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redpajama_arxiv
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The model and the results A quick survey and some motivations A lot of progress have been made recently in the understanding of pinning models (see for a survey and particularly Chapter 1 for a definition of the simplest random walk based model) in particular in comparing quenched and annealed critical point (see ). ...
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Introduction The advent of D-branes and in particular, the successful microscopic description of the entropy of supersymmetric black holes by Strominger and Vafa has provided enormous impetus to the counting of BPS states in a variety of settings. Among these, the N=4 supersymmetric theories, have provided a fair...
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Introduction The data analysis of interferometric gravitational waves (GWs) detectors has recently started (for the current status of GWs interferometers see ) and the scientific community hopes in a first direct detection of GWs in next years. Detectors for GWs will be important for a better knowledge of the Univer...
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Introduction The classification theory of automorphisms of von Neumann algebras was studied by Connes using the Rohlin property for automorphisms of von Neumann algebras. To be specific, he classified automorphisms of the injective type II_1 -factor up to outer conjugacy. In a case of finite C^* -algebras, Kishimoto s...
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Introduction Bohr's principle of complementarity states that every quantum system has mutually incompatible properties which cannot be simultaneously measured . This principle is commonly illustrated by considering single particles in a two-way interferometer where one chooses either to observe interference fringes, ...
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Introduction It has been known for a long time that the pion vector form factor (VFF) in the space-like region is very well described by a monopole ansatz of the type given by Vector Meson Dominance (VMD) in terms of the rho meson. However, it has remained unclear whether there is a good reason for this from QCD or it...
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Introduction A mean-field model for clustering The clustering processes we consider are motivated by a simplified model for domain wall motion in the one-dimensional Allen-Cahn equation _tu=_xxu+u-u^3 . The domain walls become points on the line, and the domains are the intervals separated by these points. The pat...
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Introduction Mesoscopic devices have made it possible to investigate many-body effect in transport phenomena. A bias voltage applied to a conductor drives the system into a nonequilibrium steady state. These systems thus offer promising opportunities to study the correlated transport out of equilibrium. Shot n...
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The standard model One of the most remarkable achievements of modern theoretical physics has been the construction of the standard model for weak, electromagnetic and strong interactions. It is a gauge theory based on the group U(1) SU(2) SU(3) which is spontaneously broken to U(1) SU(3) . This relatively simple mod...
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Introduction Supersymmetry (SUSY) extension is one of the most promising way to solve the gauge hierarchy problem in the standard model (SM) . Since any superpartners have not been observed in current experiments, SUSY should be broken at low energies. Furthermore, soft SUSY breaking terms are severely constraine...
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Introduction Many difficult problems can be approximated well when restricted to certain classes of metrics . Therefore, low distortion embeddings into these restricted classes of metrics become very desirable. We will refer to the original metric which we would like to embed as the source metric and the metric into...
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Introduction There is a beautiful relationship between the conformal field theory of free fermions, the KP hierarchy, and the geometry of moduli spaces of curves and bundles. In particular, the deformation theory of curves and of line (or vector) bundles on them is realized algebraically by the Virasoro and Heisenber...
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Introduction Suppose that G is an abelian group, which we shall think of as discrete. We write G for the dual group, that is the compact abelian group of homomorphisms :G arrow S^1 and denote the Haar probability measure on G by . In general, if S is a compact open subset of a locally compact abelian group then _S den...
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Introduction The discovery of a significant quasi-periodic oscillation in the X-ray light curve of a Narrow Line Seyfert 1 AGN RE J1034+396 (Gierli\'nski et al. 2008) strengthens arguments stressing the similarities in the physics of the accretion flow between supermassive and stellar mass black holes. Previous eviden...
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The first stars Population III (Pop III) stars occupy a key position in the history of the Universe, as a link between the pure H-He Universe at the beginning of times, and the metal-rich one we observe nowadays around us. Their evolution is important, because during their life they form the first heavy elements, but ...
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INTRODUCTION B meson decays to final states containing an axial-vector meson and a pseudoscalar meson have been recently studied both experimentally and theoretically. Branching fractions of the B mesons decays to final states containing an a_1(1260) or b_1 meson associated with a pion or a kaon have been measured...
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Introduction In 1999 the first transiting extrasolar planet was discovered (). As the knowledge of transit parameters allows an unique insight into the nature of the planet, many efforts have been made to increase the number of known transiting planets. Until now about 50 transiting extrasolar planets are discovered. ...
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Introduction The ^2 P_3/2arrow^2 P_1/2 fine-structure line of C ^+ , [C \,ii], is believed to be a cooling pathway for the diffuse gas in galaxies . This transition traces photo-dissociation regions (PDRs), where the ultra-violet radiation from young stars dominates the heating of the gas. From this process, the ...
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Introduction In , Kaye and Wong proved the following result, which they considered to belong to the folklore of mathematical logic. The first-order theories of Peano arithmetic and Zermelo-Fraenkel set theory with the axiom of infinity negated are bi-interpretable: that is, they are mutually interpretable with interpr...
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Introduction According to the current paradigm of structure formation, galaxies form and reside inside extended cold dark haloes. While the formation and evolution of dark matter haloes in the cosmic density field is mainly determined by gravitational processes, the formation and evolution of galaxies involves much mo...
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Introduction The regulation of the activity of a particular gene involves a complex interplay between a promoter, an RNA polymerase (RNAP), and one or several transcription factors (TF) . Ignoring the internal dynamics associated with transcription initiation, the probability for obtaining a successful RNAP elongation...
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Introduction Young stellar clusters are important tools for investigating the structure, the chemical enrichment, and the current star formation of a galaxy. Furthermore, they are natural laboratories to study the evolution of massive stars. Massive stars explode as supernovae creating neutron stars and black-holes, ...
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Introduction The colour dipole model has proven to be very successful in describing a wide variety of small- x inclusive and diffractive processes at HERA. This talk is based on work done on this subject in collaboration with H. Kowalski and L. Motyka . The amplitude for an exclusive diffractive process, ^* p E+p , s...
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Introduction If S is a properly embedded surface in a compact 3-manifold M , let M \,\, S denote the manifold which is obtained by cutting along S ; it is homeomorphic to the complement in M of an open regular neighborhood of S . The topological theme of this paper is that the bounded manifold obtained by cutting a ...
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Introduction The formation and evolution of our Galaxy remains one of the great unanswered questions in modern astronomy. suggested formation via the monolithic collapse of a gaseous protocloud on a timescale of 10 ^8 years. challenged this notion by proposing that the halo formed through the accretion of indep...
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Introduction Over the last few years it became increasingly clear that low energy experiments can provide a powerful tool to explore hidden sectors of particles which interact only very weakly with the ordinary standard model particles. Such hidden sectors appear in many extensions of the standard model. In fact, it m...
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Introduction In recent years, studies of transport phenomena in nonlinear systems have been attracting a growing interest. In particular, a large and constantly growing number of papers are devoted to dynamics in systems which allow for directed [on average] motion under unbiased external forces and are referred to as...
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Appendix 11.715cm #1 tocsectionAppendix \ \ \ #1 .equation footnote equation0 \,-\!\!\!\!\!\!\, signsign q q 1 21 2 i.e. i.e. y^(1)y^(1) y^(2)y^(2) sl(2)sl(2) su(2)su(2) (p)/(2)(p)/(2) psupsu (I) (I) karrow E^ Bethe E^ Bethe (-1)^F_i(-1)^F_i #1#2#3#4#5 #4#5 #4#1 4< - - -#3 -#3 #2 - to4 - ...
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Introduction The presence of vacuum fluctuations is a remarkable property of quantum field theory. In quantum electrodynamics these fluctuations are responsible of many observable effects such as Casimir and Casimir-Polder forces . They are long-range electromagnetic interactions between neutral objects such as atoms/...
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Introduction The recent synthesis of single or few layers of graphite has permitted to test the singular transport properties predicted in early theoretical studies and experiments. The discovery of a substantial field effect and the expectations of ferromagnetic behavior has risen great expectations to use graphene a...
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Introduction Physical symmetry is more often a guiding principle then a specific property of a system. For example, for the Lagrangian of a specific system, all well established physical symmetries must be present, or else the resulting dynamical solutions are simply wrong. Although in some cases they may not be o...
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Preliminary notation and a combinatorial lemma This section consists of preliminary notation and a lemma describing a criterion for a Schubert variety to admit semistable points. Let G be a semi-simple algebraic group over an algebraically closed field k . Let T be a maximal torus of G , B a Borel subgroup of G co...
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Introduction. lrintro.tex Definitions and background. lrsection1.tex A subshift is LR if and only if it is a primitive S -adic subshift. lrsection2.tex LR subshifts are uniquely ergodic. lrsection3.tex Factors of LR subshifts. lrsection4.tex Cantor factors of substitution subshifts. lrsection5.tex lr...
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Introduction The mechanism by which a single vacancy diffuses in mono-atomic crystalline material is basically through site exchange with one of its nearest-neighbor atoms. The vacancy diffusion continues through the material successively in a random way such that each new site occupied is usually energetically identi...
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Introduction A knot is an embedding of the circle into three dimensional space. More generally, a link is an embedding of one or more circles into three dimensional space. A link is said to be oriented if one of the two possible orientations is chosen for each circle. Examples are shown in figure . Two links are equi...
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Introduction Bifurcation diagrams are often used for the analysis of deterministic models of chemical systems. In recent years, they have also been applied to models of biological (biochemical) systems. For example, the cell-cycle model of Tyson et al. is a system of ordinary differential equations (ODEs) which desc...
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Introduction In this paper we prove a subelliptic estimate for sums of squares of complex vector fields. Namely, given a distribution Z(M) of complex vector fields on an m dimensional real smooth manifold M , we find conditions for the subellipticity of Z(M) , i.e. the validity of the estimate where U is a relati...
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Introduction Understanding the existence and the dynamics of the magnetic field of the Earth, of the Sun and, in general, of other celestial bodies remains one of the most challenging problems of classical physics. Astronomical and geophysical observations have provided many insights into these phenomena . Laboratory ...
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Introduction A number of transport measurements on organic and inorganic molecules bridged bewteen metallic leads have recently succeeded in revealing signatures of the molecular vibrational and motional degrees of freedom in the inelastic tunneling spectrum, and raised interesting theoretical issues. Most notably,...
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Introduction Background Let be a graph on n vertices, with vertex set X and adjacency relation denoted by -- . Let A_ denote the right-angled Artin group of , defined by A_:= X |R_ where the relations are R_=\[x,y]| x,y X and xy \ . As we vary , the group A_ interpolates between the free group F_n (if is edgeless) ...
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Introduction Motivation Dynamic random graph models, in which new vertices prefer to be attached to vertices with higher degree in the existing graph, have proved to be immensely popular in the scientific literature recently. The two main reasons for this popularity are, on the one hand, that these models can be easi...
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Methods Dephasing of Spin Wave Induced by Atomic Random Motion. Assume the j -th atom moves to r_j( t)=r_j+ v_j t after a storage time of t . The collective state or spin wave (SW) freely evolves to where we have neglected the effect of magnetic field for simplicity. The retrieval efficiency is given by the overlap ...
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Introduction At decimetric wavelenghts the sky brightness temperature ( T_sky ) can be written as the sum of different contributions: cosmic microwave background ( T_cmb ), galactic emission ( T_gal ), unresolved extragalactic radio sources ( T_uers ). The temperature of the cosmic microwave background (CMB), T_cmb ...
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Introduction In curved spacetime, a scalar field may generally couple to the scalar curvature so that the potential of has an additional term R ^2/2 . =1/6 corresponds to the conformal coupling: a massless scalar field is conformally invariant. Even if the scalar field is minimally coupled with the curvature at tree l...
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Introduction With more than 3.5fb^-1 of data recorded per Tevatron experiment to date (Summer 2008), top quark physics has entered an era of precision measurements. The latest combination of top quark mass measurements from the CDF and D collaborations shows a relative uncertainty of only 0.8\% , and multivariate anal...
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Introduction and Model Definition Nonequilibrium stationary states (NESS), in which probability currents are supported and invariant measures are not generally of Gibbs-Boltzmann form, offer many surprising phenomena not seen in equilibrium systems. Examples include boundary-induced phase transitions and spontaneous s...
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INTRODUCTION AND OVERVIEW When fluid systems are confined in nanoscopic pores or channels, one expects that the phase behavior can be profoundly modified . Such effects have found an increasing attention recently, for instance because of the current interest to fabricate devices of nanoscopic size and to manipulate ch...
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Introduction We study here the dynamics of Friedmann-Robertson-Walker (FRW) universes in f(R) theories of gravity. These theories are derived from generalisations of the usual Einstein-Hilbert Lagrangian of General Relativity (GR), such that and have been considered extensively in the literature (see e.g. ). Specifi...
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Introduction Positive definite matrices have become fundamental computational objects in many areas of engineering and applied mathematics. They appear as covariance matrices in statistics, as elements of the search space in convex and semidefinite programming, as kernels in machine learning, and as diffusion tens...
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Introduction With the advent of precision measurements in Kaon physics (see and references therein), K_ 3 decays offer the opportunity to probe charged current weak interactions at unprecedented levels. Most notably, with current experimental uncertainties, K_ 3 decays allow one to access the Cabibbo-Kobayashi-...
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Introduction Noise induced transport occurs in a broad variety of systems both in physics and biology . In a microscopic system embedded in a thermal environment, directed transport generally requires two ingredients: (i) External sources driving the system out of equilibrium and (ii) broken spatial symmetry . The mai...
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Introduction Analogue models for gravity have provided a powerful tool for testing (at least in principle) kinematical features of classical and quantum field theories in curved spacetimes . The typical setting is the one of sound waves propagating in a perfect fluid . Under certain conditions, their equation can be p...
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Introduction Plasma turbulence presents a challenge to multiscale models of transport in applications such as magnetic fusion confinement, stellar accretion disks and galactic dynamos. Simulations of turbulent transport involve nonlinear interactions at disparate scales, which often makes numerical computations exp...
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Introduction Sudakov resummations are established in perturbative QCD for all logarithmic contributions, to leading power in the total momentum fraction carried by soft gluons. To illustrate this fact, consider as an example threshold resummation for the Drell-Yan process, or for a similar electroweak annihilation ...
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Introduction Let S be the cubic surface defined by Then S is a singular del Pezzo surface with a unique singularity (0:0:0:1) of type D_5 and three lines, each of which is defined over . Let U be the Zariski open subset formed by deleting the lines from S . Our principal object of study in this paper is the card...
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Introduction Direct methanol fuel cells (DMFC) are considered a promising means for energy conversion in "hydrogen-based economy" because they work at low temperatures ( 350-400 K) and use liquid methanol as fuel, which is easy to deliver and store. In DMFC, the same anode is used as a catalyst for both methanol refor...
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Introduction The aim of the talk is the microscopic description of infrared properties of QCD like confinement. We would like to see, for example, the emergence of the colour flux string between static colour charges. For this purpose, I will use the Hamiltonian approach to Yang-Mills theory in Coulomb gauge. The orga...
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Introduction Observational and numerical studies suggest that dynamical interactions are frequent occurrences in clusters of galaxies and that these events are the most energetic in the recent history of the Universe. Matter is believed to stream along preferred axes (so-called filaments and sheets) often acceleratin...
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Introduction Recently, there has been rapidly growing interest in designing artificial surfaces with extreme hydrophobic properties. These efforts have been inspired in particular by biological superhydrophobic surfaces such as plant leaves or insect wings . These surfaces have a hydrophobic coating and they ty...
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Introduction We will be interested in finite simplicial complexes. Such a complex is called flag if every set of vertices which are pairwise joined by edges in is a face of . For instance, every order complex (meaning the simplicial complex of all chains in a finite partially ordered set) is a flag complex. Accord...
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Introduction An interesting development seems to take place in cosmology during the last few years. The evidence continues to mount that the expansion of the universe is accelerating rather than slowing down. Several astrophysical groups (Tonry et al. 2003 ; Barris et al. 2004 ; Riess et al. 2004 ) have recently updat...
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Introduction Collisions between heavy nuclei are used to probe the properties of nuclear matter at high temperature and density. Lattice QCD calculations indicate that if nuclear matter is heated above a critical temperature T_c 185 MeV, quark and gluon degrees of freedom will be liberated and a deconfined ...
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Asymptotic freedom in QCD We begin with a short portrait of quantum chromodynamics, the unbroken, nonabelian gauge theory SU(3). The classical Lagrange density of QCD can be represented schematically by L_QCD = _q q\, ( i/-g/A +m_q\, )q - 1 4\, G_,a[A]\, G^_a[A]\, , where q labels quark fields, of mass m_q , and...
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Introduction In theoretical physics, many derivations of decoherence models begin with an analysis of the effect on a test particle of a scattering with a single particle from a background gas . A regime that the theorists have studied and which has generated interest in experimental physics is when the test particle...
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Introduction Let (N,J,h) be a 2n -dimensional compact almost Hermitian manifold with an almost complex structure J and a Hermitian metric h . Consider the initial value problem for a third order dispersive flow of the form where u is an unknown mapping of R to N , (t,x) , T=R/Z , u_t=du(/t) , u_x=du(/x) ...
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Introduction. Let D denote the unit disk in the complex plane and T the unit circle. Let M be the Banach space of all complex-valued Borel measures on T with the usual variation norm. For 0 , let F_ denote the family of the analytic functions g , for which there exists M such that g(z)= _T1(1- z)^ 1pt 1pt 1pt 1pt...
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Introduction The last two decades have seen a surge of interest in the behavior of concentrated colloidal suspensions. These systems have long attracted attention because of their evident practical importance. However, developments since the 1980s have shown that well-characterized colloidal suspensions, in which the ...
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Acknowledgements We thank all members of the FlaviaNet Kaon Working Group (http://www.lnf.infn.it/wg/vus) for comments, discussion, and suggestions. This work is supported in part by EU Contract MTRN-CT-2006-035482 (FlaviaNet).
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Introduction The majority of protocols for quantum communication relies on photons , because of their weak interaction with the environment and of the well-developed optical fiber technology. However, it is not always convenient to use photons to exchange information. In fact, when dealing with quantum processors, i...
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introduction Diamond has a number of unique attributes that make it highly suited as a gem stone. It is the hardest known material which can only be scratched by another diamond. The thermal conductivity of diamond is the highest among all materials . Irradiation of diamond by various particles (e.g. electrons, neutro...
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Introduction and notation We shall prove the following theorem which is a slight strengthening of . Suppose that G is an abelian group and A G is a finite set with \|1_A 1_A\|_^2(G)^2 c|A|^3 . Then there is a set L A with |L| =O(c^-1 |A|) such thatRecall that (L) is the set of all sums _x L_x.x where \-1,0,1\^L . |A ...
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Introduction The impending start of operation of the Large Hadron Collider (LHC) makes this a very exciting time for supersymmetric (SUSY) phenomenology. Numerous groups have been pursuing a programme to fit simple SUSY models and identify the regions in the parameter space that might be of interest with the forthcomi...
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Introduction Pulsars are highly magnetized, rotating neutron stars which emit beams of radio emission at a low height above the star's magnetic poles. The emission is confined to the open field lines and the beam only sweeps out a small fraction of the celestial sphere. For this reason we see emission from only one po...
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Introduction A partition is a nonincreasing sequence of positive integers (parts) _1_2_3_>0 . The norm of , denoted || , is defined as If ||=n , we say that is a partition of n . The (Young) diagram of is a convenient way to represent graphically: the parts of are shown as rows of unit squares (cells). Given the...
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Introduction Recently, the report of room temperature colossal magnetoresistance (CMR) in the ordered double-perovskite, Sr _2 FeMoO _6 has attracted enormous research interest. The high degree of spin polarization in Sr _2 FeMoO _6 and other magneto resistive materials is believed to be due to the half-metallic natu...
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Introduction Bekenstein has conjectured that the entropy S and energy E of any thermodynamic system must obey S 2 E R \,, where R is defined as the circumferential radius. This bound is universal in the sense that it is supposed to hold in any matter system. The Bekenstein bound has been confirmed in wide classes of...
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Introduction Quantum information theory for the most part assumes that the senders, receivers and eavesdroppers involved in a protocol share an inertial frame. For many of the applications envisioned in the field this is a good approximation and sometimes, as in the case of quantum key distribution, even a rigorous...
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Introduction Models of population dynamics have been the subject of much study in biology. The essay of first suggested exponential growth. The idea of quantitative limits on growth is usually attributed to , who pioneered the use of the logistic equation (LE), and to and , who considered models of predators and prey....
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Introduction Low dimensional systems based on magnetic material have attracted considerable attention lately in a number of subjects such as condensed matter physics, material science and inorganic chemistry. In these particular areas quantum ferrimagnetic chains (QFC) were discussed, due to that they exhibit a releva...
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Systolic inequalities and LS category A quarter century ago, M. Gromov initiated the modern period in systolic geometry by proving a curvature-free 1 -systolic lower bound for the total volume of an essential Riemannian manifold M of dimension d , i.e. a d -fold product of the systole is such a lower bound. Here the ...
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Acknowledgments The work of M.P. is supported in part by NSF grants PHY-0245068 and PHY-0758032, and that of M.K. by NSF CAREER grant PHY-0645435. M.P. and M.K. would like to thank the Scuola Normale Superiore and the Galileo Galilei Institute in Florence for their kind hospitality and support. G.G. is indebted to t...
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Introduction Superconductivity (SC) in the organic charge-transfer solids (CTS) is proximate to a number of spatial broken symmetry states, including antiferromagnetism (AFM), the spin-Peierls (SP) state and charge-ordering (CO). There are two goals of our presentation. First, we show from exact diagonalization that S...
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Introduction Let (U_t) be a one-dimensional time-homogeneous diffusion process satisfying the stochastic differential equation dU_t = (U_t) dt + (U_t) dW_t, U_0 = u_0, where (W_t) denotes a Brownian motion. The aim of this note is to bound, from above and below, the transition probability density function for (U_t...
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Introduction Since the discovery of the accelerating expansion of the universe , a lot of work has been done on constraining the behavior of dark energy. In contrast to simple parametric forms for dark energy equation of state (EOS), such as w(z) = w_0+w'z and w(z)=w_0+w_az/(1+z) , a nearly model-independent approach...
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Introduction Mechanical resonators (MRs) are currently attracting considerable interest because of their potential applications to high-precision displacement detection, mass detection, and quantum measurement. Recent technical advances allow the fabrication of a MR with both a high quality factor ( Q -factor) and a s...
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Master Equation and Langevin Equations The master equation for a superconducting single electron transistor biased at the Josephson quasiparticle resonance and capacitively coupled to a resonator , consists of a coherent part, described by the Hamiltonian, H_ co , together with two dissipative terms L_leads and L_d...
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Introduction The continuous double auction mechanism is adopted in the electronic trading systems in many stock markets worldwide. In particular, most emerging stock markets are order-driven markets. In a pure order-driven market, there are no market makers or specialists, and market participants submit and cancel ord...
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Introduction The shape of the Z boson momentum distribution transverse to the beam direction ( Q_T ) at a hadron collider tests the predictions of quantum chromo dynamics (QCD), since non-zero Q_T \ is generated through radiation from the initial state partons. A good understanding of electroweak vector boson p...
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Introduction The strong laws of large numbers (SLLNs) play a fundamental role in statistics. They assert the convergence of empirical averages to true expectations, and, under appropriate assumptions, ensure that inferences about persistent world phenomena become increasingly more valid as data accumulates. The variou...
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Introduction A monoidal model category is a closed symmetric monoidal category which admits a Quillen model category structure compatible in a certain sense with the monoidal product ,. The majority of the natural occurring examples of model categories are monoidal model categories. In , the authors gave a sufficient ...
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Introduction This is a very exciting time for cosmology with the overwhelming amount of new observational data that theorists try to explain. One of the biggest puzzles that the theoretical community faces is to explain the recent speed up in the universe rate of expansion discovered first through observations from di...
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Introduction A reliable method of measuring the physical distance to astrophysical objects has always been sought after in observational astronomy [ e.g.,][]Bessel1839. In the era of ``precision cosmology'', the need for accurate physical distance measurements has been amplified [ e.g.,][]Spergel03, Riess04, Tegmark04...
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Introduction Since the seminal work of 't Hooft it has been hoped that a general gauge theory can be reinterpreted as a string theory with the string coupling g_s proportional to the inverse of the rank of the gauge group. For instance, in the case of SU(N) , g_s 1/N . When the gauge theory has a large amount of su...
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Introduction Out of the rich variety of phenomena in nature the most interesting occur in nonequilibrium conditions and their complex behaviour is far from being well understood. The study of nonequilibrium phenomena is of current interest and the way to describe the general characteristics of a system out of equilibr...
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Acknowledgments Thanks to Crina Vasiliu for proofreading and commenting on an earlier draft of this paper. This work has been supported by the Natural Sciences and Engineering Research Council of Canada (NSERC), the Consortium for Software Engineering (CSER), and the Centre for Advanced Studies (CAS), IBM Canada Ltd.
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Introduction The field of cosmology has made impressive developments in the past decade. It is now widely accepted that the present universe is well represented by a dark energy dominated universe with dark matter being in the form of a cold component and matter fluctuations arising from primordial adiabatic Gauss...
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Introduction Young massive star clusters, which often surpass the globular clusters in the Galaxy in terms of brightness, mass, and density, are seen to result from intense episodes of star-formation in galaxies. However, star clusters are also found in relatively quiescent, low star-formation rate (SFR) galaxies, alb...
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Introduction The equality of the inertial and gravitational masses is being doubted all the time. And the equality of masses remains as puzzling as ever. However, the existing theories do not explain why the gravitational mass has to equal the inertial mass, and then do not offer compelling reason for this empirical f...
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introduction The penetration of magnetic flux into nonellipsoidal superconducting samples is complex. The initial entry of magnetic flux in the form of multiply quantized flux tubes in type-I superconductors or singly quantized vortices in type-II superconductors is impeded both by a barrier of geometric origin and by...
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Introduction Gauge theory, needless to say, has a long and rich history, and it is probably not an exaggeration to state it has by now permeated all areas of theoretical physics, as an essential tool for existing frameworks and guide for future developments. It describes systems which possess some inherent symmetry ...
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