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i review a class of exact string backgrounds, which appear in hierarchies, where the boundary of the target space of an exact sigma model is itself the target space of another exact model. from the worldsheet viewpoint this is due to the existence of ( 1, 1 ) operators based on parafermions. from the target space side,...
arxiv:hep-th/0612243
many clustering algorithms are guided by certain cost functions such as the widely - used $ k $ - means cost. these algorithms divide data points into clusters with often complicated boundaries, creating difficulties in explaining the clustering decision. in a recent work, dasgupta, frost, moshkovitz, and rashtchian ( ...
arxiv:2106.15566
let $ t $ be a torus acting on $ \ cc ^ n $ in such a way that, for all $ 1 \ leq k \ leq n $, the induced action on the grassmannian $ g ( k, n ) $ has only isolated fixed points. this paper proposes a natural, elementary, explicit description of the corresponding $ t $ - equivariant schubert calculus. in a suitable n...
arxiv:math/0703445
the laplace - beltrami operator ( lbo ) is a fundamental object associated to riemannian manifolds, which encodes all intrinsic geometry of the manifolds and has many desirable properties. recently, we proposed a novel numerical method, point integral method ( pim ), to discretize the laplace - beltrami operator on poi...
arxiv:1403.2141
we present results from a 20 ksec xmm observation of mrk 231. epic data reveal strong line emission due to fe ka, which has rarely been detected in this class. the line energy is consistent with an origin in neutral fe and the width equivalent to a velocity dispersion ~ 18, 000 km / s, thus the line may be attributed t...
arxiv:astro-ph/0308030
we construct all skew braces of size $ pq $ ( where $ p > q $ are primes ) by using byott ' s classification of hopf - - galois extensions of the same degree. for $ p \ not \ equiv 1 \ pmod { q } $ there exists only one skew brace which is the trivial one. when $ p \ equiv 1 \ pmod { q } $, we have $ 2q + 2 $ skew brac...
arxiv:1908.03228
in this paper, we study the restoration of gauge symmetry and up to half the supersymmetry ( n = ( 2, 0 ) or n = ( 1, 1 ) in two dimensions ) for n = 2 non - abelian chern - simons theories in the presence of a boundary. we describe the boundary action which is a supersymmetric wzw model coupled to the bulk chern - sim...
arxiv:1601.05429
we propose a general framework called network dissection for quantifying the interpretability of latent representations of cnns by evaluating the alignment between individual hidden units and a set of semantic concepts. given any cnn model, the proposed method draws on a broad data set of visual concepts to score the s...
arxiv:1704.05796
generating novel and creative scientific hypotheses is a cornerstone in achieving artificial general intelligence. large language and reasoning models have the potential to aid in the systematic creation, selection, and validation of scientifically informed hypotheses. however, current foundation models often struggle ...
arxiv:2504.12976
in this paper we prove some generalizations of the classical hasse - davenport product relation for certain arithmetic factors defined on p - adic fields, among them one finds the epsilon - factors appearing in tate ' s thesis. we then show that these generalizations are equivalent to some representation theoretic iden...
arxiv:2306.10928
in this chapter, by using ab - initio molecular dynamics, we introduce the latest simulation results on two materials for flash memory devices : ge2sb2te5 and ge - se - cu - ag. this chapter is a review of our previous work including some of our published figures and text in cai et al. ( 2010 ) and prasai & drabold ( 2...
arxiv:1103.6051
operating hades at the future fair sis - 100 accelerator challenges the rate capability of daq and electronics. a new, more robust version of front - end electronics needs to be built for the hades drift chamber system. due to the unavailability of the previously used asd - 8 analog read - out asic, pasttrec ( panda st...
arxiv:1810.12695
to conduct a more realistic evaluation on virtualized network functions resource allocation algorithms, researches needed data on : ( 1 ) potential nfs chains ( policies ), ( 2 ) traffic flows passing through these nfs chains, ( 3 ) how the dynamic traffic changes affect the nfs ( scale out / in ) and ( 4 ) different d...
arxiv:1702.00369
given a permutation $ \ pi \ in \ sn \ _ n $, construct a graph $ g \ _ \ pi $ on the vertex set $ \ { 1, 2,..., n \ } $ by joining $ i $ to $ j $ if ( i ) $ i < j $ and $ \ pi ( i ) < \ pi ( j ) $ and ( ii ) there is no $ k $ such that $ i < k < j $ and $ \ pi ( i ) < \ pi ( k ) < \ pi ( j ) $. we say that $ \ pi $ is...
arxiv:math/0603617
it is shown that all the countable superatomic boolean algebras of finite rank have the small index property.
arxiv:2206.07017
we perform a molecular ( co and cn ) line observation using iram 30m telescope toward two small regions near the western edge of supernova remnant ( snr ) w50 / ss433. co observation reveals spatial correspondence of two molecular clumps at the local - standard - of - rest ( lsr ) velocity around + 53 km s $ ^ { - 1 } ...
arxiv:2002.09829
the relatively hot temperature of the human body causes people to turn into long - wave infrared light sources. since this emitted light has a larger wavelength than visible light, many surfaces in typical scenes act as infrared mirrors with strong specular reflections. we exploit the thermal reflections of a person on...
arxiv:2305.01652
medical studies for chronic disease are often interested in the relation between longitudinal risk factor profiles and individuals ' later life disease outcomes. these profiles may typically be subject to intermediate structural changes due to treatment or environmental influences. analysis of such studies may be handl...
arxiv:1912.06398
experimental observation of highly reduced thermal conductivity in surface - roughness dominated silicon nanowires have generated renewed interest in low - dimensional thermoelectric devices. using a previous work where the scattering of phonons from a rough surface is mapped to scattering from randomly situated locali...
arxiv:1906.06739
the morphology of the stagnated plasma resulting from magnetized liner inertial fusion ( maglif ) is measured by imaging the self - emission x - rays coming from the multi - kev plasma. equivalent diagnostic response can be generated by integrated radiation - magnetohydrodynamic ( rad - mhd ) simulations from programs ...
arxiv:2005.01600
in this study, a multiple - comparison approach is developed for detecting faint hyperspectral sources. the detection method relies on a sparse and non - negative representation on a highly coherent dictionary to track a spatially varying source. a robust control of the detection errors is ensured by learning the test ...
arxiv:1702.00609
learned optimizers - - neural networks that are trained to act as optimizers - - have the potential to dramatically accelerate training of machine learning models. however, even when meta - trained across thousands of tasks at huge computational expense, blackbox learned optimizers often struggle with stability and gen...
arxiv:2209.11208
in this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent lie groups. the obtained inequalities include hardy, rellich, hardy - littllewood - sobolev, galiardo - nirenberg, caffarelli - kohn - nirenberg and trudinger - moser inequalit...
arxiv:1805.01064
this expository article proves some results of ferguson, on the approximation of continuous functions on a compact subset of r by polynomials with integral coefficients.
arxiv:math/0103004
we extend the applications of prescriptive unitarity beyond the planar limit to provide local, polylogarithmic, integrand - level representations of six - particle mhv scattering amplitudes in both maximally supersymmetric yang - mills theory and gravity. the integrand basis we construct is diagonalized on a spanning s...
arxiv:1909.09131
we have studied the spin - splitting effect in a four - terminal two - dimensional ( 2d ) electron gas system with two potential barriers generated by two surface metal gates and an external perpendicular magnetic field. the calculations show that by tuning the voltage applied on the gates, the injected spin - unpolari...
arxiv:1812.02065
we tested the ho \ u { r } ava lifshitz ( hl ) quantum gravity model by using the l { \ " u }, mei and pope solutions for primordial black holes ( pbhs ) and the observational upper bounds of the pbh density parameters. we found that, although the hl model is severely constrained, it is not ruled out. when our analysis...
arxiv:1009.1703
in this paper we develop an optimisation based approach to multivariate chebyshev approximation on a finite grid. we consider two models : multivariate polynomial approximation and multivariate generalised rational approximation. in the second case the approximations are ratios of linear forms and the basis functions a...
arxiv:2101.11786
we provide the expected constructions of weakly $ \ omega $ - categorified models ( in the sense of bressie ) of the theory of groups and quandles which arise by replacing the homotopies used to give equivalence relations in the theory of fundamental groups, fundamental quandles, and knot quandles with homotopies of al...
arxiv:2006.15188
one of the most important task of the gamma - ray burst field is the classification of the bursts. many researches have proven the existence of the third kind ( intermediate duration ) of grbs in the batse data. recent works have analyzed bepposax and swift observations and can also identify three types of grbs in the ...
arxiv:1504.06427
this paper addresses a challenging problem - - how to generate multi - view cloth images from only a single view input. to generate realistic - looking images with different views from the input, we propose a new image generation model termed varigans that combines the strengths of the variational inference and the gen...
arxiv:1704.04886
a theory of massive gravity depends on a non - dynamical ' reference metric ' f _ { \ mu \ nu } which is often taken to be the flat minkowski metric. in this paper we examine the theory of perturbations on a background with metric g _ { \ mu \ nu } which does not coincide with the reference metric f _ { \ mu \ nu }. we...
arxiv:1309.2245
we report on the identification of a soft gamma - ray source, igr j17204 - 3554, detected with the ibis imager on board the integral satellite. the source has a 20 - 100 kev flux of ~ 3x10 ^ - 11 erg cm ^ - 2 s ^ - 1 and is spatially coincident with ngc 6334, a molecular cloud located in the sagittarius arm of the milk...
arxiv:astro-ph/0510338
minimax optimization problems have attracted a lot of attention over the past few years, with applications ranging from economics to machine learning. while advanced optimization methods exist for such problems, characterizing their dynamics in stochastic scenarios remains notably challenging. in this paper, we pioneer...
arxiv:2402.12508
named entity recognition ( ner ) is a well and widely studied task in natural language processing. recently, the nested ner has attracted more attention since its practicality and difficulty. existing works for nested ner ignore the recognition order and boundary position relation of nested entities. to address these i...
arxiv:2305.07266
hermitian linear matrix pencils are ubiquitous in control theory, operator systems, semidefinite optimization, and real algebraic geometry. this survey reviews the fundamental features of the matricial solution set of a linear matrix inequality, the free spectrahedron, from the perspective of free real algebraic geomet...
arxiv:2407.08450
exploring the climate impacts of various anthropogenic emissions scenarios is key to making informed decisions for climate change mitigation and adaptation. state - of - the - art earth system models can provide detailed insight into these impacts, but have a large associated computational cost on a per - scenario basi...
arxiv:2212.03369
imaging is the representation or reproduction of an object ' s form ; especially a visual representation ( i. e., the formation of an image ). imaging technology is the application of materials and methods to create, preserve, or duplicate images. imaging science is a multidisciplinary field concerned with the generati...
https://en.wikipedia.org/wiki/Imaging
range separated hybrid density functionals are very successful in describing a wide range of molecular and solid state properties accurately. range separated hybrid functionals are designed from spherically averaged or system averaged reversed engineered exchange hole. in the present attempt, we employ screened range s...
arxiv:1712.05323
detection of cyber attacks in smart power distribution grids with unbalanced configurations poses challenges due to the inherent nonlinear nature of these uncertain and stochastic systems. it originates from the intermittent characteristics of the distributed energy resources ( ders ) generation and load variations. mo...
arxiv:2404.02923
charge balance functions, which identify balancing particle - antiparticle pairs on a statistical basis, have been shown to be sensitive to whether hadronization is delayed by several fm / c in relativistic heavy ion collisions. results from two classes of models are presented here, microscopic hadronic models and ther...
arxiv:nucl-th/0401008
are likely to be new exotic states. more experimental data is needed to confirm the existence of these resonance states.
arxiv:2502.11818
the census of stellar streams and dwarf galaxies in the milky way provides direct constraints on galaxy formation models and the nature of dark matter. the desi milky way survey ( with a footprint of 14, 000 $ ~ deg { ^ 2 } $ and a depth of $ r < 19 $ mag ) delivers the largest sample of distant metal - poor stars comp...
arxiv:2504.11687
dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. in the previous rapid communication [ phys. rev. e 90, 030901 ( r ) ( 2014 ) ], it was shown how such systems can be designed using delayed feedbacks. here, the proposed method is further analyzed and improve...
arxiv:1611.01036
the recent surge in large language models ( llms ) has garnered significant attention across numerous fields. fine - tuning is often required to fit general llms for a specific domain, like the web - based healthcare system. however, two problems arise during fine - tuning llms for medical applications. one is the task...
arxiv:2310.18339
the size and the computational load of fine - tuning large - scale pre - trained neural network are becoming two major obstacles in adopting machine learning in many applications. continual learning ( cl ) can serve as a remedy through enabling knowledge - transfer across sequentially arriving tasks which relaxes the n...
arxiv:2303.14423
we characterize the magnetic activity of m dwarfs to provide the planet community with information on the energy input from the star ; in particular, in addition to the frequency of optical flares directly observed with tess, we aim at estimating the corresponding x - ray flare frequencies, making use of the small pool...
arxiv:2207.03794
ordinal ω3 as efa and is conservative over efa for π02 sentences. weak weak konig ' s lemma is the statement that a subtree of the infinite binary tree having no infinite paths has an asymptotically vanishing proportion of the leaves at length n ( with a uniform estimate as to how many leaves of length n exist ). an eq...
https://en.wikipedia.org/wiki/Reverse_mathematics
autonomous driving techniques have been flourishing in recent years while thirsting for huge amounts of high - quality data. however, it is difficult for real - world datasets to keep up with the pace of changing requirements due to their expensive and time - consuming experimental and labeling costs. therefore, more a...
arxiv:2304.12205
this paper explores educational interactions involving humans and artificial intelligences not as sequences of prompts and responses, but as a social process of conversation and exploration. in this conception, learners continually converse with ai language models within a dynamic computational medium of internet tools...
arxiv:2306.10063
we describe a family of decidable propositional dynamic logics, where atomic modalities satisfy some extra conditions ( for example, given by axioms of the logics k5, s5, or k45 for different atomic modalities ). it follows from recent results ( kikot, shapirovsky, zolin, 2014 ; 2020 ) that if a modal logic $ l $ admit...
arxiv:2303.09948
into seven colleges. georgia tech has sought to expand its undergraduate and graduate offerings in less technical fields, primarily those under the ivan allen college of liberal arts, which saw a 20 % increase in admissions in 2008. also, even in the ivan allen college, the institute does not offer bachelor of arts and...
https://en.wikipedia.org/wiki/Georgia_Tech
an su ( 2 ) vectorlike singlet quark with a charge either + 2 / 3 ( t ' ) or - 1 / 3 ( b ' ) is predicted in many extensions of the standard model. the mixing of these quarks with the top or bottom lead to flavor changing yukawa interactions and neutral current. the decay modes of the heavier mass eigenstates are there...
arxiv:1404.3374
many important datasets contain samples that are missing one or more feature values. maintaining the interpretability of machine learning models in the presence of such missing data is challenging. singly or multiply imputing missing values complicates the model ' s mapping from features to labels. on the other hand, r...
arxiv:2412.02646
the excessive application of pesticides, particularly the overreliance on insecticides for the protection of desirable crops from pests, has posed a significant threat to both ecological systems and human health due to environmental pollution. this research outlines a comprehensive approach to recognizing and quantifyi...
arxiv:2502.00813
the operation of a novel nonvolatile memory device based on a conductive ferroelectric / non - ferroelectric thin film multilayer stack is simulated numerically. the simulation involves the self - consistent steady state solution of poisson ' s equation and the transport equation for electrons assuming a drift - diffus...
arxiv:cond-mat/0312609
el ni \ ~ no - southern oscillation ( enso ) is the most predominant interannual variability in the tropics, significantly impacting global weather and climate. in this paper, a framework of low - order conceptual models for the enso is systematically derived from a spatially - extended stochastic dynamical system with...
arxiv:2212.14179
a concern about cutting - edge or " frontier " ai foundation models is that an adversary may use the models for preparing chemical, biological, radiological, nuclear, ( cbrn ), cyber, or other attacks. at least two methods can identify foundation models with potential dual - use capability ; each has advantages and dis...
arxiv:2405.10986
we present our findings of a large - scale screening for new synthesizable materials in five m - sn binaries, m = na, ca, cu, pd, and ag. the focus on these systems was motivated by the known richness of m - sn properties with potential applications in energy storage, electronics packaging, and superconductivity. for t...
arxiv:2306.10223
in dynamic epistemic logic ( van ditmarsch, van der hoek, & kooi, 2008 ) it is customary to use an action frame ( baltag & moss, 2004 ; baltag, moss, & solecki, 1998 ) to describe different views of a single action. in this article, action frames are extended to add or remove agents, we call these agent - update frames...
arxiv:2211.02452
we report the novel critical behavior of magnetization in low carrier concentration systems utes and uses that exhibit the large negative magnetoresistance around the ferromagnetic transition temperatures t _ c ~ 85 and 23 k, respectively. utes and uses crystallize in the same orthorhombic tinisi - type crystal structu...
arxiv:1908.07652
the purpose of this article is to view the penrose kite from the perspective of symplectic geometry.
arxiv:0712.1978
we present keck / lris - b spectra for a sample of ten aegis x - ray agn host galaxies and thirteen post - starburst galaxies from sdss and deep2 at 0. 2 < z < 0. 8 in order to investigate the presence, properties, and influence of outflowing galactic winds at intermediate redshifts. we focus on galaxies that either ho...
arxiv:1104.0681
the capabilities of the atlas, cms and lhcb detectors to reconstruct jets at forward rapidities ( | \ eta | > 3 ) in p - p collisions at the cern large hadron collider are reviewed. the qcd and higgs physics motivations for such measurements are summarised. details are given on studies that provide information on the p...
arxiv:0911.1273
the relation between classically chaotic dynamics and quantum localization is studied in a system that violates the assumptions of kolmogorov - arnold - moser ( kam ) theorem, namely, kicked rotor in a discontinuous potential barrier. we show that the discontinuous barrier induces chaos and more than two distinct sub -...
arxiv:1603.05777
rcsedv2 ( https : / / rcsed2. voxastro. org / ), the second reference catalog of spectral energy distributions of galaxies includes the largest homogeneously processed photometric dataset for 4 million galaxies assembled from several wide - field surveys. here we describe the methodology of the photometric data homogen...
arxiv:2112.04868
we show that the reasoning which led the author of arxiv : 1310. 6252 to reach his conclusions relies on an incorrect criterion for the existence of normalizable bound solutions. we reinforce that the general result derived in the appendix of our paper ( arxiv : 1310. 2185 ), namely, that " there are no tachyonic ( i. ...
arxiv:1310.7849
we introduce a max - plus analogue of the petrov - galerkin finite element method to solve finite horizon deterministic optimal control problems. the method relies on a max - plus variational formulation. we show that the error in the sup norm can be bounded from the difference between the value function and its projec...
arxiv:math/0603619
background concept extraction, a subdomain of natural language processing ( nlp ) with a focus on extracting concepts of interest, has been adopted to computationally extract clinical information from text for a wide range of applications ranging from clinical decision support to care quality improvement. objectives in...
arxiv:1910.11377
misinformation on social media presents a major threat to modern societies. while previous research has analyzed the virality across true and false social media posts, not every misleading post is necessarily equally viral. rather, misinformation has different characteristics and varies in terms of its believability an...
arxiv:2302.05443
this paper presents a numerical study on a fast marching method based back projection reconstruction algorithm for photoacoustic tomography in heterogeneous media. transcranial imaging is used here as a case study. to correct for the phase aberration from the heterogeneity ( i. e., skull ), the fast marching method is ...
arxiv:1501.03869
we use time - dependent hartree fock approximation to study the collective mode spectra of nu = 2 quantum hall bilayers in tilted magnetic field allowing for charge imbalance as well as tunneling between the two layers. in a previous companion paper to this work, we studied the zero temperature global phase diagram of ...
arxiv:cond-mat/0401044
thomassen conjectured that triangle - free planar graphs have an exponential number of $ 3 $ - colorings. we show this conjecture to be equivalent to the following statement : there exists a positive real $ \ alpha $ such that whenever $ g $ is a planar graph and $ a $ is a subset of its edges whose deletion makes $ g ...
arxiv:1702.00588
we present a technique to identify exact analytic expressions for the multi - quantum eigenstates of a linear chain of coupled qubits. a choice of hilbert subspaces is described which allows an exact solution of the stationary schr \ " { o } dinger equation without imposing periodic boundary conditions and without negl...
arxiv:quant-ph/0505206
the limited priors required by neural networks make them the dominating choice to encode and learn policies using reinforcement learning ( rl ). however, they are also black - boxes, making it hard to understand the agent ' s behaviour, especially when working on the image level. therefore, neuro - symbolic rl aims at ...
arxiv:2306.01439
weighted minwise hashing ( wmh ) is one of the fundamental subroutine, required by many celebrated approximation algorithms, commonly adopted in industrial practice for large scale - search and learning. the resource bottleneck of the algorithms is the computation of multiple ( typically a few hundreds to thousands ) i...
arxiv:1602.08393
in the last few years, the low - momentum nucleon - nucleon ( nn ) interaction v - low - k derived from free - space nn potentials has been successfully used in shell - model calculations. v - low - k is a smooth potential which preserves the deuteron binding energy as well as the half - on - shell t - matrix of the or...
arxiv:nucl-th/0701065
einstein action of gravity is obtained from a gauge theory, if our spacetime was once in two folds with a double lorentz symmetry. after the dual symmetry breaks spontaneously, lorentz symmetry absorbs gauge symmetry, while the gauge field begins to drive the vierbein and the spin connection. this gauge model of gravit...
arxiv:2212.13131
we study a new procedure to measure the sound horizon scale via baryonic acoustic oscillations ( bao ). instead of fitting the measured power spectrum ( ps ) to a theoretical model containing the cosmological informations and all the nonlinear effects, we define a procedure to project out ( or to " extract " ) the osci...
arxiv:1708.00375
we present a collective coordinate approach to describe coupled phase oscillators. we apply the method to study synchronisation in a kuramoto model. in our approach an n - dimensional kuramoto model is reduced to an n - dimensional ordinary differential equation with n < < n, constituting an immense reduction in comple...
arxiv:1505.05243
the causal structure for measurement bias ( mb ) remains controversial. aided by the directed acyclic graph ( dag ), this paper proposes a new structure for measuring one singleton variable whose mb arises in the selection of an imperfect i / o device - like measurement system. for effect estimation, however, an extra ...
arxiv:2012.10980
the properties of uniform hyperbolicity and dominated splitting have been introduced to study the stability of the dynamics of diffeomorphisms. one meets difficulties when one tries to extend these definitions to vector fields and shantao liao has shown that it is more relevant to consider the linear poincar \ ' e flow...
arxiv:2003.07099
spin collective phenomena including superradiance are even today being intensively investigated with experimental tests performed based on state - of - the - art quantum technologies. such attempts are not only for the simple experimental verification of predictions from the last century but also as a motivation to exp...
arxiv:1804.09926
generative adversarial network ( gan ) is a strong deep learning model that has shown its value in applications such as image processing and data enhancement. here, we propose a gan - based quantum topological toric code decoder and we apply it to devise a quantum teleportation protocol which is robust to depolarizing ...
arxiv:2409.06984
recently, very high - dimensional feature representations, e. g., fisher vector, have achieved excellent performance for visual recognition and retrieval. however, these lengthy representations always cause extremely heavy computational and storage costs and even become unfeasible in some large - scale applications. a ...
arxiv:1509.04916
the strong beams of high - frequency gravitational waves ( gw ) emitted by cusps and kinks of cosmic strings are studied in detail. as a consequence of these beams, the stochastic ensemble of gw ' s generated by a cosmological network of oscillating loops is strongly non gaussian, and includes occasional sharp bursts t...
arxiv:gr-qc/0104026
the performance limits of monolayer transition metal dichalcogenide transistors are examined with a ballistic mosfet model. using ab - initio theory, we calculate the band structures of two - dimensional ( 2d ) transition metal dichalco - genide ( mx2 ). we find the lattice structures of monolayer mx2 remain the same a...
arxiv:1106.4362
in this work we build a unifying framework to interpolate between density - driven and geometry - based algorithms for data clustering, and specifically, to connect the mean shift algorithm with spectral clustering at discrete and continuum levels. we seek this connection through the introduction of fokker - planck equ...
arxiv:2108.08687
in the era of 6g, featuring compelling visions of digital twins and metaverses, extended reality ( xr ) has emerged as a vital conduit connecting the digital and physical realms, garnering widespread interest. ensuring a fully immersive wireless xr experience stands as a paramount technical necessity, demanding the lib...
arxiv:2404.06182
we calculate the explicit probability distribution function for the flux between sites in a simple discrete time diffusive system composed of independent random walkers. we highlight some of the features of the distribution and we discuss its relation to the local instantaneous entropy production in the system. our res...
arxiv:cond-mat/0511450
in this note, we do the following : a ) by using lacey ' s recent technique, we give an alternative proof for conde - alonso and rey ' s domination theorem, which states that each positive dyadic operator of arbitrary complexity is pointwise dominated by a positive dyadic operator of zero complexity : \ [ \ sum _ { s \...
arxiv:1502.05942
relativistic hartree - fock and random phase approximation methods for open shells are used to calculate ionization potentials and static scalar polarizabilities of eight superheavy elements with open $ 6d $ - shell, which include db, sg, bh, hs, mt, ds, rg and cn ( $ z $ = 105 to 112 ). inter - electron correlations a...
arxiv:1602.08190
we present a novel and simple solution to atomic broadcast ( ab ). we reduce ab to two subproblems. one of them is reliable broadcast ( rb ). we also introduce a subproblem we call weakly - terminating binary agreement ( wba ). wba relaxes binary agreement ( ba ) protocols by not always terminating. wba admits much sim...
arxiv:2205.06314
this paper studies privacy and secure function evaluation in communication complexity. the focus is on quantum versions of the model and on protocols with only approximate privacy against honest players. we show that the privacy loss ( the minimum divulged information ) in computing a function can be decreased exponent...
arxiv:quant-ph/0110038
cohomology theory of links, introduced by the author, is combinatorial. dror bar - natan recently wrote a program that found ranks of cohomology groups of all prime knots with up to 11 crossings. his surprising experimental data is discussed in this note.
arxiv:math/0201306
in this paper, we consider the directional differentiability of metric projection and its properties in uniformly convex and uniformly smooth bochner space lp ( s ; x ), in which ( s, a, mu ) is a positive measure space and x is a uniformly convex and uniformly smooth banach space. let ( arbitrary ) a in a with measure...
arxiv:2311.00942
internet of things is an ecosystem of interconnected devices that are accessible through the internet. the recent research focuses on adding more smartness and intelligence to these edge devices. this makes them susceptible to various kinds of security threats. these edge devices rely on cryptographic techniques to enc...
arxiv:2206.09424
we define the homology of a simplicial set with coefficients in a segal ' s $ \ gamma $ - set ( $ \ mathbf s $ - module ). we show the relevance of this new homology with values in $ \ mathbf s $ - modules by proving that taking as coefficients the $ \ mathbf s $ - modules at the archimedean place over the structure sh...
arxiv:1905.03310
in entanglement - based quantum key distribution ( qkd ), the generation and detection of multi - photon modes leads to a trade - off between entanglement visibility and two - fold coincidence events when maximizing the secure key rate ( skr ). we produce a predictive model for the optimal two - fold coincidence probab...
arxiv:1210.0209
to reach a deeper understanding of fluid interfaces it is necessary to identify a meaningful coarse - graining length that separates intrinsic fluctuations from capillary ones, given the lack of a proper statistical mechanical definition of the latter. here, with the help of unsupervised learning techniques, we introdu...
arxiv:2201.00911