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This paper reviews selected aspects of the growth of cosmological structure, covering the following general areas: (1) expected characteristics of linear density perturbations according to various candidate theories for the origin of…

Astrophysics · Physics 2007-05-23 J. A. Peacock

This article gives an overview of the constitution, physical conditions and observables of dust in the interstellar medium of nearby galaxies. We first review the macroscopic, spatial distribution of dust in these objects, and its…

Astrophysics of Galaxies · Physics 2022-08-10 F. Galliano , M. Galametz , A. P. Jones

Our aim is to investigate spaces with sigma-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the differences between these classes while answering questions of…

General Topology · Mathematics 2012-10-19 Daniel T. Soukup , Lajos Soukup , Santi Spadaro

The notion of stochastic shadowing property is introduced. Relations to stochastic stability and standard shadowing are studied. Using tent map as an example it is proved that, in contrast to what happens for standard shadowing, there are…

Dynamical Systems · Mathematics 2014-12-01 Dmitry Todorov

The conditions of thermodynamic equilibrium, local thermodynamic equilibrium, and statistical equilibrium are discussed in detail. The equations of statistical equilibrium and the supplementary equations are shown together with the…

Solar and Stellar Astrophysics · Physics 2015-05-19 Jiri Kubat

The notions of $k$-separability and $k$-producibility are useful and expressive tools for the characterization of entanglement in multipartite quantum systems, when a more detailed analysis would be infeasible or simply needless. In this…

Quantum Physics · Physics 2021-03-05 Szilárd Szalay

The origin of chemically peculiar stars remains enigmatic, especially regarding their frequency among their "normal" peers. In addition to magnetic fields and rotation, multiplicity may shed light on the question. We mention the main…

Solar and Stellar Astrophysics · Physics 2013-10-01 Pierre L. North

We give a characterization of smooth quadrics in terms of the existence of full exceptional collections of certain type, which generalizes a result of C.Vial for projective spaces.

Algebraic Geometry · Mathematics 2017-12-05 Duo Li

The string-dominated universe locally resembles an open universe, and fits dynamical measures of power spectra, cluster abundances, redshift distortions, lensing constraints, luminosity and angular diameter distance relations and microwave…

Astrophysics · Physics 2009-10-28 David Spergel , Ue-Li Pen

We discuss spectral properties of a charged quantum particle confined to a chain graph consisting of an infinite array of rings under influence of a magnetic field assuming a $\delta$-coupling at the points where the rings touch. We start…

Mathematical Physics · Physics 2020-01-30 Pavel Exner , Stepan Manko

Much of machine learning relies on comparing distributions with discrepancy measures. Stein's method creates discrepancy measures between two distributions that require only the unnormalized density of one and samples from the other. Stein…

Machine Learning · Statistics 2020-07-21 Raghav Singhal , Xintian Han , Saad Lahlou , Rajesh Ranganath

A potential scattering theory from deterministic and random $\mathcal{PT}$ collections of particles with gain and loss is introduced and the forms of their structure and pair-structure factors are elucidated. An example relating to light…

Optics · Physics 2021-04-07 Olga Korotkova , Paulo A. Brandão

The paper tries to extend results of the classical Descriptive Set Theory to as many countably based T_0-spaces (cb_0-spaces) as possible. Along with extending some central facts about Borel, Luzin and Hausdorff hierarchies of sets we…

General Topology · Mathematics 2014-06-17 Victor Selivanov

We review the landscape of QCD axion models. Theoretical constructions that extend the window for the axion mass and couplings beyond conventional regions are highlighted and classified. Bounds from cosmology, astrophysics and experimental…

High Energy Physics - Phenomenology · Physics 2022-06-08 Luca Di Luzio , Maurizio Giannotti , Enrico Nardi , Luca Visinelli

In this introductory talk we will establish connections between the statistical analysis of galaxy clustering in cosmology and recent work in mainstream spatial statistics. The lecture will review the methods of spatial statistics used by…

Astrophysics · Physics 2007-05-23 Vicent J. Martinez , Enn Saar

We comment on some recent investigations on the electronic properties of models associated to the Thue-Morse chain and point out that their conclusions are in contradiction with rigorously proven theorems and indicate some of the sources of…

Condensed Matter · Physics 2019-08-17 A. Bovier , J. -M. Ghez

Close binary stars are binary stars where the component stars are close enough such that they can exchange mass and/or energy. They are subdivided into semi-detached, overcontact or ellipsoidal binary stars. A challenging problem in the…

Solar and Stellar Astrophysics · Physics 2020-01-08 Sandip V. George , R. Misra , G. Ambika

We investigate the star-free closure, which associates to a class of languages its closure under Boolean operations and marked concatenation. We prove that the star-free closure of any finite class and of any class of groups languages with…

Formal Languages and Automata Theory · Computer Science 2019-04-29 Thomas Place , Marc Zeitoun

In this paper we continue the study of conditional Markov chains (CMCs) with finite state spaces, that we initiated in Bielecki, Jakubowski and Niew\k{e}g{\l}owski (2014a) in an effort to enrich the theory of CMCs that was originated in…

Probability · Mathematics 2015-12-01 Tomasz R. Bielecki , Jacek Jakubowski , Mariusz Niewęgłowski

We investigate the compatibility of Lorentzian amalgamation with various properties of Lorentzian pre-length spaces. In particular, we give conditions under which gluing of Lorentzian length spaces yields again a Lorentzian length space and…

Differential Geometry · Mathematics 2023-08-09 Felix Rott