton physics, which im... |
807.4132 | Modeling time in computing: A taxonomy and a comparative survey | In many fields of science and engineering, the term dynamics is intrinsically bound to a notion of time. In fact, in classical physics a mathematical model of a dynamical system most often consists of a set of equations that state a relation between a time variable and other quantities characterizing the system, often ... | The increasing relevance of areas such as real-time and embedded systems, pervasive computing, hybrid systems control, and biological and social systems modeling is bringing a growing attention to the temporal aspects of computing, not only in the computer science domain, but also in more traditional fields of engineer... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Modeling time in computing: A taxonomy and a comparative survey* and the introduction:In many fields of science and engineering, the term dynamics is intrinsically bound to a notion of time. In fact, in classical physics a ma... |
709.1775 | Target mass corrections | The scattering of electrons on hadronic targets has historically
played an essential role in our understanding of the proton as
a composite particle made up of partons: quarks and gluons [ 1 , 2 , 3 , 4 ] .
Presently, data from electron and neutrino scattering at large momentum
transfers, that is, deeply inelastic scat... | With recent advances in the precision of inclusive lepton–nuclear scattering experiments, it has become apparent that comparable improvements are needed in the accuracy of the theoretical analysis tools. In particular, when extracting parton distribution functions in the large-x region, it is crucial to correct the dat... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Target mass corrections* and the introduction:The scattering of electrons on hadronic targets has historically
played an essential role in our understanding of the proton as
a composite particle made up of partons: quarks and... |
808.1336 | Theoretical Review on CP Violation in Rare B decays | I Importance of CP violation As pointed out by Sakharov Sakharov:1967dj in the 60’s, one of the
necessary conditions for the observed Universe is CP violation in physical
processes. In the standard model (SM) of particle physics, the only source of
CP violation is given by the so-called Kobayashi-Maskawa mechanism Koba... | We discuss several issues related to direct CP violation in rare B meson decays. We review the use of CP asymmetries in extracting information of strong and weak phases, how the experimental data fit into the overall | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Theoretical Review on CP Violation in Rare B decays* and the introduction:I Importance of CP violation As pointed out by Sakharov Sakharov:1967dj in the 60s, one of the
necessary conditions for the observed Universe is CP vio... |
709.1858 | Adaptive coevolutionary networks: a review | I Introduction Complex networks are ubiquitous in nature. They occur in a large variety of real-world
systems ranging from ecology and epidemiology to neuroscience, socio-economics and
computer science Albert and Barabasi ( 2002 ); Dorogovtsev and Mendes ( 2003 ); Newman ( 2003 ); Newman et al. ( 2006 ) . While physics... | Adaptive networks appear in many biological applications. They combine topological evolution of the network with dynamics in the network nodes. Recently, the dynamics of adaptive networks has been investigated in a number of parallel studies from different fields, ranging from genomics to game theory. Here we review th... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Adaptive coevolutionary networks: a review* and the introduction:I Introduction Complex networks are ubiquitous in nature. They occur in a large variety of real-world
systems ranging from ecology and epidemiology to neuroscie... |
808.3773 | Area laws for the entanglement entropy - a review | I Introduction In classical physics concepts of entropy quantify the extent
to which we are uncertain about the exact state of a physical
system at hand or, in other words, the amount of information
that is lacking to identify the microstate of a system from
all possibilities compatible with the macrostate of the syste... | Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality of interactions is inherited by a decay of correlation functions, but also reflected by scaling laws of a quite profound quantity: The entanglement entropy of g... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Area laws for the entanglement entropy - a review* and the introduction:I Introduction In classical physics concepts of entropy quantify the extent
to which we are uncertain about the exact state of a physical
system at hand ... |
709.4198 | QUANTIZED DETECTOR NETWORKS: A REVIEW OF RECENT DEVELOPMENTS | and historical perspective The landscape of QM is littered with the debris of various interpretations
devised to explain away its strange non-classical properties such as
wave-particle duality and quantum interference. There is no space to review
any of these attempts here. Usually, they failed because their authors tr... | QDN (quantized detector networks) is a description of quantum processes in which the principal focus is on observers and their apparatus, rather than on states of SUOs (systems under observation). It is a realization of Heisenberg's original instrumentalist approach to quantum physics, and can deal with time dependent ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*QUANTIZED DETECTOR NETWORKS: A REVIEW OF RECENT DEVELOPMENTS* and the introduction:and historical perspective The landscape of QM is littered with the debris of various interpretations
devised to explain away its strange non-... |
809.0016 | An Overview of the Transmission Capacity of Wireless Networks | I Introduction This paper presents the recently developed framework for the outage probability and transmission capacity [ 1 ] in a one hop wireless ad hoc network. The transmission capacity is defined as the number of successful transmissions taking place in the network per unit area, subject to a constraint on outage... | This paper surveys and unifies a number of recent contributions that have collectively developed a metric for decentralized wireless network analysis known as transmission capacity. Although it is notoriously difficult to derive general end-to-end capacity results for multi-terminal or adhoc networks, the transmission ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*An Overview of the Transmission Capacity of Wireless Networks* and the introduction:I Introduction This paper presents the recently developed framework for the outage probability and transmission capacity 1 in a one hop wir... |
709.4232 | Q-manifolds and Mackenzie theory: an overview | 1. Introduction This text is meant to be a brief overview of the topics announced in the title. It does not contain new results (except probably for the remark concerning Q 𝑄 Q -manifold homology, which we wish to elaborate elsewhere). The original exposition of Mackenzie’s constructions is in his papers [ 10 , 21 , 1... | This text is meant to be a brief overview of the topics announced in the title and is based on my talk in Vienna (August/September 2007). It does not contain new results (except probably for a remark concerning Q-manifold homology, which I wish to elaborate elsewhere).
"Mackenzie theory" stands for the rich circle of ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Q-manifolds and Mackenzie theory: an overview* and the introduction:1. Introduction This text is meant to be a brief overview of the topics announced in the title. It does not contain new results (except probably for the rema... |
809.0995 | Unparticle Phenomenology—A Mini Review | Figure 1: Angular distributions for e − e + → μ − μ + → superscript 𝑒 superscript 𝑒 superscript 𝜇 superscript 𝜇 e^{-}e^{+}\to\mu^{-}\mu^{+} with various scaling dimension d U subscript 𝑑 𝑈 d_{U} for the spin 1 unparticle exchange
with L L + R R 𝐿 𝐿 𝑅 𝑅 LL+RR contact terms plus the SM contributions
at ... | We review some collider phenomenology of unparticle physics, including real emissions and virtual exchanges of unparticle. Existing experimental constraints from collider physics as well as astrophysics are briefly discussed. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Unparticle Phenomenology—A Mini Review* and the introduction:Figure 1: Angular distributions for e − e + → μ − μ + → superscript 𝑒 superscript 𝑒 superscript 𝜇 superscript 𝜇 e^{-}e^{+}\to\mu^{-}\mu^{+} with various sca... |
710.0098 | A survey of large N continuum phase transitions | 1 Large N 𝑁 N QCD in the ’t Hooft limit Large N 𝑁 N gauge theories [ 1 ] are qualitatively similar to
QCD with three colors and it is long held hope
to solve it analytically for N = ∞ 𝑁 N=\infty .
Only planar diagrams contribute in this limit and
fermions in the fundamental representation are
naturally quenched as l... | The main focus of this talk is the physics of large N QCD on a continuum torus. A cascade of phase transitions associated with the breaking of U(1) symmetries will be discussed. The continuum Wilson loop as a function of its area will be discussed along with its universality properties and the associated double scaling... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A survey of large N continuum phase transitions* and the introduction:1 Large N 𝑁 N QCD in the t Hooft limit Large N 𝑁 N gauge theories 1 are qualitatively similar to
QCD with three colors and it is long held hope
to solv... |
809.1186 | Survey on Affine Spheres | 1. Introduction Affine spheres were introduced by Ţiţeica in [ 72 , 73 ] , and studied later by Blaschke,
Calabi, and Cheng-Yau, among others. These are hypersurfaces in
affine ℝ n + 1 superscript ℝ 𝑛 1 \mathbb{R}^{n+1} which are related to real Monge-Ampère
equations, to projective structures on manifolds, and to the... | We give a survey of the theory of affine spheres, emphasizing the convex cases and relationsships to Monge-Ampere equations and geometric structures on manifolds. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Survey on Affine Spheres* and the introduction:1. Introduction Affine spheres were introduced by Ţiţeica in 72 , 73 , and studied later by Blaschke,
Calabi, and Cheng-Yau, among others. These are hypersurfaces in
affine ℝ n... |
710.1447 | Quantum information processing using nuclear and electron magnetic resonance: review and prospects | I Liquid state NMR I.1 Magnetic interactions In the semi-classical picture, the spin of a nucleus behaves like the
dipolar moment of a magnet possessing angular momentum parallel to its
magnetic moment. When placed in a constant magnetic field pointing along a
certain direction, (customarily defined as the z 𝑧 z direc... | This paper describes recent progress using nuclear magnetic resonance (NMR) as a platform for implementing quantum information processing (QIP) tasks. The basic ideas of NMR QIP are detailed, examining the successes and limitations of liquid and solid state experiments. Finally, a future direction for implementing quan... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Quantum information processing using nuclear and electron magnetic resonance: review and prospects* and the introduction:I Liquid state NMR I.1 Magnetic interactions In the semi-classical picture, the spin of a nucleus behave... |
810.0382 | On the field intersection problem of generic polynomials : a survey (Algebraic Number Theory and Related Topics 2007) | Let G 𝐺 G be a finite group, k 𝑘 k a field of characteristic ≠ 2 absent 2 \neq 2 , M 𝑀 M a field containing k 𝑘 k with # M = ∞ # 𝑀 \#M=\infty , and k ( 𝐭 ) 𝑘 𝐭 k(\mathbf{t}) the rational function field over k 𝑘 k with n 𝑛 n indeterminates 𝐭 = ( t 1 , … , t n ) 𝐭 subscript 𝑡 1 … subscript 𝑡 𝑛 \mathbf{... | Let k be a eld of characteristic 2. We survey a general method of the eld intersection problem of generic polynomials via formal Tschirnhausen transformation. We announce some of our recent results of cubic, quartic and quintic cases the details of which are to appear elsewhere. In this note, we give an explicit answer... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*On the field intersection problem of generic polynomials : a survey (Algebraic Number Theory and Related Topics 2007)* and the introduction:Let G 𝐺 G be a finite group, k 𝑘 k a field of characteristic ≠ 2 absent 2 \neq 2 , ... |
710.5455 | Analog Chaos-based Secure Communications and Cryptanalysis: A Brief Survey | I Introduction Since the late 1980s, chaos-based cryptography has attracted more
and more attention from researchers in many different areas. It has
been found that chaotic systems and cryptosystems share many similar
properties. For instance, chaotic systems are sensitive to the
initial conditions, which corresponds t... | A large number of analog chaos-based secure communication systems have been proposed since the early 1990s exploiting the technique of chaos synchronization. A brief survey of these chaos-based cryptosystems and of related cryptanalytic results is given. Some recently proposed countermeasures against known attacks are ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Analog Chaos-based Secure Communications and Cryptanalysis: A Brief Survey* and the introduction:I Introduction Since the late 1980s, chaos-based cryptography has attracted more
and more attention from researchers in many dif... |
710.5903 | Leaky Quantum Graphs: A Review | 1. Introduction In this paper we are going to review results concerning a class of
“different” quantum graph models. With this aim in mind, it
would be natural to start by recalling briefly the standard
quantum graphs, their description, properties, and numerous
applications. In this volume, however, this would be clea... | The aim of this review is to provide an overview of a recent work concerning ``leaky'' quantum graphs described by Hamiltonians given formally by the expression $-\Delta -\alpha \delta (x-\Gamma)$ with a singular attractive interaction supported by a graph-like set in $\mathbb{R}^\nu,\: \nu=2,3$. We will explain how su... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Leaky Quantum Graphs: A Review* and the introduction:1. Introduction In this paper we are going to review results concerning a class of
different quantum graph models. With this aim in mind, it
would be natural to start by re... |
810.0507 | An overview of abelian varieties in homotopy theory | The goal of this paper is to provide an overview of joint work with
Behrens on topological automorphic forms [ 8 ] . The ultimate
hope is to introduce a somewhat broad audience of topologists to this
subject matter connecting modern homotopy theory, algebraic geometry,
and number theory. Through an investigation of pro... | This is an expository article on the theory of formal group laws in homotopy theory, with the goal of leading to the connection with higher-dimensional abelian varieties and automorphic forms. These are roughly based on a talk at the conference "New Topological Contexts for Galois Theory and Algebraic Geometry." | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*An overview of abelian varieties in homotopy theory* and the introduction:The goal of this paper is to provide an overview of joint work with
Behrens on topological automorphic forms 8 . The ultimate
hope is to introduce a ... |
711.2198 | Stability, Singularities and Mass Thresholds in Child Universe Production — a concise survey including some recent results and prospects — | The questions about the origin, formation and development of our universe are
among the most challenging in physics, since they involve difficult theoretical
problems and, at the same time, are not subject to a direct experimental approach. Fortunately, in the last years, theoretical investigations have found
valuable ... | We present a review of selected topics concerning the creation and evolution of child universes, together with a concise account of some recent progress in the field. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Stability, Singularities and Mass Thresholds in Child Universe Production — a concise survey including some recent results and prospects —* and the introduction:The questions about the origin, formation and development of our... |
810.1002 | Scaling limits of two‐dimensional percolation: an overview | Percolation as a mathematical theory was introduced by Broadbent and Hammersley [ 11 , 12 ] to model the spread of a gas or a fluid through a porous medium.
To mimic the randomness of the medium, they declared the edges of the d 𝑑 d -dimensional cubic lattice
independently open (to the passage of the gas or fluid) wit... | We present a review of the recent progress on percolation scaling limits in two dimensions. In particular, we consider the convergence of critical crossing probabilities to Cardy's formula and of the critical exploration path to chordal stochastic Loewner evolution (SLE6), the full scaling limit of critical cluster bou... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Scaling limits of two‐dimensional percolation: an overview* and the introduction:Percolation as a mathematical theory was introduced by Broadbent and Hammersley 11 , 12 to model the spread of a gas or a fluid through a poro... |
711.3199 | Analyzing and modeling real-world phenomena with complex networks: a survey of applications | The many achievements of physics over the last few centuries have been based on
reductionist approaches, whereby the system of interest is reduced to a small, isolated
portion of the world, with full control of the parameters involved ( e.g. , temperature,
pressure, electric field). An interesting instance of reduction... | The success of new scientific areas can be assessed by their potential in contributing to new theoretical approaches and in applications to real-world problems. Complex networks have fared extremely well in both of these aspects, with their sound theoretical basis being developed over the years and with a variety of ap... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Analyzing and modeling real-world phenomena with complex networks: a survey of applications* and the introduction:The many achievements of physics over the last few centuries have been based on
reductionist approaches, whereb... |
810.3231 | An Experimental Review of Charmonium | I INTRODUCTION After more than 30 years, the charmonium system continues to provide an important laboratory for the study of the strong force. This brief review reflects the wide scope of strong force physics that is accessible in the charmonium system. The physics impact of the results presented here ranges from tests... | This review briefly outlines recent experimental results from the charmonium system. These include new measurements of the M1 radiative transition rates $B(\psi(1S,2S)\to\gamma\eta_c(1S))$; new insights into the mass of the $\eta_c(1S)$; the observation of $J/\psi(1S)$ decays to three photons; new measurements of the t... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*An Experimental Review of Charmonium* and the introduction:I INTRODUCTION After more than 30 years, the charmonium system continues to provide an important laboratory for the study of the strong force. This brief review refle... |
711.3875 | An Overview of Hopf Algebras of Trees and Their Actions on Functions | There is growing interest in Hopf algebras defined from trees,
permutations, and other combinatorial structures. In this paper,
we provide an expository account of some of the Hopf algebras
that can be defined using trees, labeled trees, ordered trees
and heap ordered trees. We also describe some actions of these
Hopf ... | We provide an expository account of some of the Hopf algebras that can be defined using trees, labeled trees, ordered trees and heap ordered trees. We also describe some actions of these Hopf algebras on algebra of functions. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*An Overview of Hopf Algebras of Trees and Their Actions on Functions* and the introduction:There is growing interest in Hopf algebras defined from trees,
permutations, and other combinatorial structures. In this paper,
we pro... |
711.4086 | Loops in the Hamiltonian group: a survey | 1. Introduction Let ( M , ω ) 𝑀 𝜔 (M,{\omega}) be a symplectic manifold that is closed, i.e. compact and without boundary. We denote its group of diffeomorphisms by Diff := Diff M assign Diff Diff 𝑀 {\rm Diff}:={\rm Diff}\,M and by Symp := Symp ( M , ω ) assign Symp Symp 𝑀 𝜔 {\rm Symp}:={\rm Symp}(M,{\omega}) ... | This note describes some recent results about the homotopy properties of Hamiltonian loops in various manifolds, including toric manifolds and one point blow ups. We describe conditions under which a circle action does not contract in the Hamiltonian group, and construct an example of a loop $\ga$ of diffeomorphisms of... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Loops in the Hamiltonian group: a survey* and the introduction:1. Introduction Let ( M , ω ) 𝑀 𝜔 (M,{\omega}) be a symplectic manifold that is closed, i.e. compact and without boundary. We denote its group of diffeomorphism... |
810.4176 | Top quark theory review for the Tevatron, LHC, and ILC | I THE MANY FACETS OF TOP QUARK PHYSICS The study of top-quark properties and dynamics provides a unique
window to the mechanism of electroweak symmetry breaking (EWSB). The
large mass of the top quark suggests that it plays a special role in
EWSB, and that new physics connected to EWSB may be found first
through precis... | I will briefly review the status of higher-order calculations for top-quark observables, comment on the need for improvements, discuss some of the recent theoretical advances, and present a few examples to highlight the role of top-quark observables in searches for signals of physics beyond the Standard Model. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Top quark theory review for the Tevatron, LHC, and ILC* and the introduction:I THE MANY FACETS OF TOP QUARK PHYSICS The study of top-quark properties and dynamics provides a unique
window to the mechanism of electroweak symme... |
810.4191 | Survey on recent invariants on classical knot theory | 1. Link diagrams and Reidemeister moves The classical knot theory studies the position of a circle (knots)
or of several circles (links) in S 3 superscript 𝑆 3 S^{3} (or ℝ 3 superscript ℝ 3 \mathbb{R}^{3} ). We say that
two links L 1 subscript 𝐿 1 L_{1} and L 2 subscript 𝐿 2 L_{2} in S 3 superscript 𝑆 3 S^{3} are i... | The survey we are presenting is over 22 years old but it has still some ideas which where never published (except in Polish). This survey is the base of the third Chapter of my book: KNOTS: From combinatorics of knot diagrams to combinatorial topology based on knots, which is still in preparation (but compare this http... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Survey on recent invariants on classical knot theory* and the introduction:1. Link diagrams and Reidemeister moves The classical knot theory studies the position of a circle (knots)
or of several circles (links) in S 3 supers... |
810.483 | A survey of Einstein metrics on 4-manifolds | 1. Introduction. The Einstein equations (1.1) R i c g = λ g , λ ∈ ℝ , formulae-sequence 𝑅 𝑖 subscript 𝑐 𝑔 𝜆 𝑔 𝜆 ℝ Ric_{g}=\lambda g,\ \ \lambda\in{\mathbb{R}}, for a Riemannian metric g 𝑔 g are the simplest and most natural set of
equations for a metric on a given compact manifold M 𝑀 M . Historically
th... | We survey some aspects of the current state of research on Einstein metrics on compact 4-manifolds. A number of open problems are presented and discussed. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A survey of Einstein metrics on 4-manifolds* and the introduction:1. Introduction. The Einstein equations (1.1) R i c g = λ g , λ ∈ ℝ , formulae-sequence 𝑅 𝑖 subscript 𝑐 𝑔 𝜆 𝑔 𝜆 ℝ Ric_{g}=\lambda g,\ \ \lambda\in... |
810.5226 | Review of Properties of the Top Quark from Measurements at the Tevatron | The existence of a third and most massive generation of fundamental
fermions was unveiled in 1975 with the discovery of the τ 𝜏 \tau lepton at SLAC-LBL [ 1 ] . In 1977, the discovery of the
bottom quark [ 2 ] at Fermilab extended the knowledge
of a third generation into the quark sector and immediately raised
the ques... | This review summarizes the program in the physics of the top quark being pursued at Fermilab's Tevatron proton–antiproton collider at a center-of-mass energy of 1.96 TeV. More than a decade after the discovery of the top quark at the two collider detectors CDF and D0, the Tevatron has been the only accelerator to produ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Review of Properties of the Top Quark from Measurements at the Tevatron* and the introduction:The existence of a third and most massive generation of fundamental
fermions was unveiled in 1975 with the discovery of the τ 𝜏 \t... |
810.5755 | Non-Invasive Glucose Monitoring Techniques: A Review and current trends | I Introduction Diabetes mellitus is a medical condition in which the body does not adequately produce the quantity or quality of insulin needed to maintain a normal circulating blood glucose. Insulin is a hormone that enables glucose (sugar) to enter the body’s cells to be used for energy. Two types of diabetes are com... | Diabetes mellitus is a complex group of syndromes that have in common a disturbance in the body's use of glucose, resulting in an elevated blood sugar. Once detected, sugar diabetes can be controlled by an appropriate regimen that should include diet therapy, a weight reduction program for those persons who are overwei... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Non-Invasive Glucose Monitoring Techniques: A Review and current trends* and the introduction:I Introduction Diabetes mellitus is a medical condition in which the body does not adequately produce the quantity or quality of in... |
811.2156 | A survey of combinatorial aspects in the topology of complex hyperplane arrangements | 1. Introduction By a hyperplane arrangement 𝒜 𝒜 {\mathcal{A}} we understand in what follows either a collection { H 1 , … , H n } subscript 𝐻 1 … subscript 𝐻 𝑛 \{H_{1},\dots,H_{n}\} of codimension one subspaces
in a finite dimensional vector space V 𝑉 V or the subspace of the ambient space V 𝑉 V given by their u... | We survey interactions between the topology and the combinatorics of complex hyperplane arrangements. Without claiming to be exhaustive, we examine in this setting combinatorial aspects of fundamental groups, associated graded Lie algebras, higher homotopy groups, cohomology rings, twisted homology with rank 1 complex ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A survey of combinatorial aspects in the topology of complex hyperplane arrangements* and the introduction:1. Introduction By a hyperplane arrangement 𝒜 𝒜 {\mathcal{A}} we understand in what follows either a collection { H ... |
801.0963 | Permutation Patterns: A survey of simple permutations | An interval of a permutation π 𝜋 \pi corresponds to a set of contiguous indices I = [ a , b ] 𝐼 𝑎 𝑏 I=[a,b] such that the set of values π ( I ) = { π ( i ) : i ∈ I } 𝜋 𝐼 conditional-set 𝜋 𝑖 𝑖 𝐼 \pi(I)=\{\pi(i):i\in I\} is also contiguous. Every permutation of length n 𝑛 n has intervals of lengths 0 0 , 1... | We survey the known results about simple permutations. In particular, we present a number of recent enumerative and structural results pertaining to simple permutations, and show how simple permutations play an important role in the study of permutation classes. We demonstrate how classes containing only finitely many ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Permutation Patterns: A survey of simple permutations* and the introduction:An interval of a permutation π 𝜋 \pi corresponds to a set of contiguous indices I = a , b 𝐼 𝑎 𝑏 I=a,b such that the set of values π ( I ) = {... |
811.216 | An overview of arithmetic motivic integration | 1. Introduction The aim of these notes is to provide an elementary
introduction to some aspects of the theory of
arithmetic motivic integration, as well as a brief guide to the extensive
literature on the subject. The idea of motivic integration was introduced by M. Kontsevich in 1995.
It was quickly developed by J. De... | This is an attempt at an elementary exposition, with examples, of the theory of motivic integration developed by R. Cluckers and F. Loeser, with the view towards applications in representation theory of p-adic groups. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*An overview of arithmetic motivic integration* and the introduction:1. Introduction The aim of these notes is to provide an elementary
introduction to some aspects of the theory of
arithmetic motivic integration, as well as a... |
801.1655 | Episturmian words: a survey | 1.1 From Sturmian to episturmian Most renowned amongst the branches of combinatorics on words is the theory of infinite binary sequences called Sturmian words , which are fascinating in many respects, having been studied from combinatorial, algebraic, and geometric points of view. Their beautiful properties are related... | In this paper, we survey the rich theory of infinite episturmian words which generalize to any finite alphabet, in a rather resembling way, the well-known family of Sturmian words on two letters. After recalling definitions and basic properties, we consider episturmian morphisms that allow for a deeper study of these w... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Episturmian words: a survey* and the introduction:1.1 From Sturmian to episturmian Most renowned amongst the branches of combinatorics on words is the theory of infinite binary sequences called Sturmian words , which are fasc... |
811.2642 | The Charm Renaissance: $D^-$ Physics - A Selective Review | In recent years, no doubt because of the success of the B 𝐵 B -physics
programme at BaBar and Belle, charm has been considered the
poor relation of heavy-quark physics. This is now changing: while B 𝐵 B -physics remains the biggest show in town, it is no longer the only show. As will be argued, measurements in the D ... | In recent years, no doubt because of the success of the B-physics programme at BaBar and Belle, charm has been considered the poor relation of heavy-quark physics. This is now changing: while B-physics remains the biggest show in town, it is no longer the only show. As will be argued, measurements in the D-sector have ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*The Charm Renaissance: $D^-$ Physics - A Selective Review* and the introduction:In recent years, no doubt because of the success of the B 𝐵 B -physics
programme at BaBar and Belle, charm has been considered the
poor relation... |
801.2412 | Generalized permutation patterns - a short survey | 1. Introduction Patterns in permutations have been studied sporadically, often
implicitly, for over a century, but in the last two decades this area
has grown explosively, with several hundred published papers. As
seems to be the case with most things in enumerative combinatorics,
some instances of permutation patterns... | An occurrence of a classical pattern p in a permutation π is a subsequence of π whose letters are in the same relative order (of size) as those in p. In an occurrence of a generalized pattern, some letters of that subsequence may be required to be adjacent in the permutation. Subsets of permutations characterized by th... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Generalized permutation patterns - a short survey* and the introduction:1. Introduction Patterns in permutations have been studied sporadically, often
implicitly, for over a century, but in the last two decades this area
has ... |
801.4504 | Critical review of K − ppn bound states | I Introduction The possibility of having deeply bound K − superscript 𝐾 K^{-} states in nuclei is drawing much
attention both theoretically and experimentally. The starting point to face
this problem is obviously the understanding of the elementary K ¯ N ¯ 𝐾 𝑁 \bar{K}N interaction, and lots of efforts have been de... | We make a thorough study of the process of three-body kaon absorption in nuclei, in connection with a recent FINUDA experiment which claims the existence of a deeply bound kaonic state from the observation of a peak in the {lambda}d invariant mass distribution following K{sup -} absorption on {sup 6}Li. We show that th... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Critical review of K − ppn bound states* and the introduction:I Introduction The possibility of having deeply bound K − superscript 𝐾 K^{-} states in nuclei is drawing much
attention both theoretically and experimentally. Th... |
811.3598 | Solid ^4He and the Supersolid Phase: from Theoretical Speculation to the Discovery of a New State of Matter? : A Review of the Past and Present Status of Research( New Frontiers of Quantum Fluids and Solids) | Should we see atoms flowing without resistance in and out of a solid made of the same atoms,
this would certainly be counterintuitive because the same entities have
to simultaneously give the rigidity intrinsic to a solid and provide the moving particles.
Note the difference between this system and the case of a
superc... | The possibility of a supersolid state of matter, i.e., a crystalline solid exhibiting superfluid properties, first appeared in theoretical studies about forty years ago. After a long period of little interest due to the lack of experimental evidence, it has attracted strong experimental and theoretical attention in the... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Solid ^4He and the Supersolid Phase: from Theoretical Speculation to the Discovery of a New State of Matter? : A Review of the Past and Present Status of Research( New Frontiers of Quantum Fluids and Solids)* and the introduc... |
801.4914 | Time-fractional derivatives in relaxation processes: a tutorial survey | 1 Definitions and properties For a sufficiently well-behaved function f ( t ) 𝑓 𝑡 f(t) (with t ∈ 𝐑 + 𝑡 superscript 𝐑 t\in{\bf R}^{+} )
we may define the derivative
of a positive non-integer order in two different senses, that we refer here as to Riemann-Liouville (R-L) derivative
and Caputo (C) derivative, respe... | The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classical theory of linear v... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Time-fractional derivatives in relaxation processes: a tutorial survey* and the introduction:1 Definitions and properties For a sufficiently well-behaved function f ( t ) 𝑓 𝑡 f(t) (with t ∈ 𝐑 + 𝑡 superscript 𝐑 t\in{\bf... |
804.0872 | Analytic QCD - a Short Review | I Introduction Perturbative QCD calculations involve coupling a ( Q 2 ) ≡ α s ( Q 2 ) / π 𝑎 superscript 𝑄 2 subscript 𝛼 𝑠 superscript 𝑄 2 𝜋 a(Q^{2})\equiv\alpha_{s}(Q^{2})/\pi which has Landau singularities (poles, cuts)
on the space-like semiaxis 0 ≤ Q 2 ≤ Λ 2 0 superscript 𝑄 2 superscript Λ 2 0\leq Q^{2}\l... | Analytic versions of QCD are those whose coupling αs(Q2) does not have the unphysical Landau singularities on the space-like axis (-q2= Q2 > 0). The coupling is analytic in the entire complex plane except the time-like axis (Q2 < 0). Such couplings are thus suitable for application of perturbative methods down to energ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Analytic QCD - a Short Review* and the introduction:I Introduction Perturbative QCD calculations involve coupling a ( Q 2 ) ≡ α s ( Q 2 ) / π 𝑎 superscript 𝑄 2 subscript 𝛼 𝑠 superscript 𝑄 2 𝜋 a(Q^{2})\equiv\alpha_{s... |
811.3877 | Interpretations of Quantum Mechanics: a critical survey | I Quantum Theory: brief Overview Can we explain what the
world is through a fundamental physical theory? This question
corresponds to the historic disagreement among scientists and
epistemologists concerning how to regard physical theories to
which people commonly refer as the realist/antirealist debate. The
position o... | This brief survey analyzes the epistemological implications about the role of observer in the interpretations of Quantum Mechanics. As we know, the goal of most interpretations of quantum mechanics is to avoid the apparent intrusion of the observer into the measurement process. In the same time, there are implicit and ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Interpretations of Quantum Mechanics: a critical survey* and the introduction:I Quantum Theory: brief Overview Can we explain what the
world is through a fundamental physical theory? This question
corresponds to the historic ... |
804.1528 | Review of Applications of YFS-Style Resummation in Quantum Field Theory via Monte Carlo Methods | 1 Preface It is with great pleasure that I present this review of the application
of YFS-style [ 1 ] exact, amplitude based
resummation via Monte Carlo methods
on the occasion of the 60 t h superscript 60 𝑡 ℎ 60^{th} birthday of Prof. S. Jadach, my friend
and collaborator since 1985. In the review, we intend to high... | We review the application of exact, amplitude-based, YFS-syle resummation in quantum field theory via Monte Carlo methods. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Review of Applications of YFS-Style Resummation in Quantum Field Theory via Monte Carlo Methods* and the introduction:1 Preface It is with great pleasure that I present this review of the application
of YFS-style 1 exact, a... |
804.2701 | Information Resources in High-Energy Physics: Surveying the Present Landscape and Charting the Future Course | High-Energy Physics (HEP), also known as Particle Physics, has a long
record of innovation in scholarly communication. Half a century ago,
theoretical physicists and experimental collaborations mailed to their
peers hundreds, even thousands, of copies of their manuscripts. This occurred
at the
time of submission to pee... | Access to previous results is of paramount importance in the scientific process. Recent progress in information management focuses on building e-infrastructures for the optimization of the research workflow, through both policy-driven and user-pulled dynamics. For decades, High-Energy Physics (HEP) has pioneered innova... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Information Resources in High-Energy Physics: Surveying the Present Landscape and Charting the Future Course* and the introduction:High-Energy Physics (HEP), also known as Particle Physics, has a long
record of innovation in ... |
812.1202 | Superallowed 0+ → 0+ nuclear β decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model | I Introduction Precise measurements of the beta decay between nuclear analog states of spin, J π = 0 + superscript 𝐽 𝜋 superscript 0 J^{\pi}=0^{+} ,
and isospin, T = 1 𝑇 1 T=1 , provide demanding and fundamental tests of the properties of the
electroweak interaction. Collectively, these transitions can sensitively p... | A new critical survey is presented of all half-life, decay-energy, and branching-ratio measurements related to 20 superallowed ${0}^{+}\ensuremath{\rightarrow}{0}^{+}\ensuremath{\beta}$ decays. Compared with our last review, there are numerous improvements: First, we have added 27 recently published measurements and el... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Superallowed 0+ → 0+ nuclear β decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model* and the introduction:I Introduction Precise measurements of the beta decay between nu... |
804.3701 | Some results on non-self-adjoint operators, a survey | 1.1 Some background For self-adjoint and more generally normal operators on some
complex Hilbert space ℋ ℋ {\cal H} we have a nice theory, including the
spectral theorem and a nice estimate on the norm of the resolvent: ‖ ( z − P ) − 1 ‖ ≤ ( dist ( z , σ ( P ) ) ) − 1 , σ ( P ) = the spectrum of P . formulae-se... | This text is a survey of recent results obtained by the author and collaborators on different problems for non-self-adjoint operators. The topics are: Kramers-Fokker-Planck type operators, spectral asymptotics in two dimensions and Weyl asymptotics for the eigenvalues of non-self-adjoint operators with small random per... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Some results on non-self-adjoint operators, a survey* and the introduction:1.1 Some background For self-adjoint and more generally normal operators on some
complex Hilbert space ℋ ℋ {\cal H} we have a nice theory, including t... |
812.2051 | Surveying the Phenomenology of General Gauge Mediation | Gauge mediation is a predictive and flavor blind communication mechanism for SUSY breaking [ 1 ] .
The earliest and simplest implementation of minimal gauge mediation involved communication of SUSY breaking from the hidden sector through a single set
of vector like messengers charged under standard model gauge groups.
... | I explore the phenomenology, constraints and tuning for several weakly coupled implementations of multi-parameter gauge mediation and compare to minimal gauge mediation. The low energy spectra are distinct from that of minimal gauge mediation, a wide range of NLSPs is found and spectra are significantly compressed thus... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Surveying the Phenomenology of General Gauge Mediation* and the introduction:Gauge mediation is a predictive and flavor blind communication mechanism for SUSY breaking 1 .
The earliest and simplest implementation of minimal... |
804.4158 | Predictions for the LHC: an overview | In this paper I present an overview of the predictions for Pb-Pb collisions at s NN = 5.5 subscript 𝑠 NN 5.5 \sqrt{s_{\rm NN}}=5.5 TeV at the Large Hadron Collider, mainly based on the material presented during the workshop ’Heavy Ion Collisions at the LHC - Last Call for Predictions’, held in the frame of the CERN Th... | I present an overview of predictions for the heavy ion program at the Large Hadron Collider. It is mainly based on the material presented during the workshop 'Heavy Ion Collisions at the LHC—Last Call for Predictions', held in the frame of the CERN Theory Institute from May 14th to June 10th, 2007. Predictions on both ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Predictions for the LHC: an overview* and the introduction:In this paper I present an overview of the predictions for Pb-Pb collisions at s NN = 5.5 subscript 𝑠 NN 5.5 \sqrt{s_{\rm NN}}=5.5 TeV at the Large Hadron Collider, ... |
812.4703 | Singularity resolution in loop quantum cosmology: A brief overview | I Issue of the Beginning and the End Over the history of mankind, cosmological paradigms have evolved
in interesting ways. It is illuminating to begin with a long range
historical perspective by recalling paradigms that seemed obvious
and most natural for centuries only to be superseded by radical
shifts. Treatise on T... | A brief summary of loop quantum cosmology of homogeneous isotropic models is presented for non-experts with emphasis on the origin of and subtleties associated with the resolution of big bang and big crunch singularities. For further details, and a discussion of some frequently asked questions, the reader is directed t... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Singularity resolution in loop quantum cosmology: A brief overview* and the introduction:I Issue of the Beginning and the End Over the history of mankind, cosmological paradigms have evolved
in interesting ways. It is illumin... |
812.4887 | From Bell Inequalities to Tsirelson's Theorem | Correlations between observed measurements are a fundamental
resource in quantum information.
In his seminal 1964 paper, Bell [ 4 ] demonstrated an
inequality that must be satisfied by correlations obtained
classically, but may be violated by a quantum correlation experiment.
Subsequently, the term Bell inequalities ha... | The first part of this paper contains an introduction to Bell inequalities and Tsirelson’s theorem for the non-specialist. The next part gives an explicit optimum construction for the “hard” part of Tsirelson’s theorem. In the final part we describe how upper bounds on the maximal quantum violation of Bell inequalities... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*From Bell Inequalities to Tsirelson's Theorem* and the introduction:Correlations between observed measurements are a fundamental
resource in quantum information.
In his seminal 1964 paper, Bell 4 demonstrated an
inequality ... |
901.0678 | A SURVEY OF MEASURED GROUP THEORY | 1. Introduction This survey concerns an area of mathematics which studies infinite countable groups
using measure-theoretic tools, and studies Ergodic Theory of group actions,
emphasizing the impact of group structure on the actions. Measured Group Theory is a particularly fitting title as it suggests
an analogy with G... | The title refers to the area of research which studies infinite groups using measure-theoretic tools, and studies the restrictions that group structure imposes on er- godic theory of their actions. The paper is a survey of recent developments focused on the notion of Measure Equivalence between groups, and Orbit Equiva... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A SURVEY OF MEASURED GROUP THEORY* and the introduction:1. Introduction This survey concerns an area of mathematics which studies infinite countable groups
using measure-theoretic tools, and studies Ergodic Theory of group ac... |
901.1302 | Black holes and entropy in loop quantum gravity: An Overview | I Introduction Black holes (BH) have become rather prominent in fundamental
physics ever since the fundamental results in the early 70’s
showing that black holes satisfy some ‘thermodynamic-like laws’,
summarized in the celebrated laws of black hole mechanics BCH , δ M = κ 8 π G δ A , 𝛿 𝑀 𝜅 8 𝜋 𝐺 𝛿 𝐴 \... | Black holes in equilibrium and the counting of their entropy within Loop Quantum Gravity are reviewed. In particular, we focus on the conceptual setting of the formalism, briey summarizing the main results of the classical formalism and its quantization. We then focus on recent results for small, Planck scale, black ho... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Black holes and entropy in loop quantum gravity: An Overview* and the introduction:I Introduction Black holes (BH) have become rather prominent in fundamental
physics ever since the fundamental results in the early 70s
showin... |
901.1489 | Review of Rotational Symmetry Breaking in Baby Skyrme Models | 1 Breaking of Rotational Symmetry in Baby Skyrme Models The Skyrme model [ 1 , 2 ] is an SU(2)-valued nonlinear theory for pions in (3+1) dimensions
with topological soliton solutions called skyrmions.
Apart from a kinetic term, the Lagrangian of the model contains
a ‘Skyrme’ term which is of the fourth order in deriva... | We discuss one of the most interesting phenomena exhibited by baby skyrmions – breaking of rotational symmetry. The topics we will deal with here include the appearance of rotational symmetry breaking in the static solutions of baby Skyrme models, both in flat as well as in curved spaces, the zero-temperature crystalli... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Review of Rotational Symmetry Breaking in Baby Skyrme Models* and the introduction:1 Breaking of Rotational Symmetry in Baby Skyrme Models The Skyrme model 1 , 2 is an SU(2)-valued nonlinear theory for pions in (3+1) dimens... |
901.1647 | Cold nuclear effects on heavy flavours: a review | 1 Foreword The understanding of normal nuclear effects on heavy flavours production recently became crucial to understand the J / ψ 𝐽 𝜓 J/\psi nuclear modification factors measured with the PHENIX experiment [ 1 ] . In particular, the observed rapidity dependence of J / ψ 𝐽 𝜓 J/\psi suppression is reversed with res... | Before wondering about the quark–gluon plasma (QGP), one has to take into account various cold (normal) nuclear matter effects, that can be probed through p+A like collisions. This paper aims at reviewing the current results (and understanding) of these effects on heavy quarks and quarkonia production. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Cold nuclear effects on heavy flavours: a review* and the introduction:1 Foreword The understanding of normal nuclear effects on heavy flavours production recently became crucial to understand the J / ψ 𝐽 𝜓 J/\psi nuclear m... |
901.1929 | REVIEWS AND PERSPECTIVES ON BLACK HOLE COMPLEMENTARITY | The black hole information loss problem is one of the most important issues in modern physics. If there is information loss, it may imply the fundamental limitation of the quantum theory of gravity. Thus, there is almost a consensus that accepts the conservation of information. The next natural question becomes, how ca... | If black hole complementarity is the correct idea to resolve the information loss problem, it should apply to general black holes. We suggest two models: Frolov, Markov, and Mukhanov's regular black hole and a charged black hole. These models can work as counterexamples to black hole complementarity. It has been mentio... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*REVIEWS AND PERSPECTIVES ON BLACK HOLE COMPLEMENTARITY* and the introduction:The black hole information loss problem is one of the most important issues in modern physics. If there is information loss, it may imply the fundam... |
901.3473 | Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results | 1.1 Historical background on microscopic study of nuclear collective motions A standard description of
fermion many-body systems
starts with the most basic approximation
that is based on an independent-particle (IP) picture, i.e.,
self-consistent-field (SCF) approximation for the fermions.
The Hartree–Fock theory (HFT)... | The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematical tool to describe a symmetry of a collective subma- nifold in which a canonicity condition makes the collective variabl... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results* and the introduction:1.1 Historical background on microscopic study of nuclear collective motions A standard ... |
902.248 | Survey on aspherical manifolds | 1. Homotopy theory of aspherical manifolds From the homotopy theory point of view an aspherical C W 𝐶 𝑊 CW -complex
is completely determined by its fundamental group. Namely Theorem 1.1 (Homotopy classification of aspherical spaces) . (i) Two
aspherical C W 𝐶 𝑊 CW -complexes are homotopy equivalent if and only ... | This is a survey on known results and open problems about closed aspherical manifolds, i.e., connected closed manifolds whose universal coverings are contractible. Many examples come from certain kinds of non-positive curvature conditions. The property aspherical which is a purely homotopy theoretical condition implies... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Survey on aspherical manifolds* and the introduction:1. Homotopy theory of aspherical manifolds From the homotopy theory point of view an aspherical C W 𝐶 𝑊 CW -complex
is completely determined by its fundamental group. N... |
903.0091 | Weight structures and motives; comotives, coniveau and Chow-weight spectral sequences, and mixed complexes of sheaves: a survey | This article is a survey of author’s results on Voevodsky’s motives
and weight structures; yet it is supplied with detailed references. Weight structures are natural
counterparts of t 𝑡 t -structures (for triangulated categories) introduced
by the author in [ Bon07 ] (and also independently by D. Pauksztello in [ Pau0... | This is a survey of author's results on weight structures and Voevodsky's motives. Weight structures are natural counterparts of t-structures (for triangulated categories) introduced by the author. They allow to construct weight complexes, weight filtrations, and weight spectral sequences for various cohomology theorie... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Weight structures and motives; comotives, coniveau and Chow-weight spectral sequences, and mixed complexes of sheaves: a survey* and the introduction:This article is a survey of authors results on Voevodskys motives
and weigh... |
903.237 | CRITICAL REVIEWS ON HOLOGRAPHIC MEASURE OVER THE MULTIVERSE | If the paradigm of inflation is correct, then there would be no other option than to conclude that
the global structure is the multiverse, a complex mixture of thermalized and inflating regions.
In the context of the multiverse, we could explore the cosmic fine-tuning problem by asking for statistical distributions ove... | In this talk, the holographic measure based on black hole complementarity is critically reviewed. By noticing the similarities between the causal structure of an inflationary dS space and that of a black hole, we have considered the complementarity principle between the inside and the outside of the causal horizon as a... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*CRITICAL REVIEWS ON HOLOGRAPHIC MEASURE OVER THE MULTIVERSE* and the introduction:If the paradigm of inflation is correct, then there would be no other option than to conclude that
the global structure is the multiverse, a co... |
903.4274 | Perfect, Efficent, State Transfer and its Application as a Constructive Tool | The study of quantum mechanical systems is no longer restricted to the characterization of the properties of naturally occurring systems. Rather, with the advent of Quantum Information, the manipulation and engineering of these systems to suit our purposes has come to the fore. One of the simplest ways to understand th... | We review the subject of perfect state transfer — how one designs the (fixed) interactions of a chain of spins so that a quantum state, initially inserted on one end of the chain, is perfectly transferred to the opposite end in a fixed time. The perfect state transfer systems are then used as a constructive tool to des... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Perfect, Efficent, State Transfer and its Application as a Constructive Tool* and the introduction:The study of quantum mechanical systems is no longer restricted to the characterization of the properties of naturally occurri... |
903.5446 | Algebras of unbounded operators and physical applications: a survey | I Introduction During the past 20 years a long series of papers concerning algebras
of unbounded operators appeared in the literature, papers which,
though being originally motivated by physical arguments, contain
essentially no physics at all. On the contrary the mathematical
aspects of these algebras have been analyz... | After an historical introduction on the standard algebraic approach to quantum mechanics of large systems we review the basic mathematical aspects of the algebras of unbounded operators. After that we discuss in some details their relevance in physical applications. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Algebras of unbounded operators and physical applications: a survey* and the introduction:I Introduction During the past 20 years a long series of papers concerning algebras
of unbounded operators appeared in the literature, ... |
904.1182 | The little review on leptogenesis | An elegant framework to consistently address the observed Baryon
Asymmetry in the Universe (BAU) [ 1 , 2 ] is
leptogenesis [ 3 ] . According to the standard paradigm of
leptogenesis [ 4 ] , minimal extensions of the Standard
Model (SM) realize heavy Majorana neutrinos of masses related to the
Grand Unified Theory (GUT)... | This is a brief review on the scenario of baryogenesis through leptogenesis. Leptogenesis is an appealing scenario that may relate the observed baryon asymmetry in the Universe to the low-energy neutrino data. In this review talk, particular emphasis is put on recent developments on the field, such as the flavourdynami... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*The little review on leptogenesis* and the introduction:An elegant framework to consistently address the observed Baryon
Asymmetry in the Universe (BAU) 1 , 2 is
leptogenesis 3 . According to the standard paradigm of
lept... |
904.1292 | A review of volatility and option pricing | and Outline This paper provides a review of the most significant volatility
models and their related option pricing models, where we survey
the development from constant up to stochastic volatility. We
define volatility, the volatility types and study the empirical
characteristics e.g. leverage effect. We discuss the k... | The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and option pricing methods, beginning with constant volatility models up to stochastic volatility. We also survey less comm... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A review of volatility and option pricing* and the introduction:and Outline This paper provides a review of the most significant volatility
models and their related option pricing models, where we survey
the development from ... |
904.1581 | On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review | 1. Introduction Random Matrix Theory (RMT) has found many applications, most notably in physics, multivariate statistics, electrical engineering, and finance.
As soon as there is the need for specific numbers, such as moments, quantiles, or correlations, the actual numerical evaluation of the
underlying probability dis... | In this paper we review and compare the numerical evaluation of those probability distributions in random matrix theory that are analytically represented in terms of Painleve transcendents or Fredholm determinants. Con- crete examples for the Gaussian and Laguerre (Wishart) β-ensembles and their various scaling limits ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review* and the introduction:1. Introduction Random Matrix Theory (RMT) has found many applications, most notably in physics, multivariate statistics, el... |
904.3644 | Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review | The theory of scattering by partially ordered, atomic or molecular,
structures in terms of paracrystals and lattice convolutions was formulated by Hosemann and Bagchi in [ 122 ] using basic techniques of Fourier analysis and convolution products.
A natural generalization of such molecular, partial symmetries and
their ... | A novel algebraic topology approach to supersymmetry (SUSY) and symmet- ry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: controlled nuclear fusion and other nuclear reaction studies in quantum chromodynamics, nonlinear... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review* and the introduction:The theory of scattering by partially ordered, atomic or molecular,
structures ... |
904.3797 | Internet Traffic Periodicities and Oscillations: A Brief Review | Internet traffic has exploded in the last fifteen years as an area
of intense theoretical and experimental research. As the largest
engineered infrastructure and information system in human history,
the Internet’s staggering size and complexity are reinforced by its
decentralized and self-organizing structure. Using pa... | Internet traffic displays many persistent periodicities (oscillations) on a large range of time scales. This paper describes the measurement methodology to detect Internet traffic periodicities and also describes the main periodicities in Internet traffic. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Internet Traffic Periodicities and Oscillations: A Brief Review* and the introduction:Internet traffic has exploded in the last fifteen years as an area
of intense theoretical and experimental research. As the largest
enginee... |
904.4744 | Duality, correspondences and the Lefschetz map in equivariant KK-theory: a survey | 1. Abstract duality and the Lefschetz map Throughout this paper, groupoid shall mean locally compact
Hausdorff groupoid with Haar system. All topological spaces will be
assumed paracompact, locally compact and Hausdorff. For the material in this section,
see [ Emerson-Meyer:Dualities ] . For source material on equivari... | We survey work by the author and Ralf Meyer on equivariant KK-theory. Duality plays a key role in our approach. We organize the survey around the objective of computing a certain homotopy-invariant of a space equipped with a proper action of a group or groupoid called the Lefschetz map. The Lefschetz map associates an ... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Duality, correspondences and the Lefschetz map in equivariant KK-theory: a survey* and the introduction:1. Abstract duality and the Lefschetz map Throughout this paper, groupoid shall mean locally compact
Hausdorff groupoid w... |
905.0932 | Holographic entanglement entropy: an overview | In recent developments of string theory, the idea of holography has obviously
played crucial roles. Holography claims that the degrees of freedom in ( d + 2 ) 𝑑 2 (d+2) -dimensional
quantum gravity are much more reduced than we naively think, and
will be comparable to those of quantum many body systems in d + 1 𝑑 1 d... | In this paper, we review recent progress on the holographic understanding of the entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) correspondence. In general, the AdS/CFT relates physical observables in strongly coupled quantum many-body systems to certain classical quantities in gravity... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Holographic entanglement entropy: an overview* and the introduction:In recent developments of string theory, the idea of holography has obviously
played crucial roles. Holography claims that the degrees of freedom in ( d + 2 ... |
905.2343 | The Levi problem on Stein spaces with singularities. A survey | 1. A brief history of the smooth case In 1910 E. E. Levi [ Lev ] noticed that a domain of holomorphy Ω Ω \Omega in ℂ n superscript ℂ 𝑛 {\mathbb{C}}^{n} , with smooth C 2 superscript 𝐶 2 C^{2} boundary, should satisfy some pseudocovexity condition on the
boundary points. More precisely he showed that if ρ 𝜌 \rho is a... | We discuss the well-known open problems : the Local Steiness Problem and the Union Problem. | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*The Levi problem on Stein spaces with singularities. A survey* and the introduction:1. A brief history of the smooth case In 1910 E. E. Levi Lev noticed that a domain of holomorphy Ω Ω \Omega in ℂ n superscript ℂ 𝑛 {\mathb... |
905.3693 | Review of theta(13) and prospects for Double Chooz | I Physics Motivations The neutrino oscillation phenomenon has been clearly established by the study of solar, atmospheric, reactor and beam neutrinos. The PMNS mixing matrix relates the three neutrino mass eigenstates to the three neutrino flavor eigenstates. This can be parametrized by three mixing angles ( θ 12 subsc... | The Double Chooz reactor neutrino experiment will be the next detector to search for a non vanishing theta(13) mixing angle with unprecedented sensitivity, which might open the way to unveiling CP violation in the leptonic sector. The measurement of this angle will be based on a precise comparison of the antineutrino s... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*Review of theta(13) and prospects for Double Chooz* and the introduction:I Physics Motivations The neutrino oscillation phenomenon has been clearly established by the study of solar, atmospheric, reactor and beam neutrinos. T... |
905.485 | A Survey on Cross-Site Scripting Attacks | The use of the web paradigm is becoming an emerging strategy
for application software companies [ 9 ] . It allows the
design of pervasive applications which can be potentially used by
thousands of customers from simple web clients. Moreover, the
existence of new technologies for the improvement of web features
(e.g., A... | Web applications are becoming truly pervasive in all kinds of business models and organizations. Today, most critical systems such as those related to health care, banking, or even emergency response, are relying on these applications. They must therefore include, in addition to the expected value offered to their user... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A Survey on Cross-Site Scripting Attacks* and the introduction:The use of the web paradigm is becoming an emerging strategy
for application software companies 9 . It allows the
design of pervasive applications which can be ... |
906.1499 | A short review on entanglement in quantum spin systems | I Introduction Quantum systems are ultimately characterized by the observable correlations they exhibit.
For instance, an observable
such as the correlation function between two spins in a typical spin chain
may decay exponentially as a function of
the distance separating them or, in the case the system undergoes a pha... | We review some of the recent progress on the study of entropy of entanglement in many-body quantum systems. Emphasis is placed on the scaling properties of entropy for one-dimensional multi-partite models at quantum phase transitions and, more generally, on the concept of area law. We also briefly describe the relation... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*A short review on entanglement in quantum spin systems* and the introduction:I Introduction Quantum systems are ultimately characterized by the observable correlations they exhibit.
For instance, an observable
such as the cor... |
906.3749 | The Busy Beaver Competition: a historical survey | 1.1 Noncomputable functions In 1936, Turing succeeded in making formal the intuitive notion of a
function computable by a finite, mechanical, procedure. He defined what
is now called a Turing machine and stated that a function on
integers is intuitively computable if and only if it is computable by a
Turing machine. Ot... | Tibor Rado defined the Busy Beaver Competition in 1962. He used Turing machines to give explicit definitions for some functions that are not computable and grow faster than any computable function. He put forward the problem of computing the values of these functions on numbers 1, 2, 3, ... More and more powerful compu... | [{"role":"user","content":"Help me to generate the abstract of a survey paper given the title:*The Busy Beaver Competition: a historical survey* and the introduction:1.1 Noncomputable functions In 1936, Turing succeeded in making formal the intuitive notion of a
function computable by a finite, mechanical, procedure. H... |
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