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We study normal approximations for a class of discrete-time occupancy processes, namely, Markov chains with transition kernels of product Bernoulli form. This class encompasses numerous models which appear in the complex networks…

Probability · Mathematics 2018-11-13 Liam Hodgkinson , Ross McVinish , Philip K. Pollett

We consider the evolution of the unstable periodic orbit structure of coupled chaotic systems. This involves the creation of a complicated set outside of the synchronization manifold (the emergent set). We quantitatively identify a critical…

chao-dyn · Physics 2009-10-31 E. Barreto , P. So , B. J. Gluckman , S. J. Schiff

Abstract We investigate the spectral shift in collective forward scattering for a cold dense atomic cloud. The shift, sometimes called collective Lamb shift, results from resonant dipole-dipole interaction mediated by real and virtual…

Quantum Physics · Physics 2020-12-01 Ting Hsu , Kuan-Ting Lin , Guin-Dar Lin

Stable event structures, and their duality with prime algebraic domains arising as partial orders of configurations, are a landmark of concurrency theory, providing a clear characterisation of causality in computations. They have been used…

Logic in Computer Science · Computer Science 2020-11-19 Paolo Baldan , Andrea Corradini , Fabio Gadducci

The generalized transport equations for a consistent description of kinetic and hydrodynamic processes in dense gases and liquids are considered. The inner structure of the generalized transport kernels for these equations is established.…

Statistical Mechanics · Physics 2015-06-16 B. Markiv , I. Omelyan , M. Tokarchuk

Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics for more than a century. Extensive…

Fluid Dynamics · Physics 2017-10-09 Jianjun Tao , Xiangming Xiong

Characterization of classes of switching signals that ensure stability of switched systems occupies a significant portion of the switched systems literature. This article collects a multitude of stabilizing switching signals under an…

Systems and Control · Computer Science 2019-06-05 Atreyee Kundu , Debasish Chatterjee

Wave Universe Concept (WU Concept) opens new wide possibilities for the effective description of Elementar Objects of Matter (EOM) hierarchy, in particular, of particles, resonances mass spectrum of subatomic (and HEP) physics. The special…

General Physics · Physics 2007-05-23 A. M. Chechelnitsky

This is the summary talk of the Nijmegen Workshop. The topics are: 1. Introduction, 2. Phenomenology of mature topics, 2.1 Bose-Einstein correlations, 2.2 Fluctuations, 2.3 Phenomenology of QCD and other dynamics, 3. Experiments not driven…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rudolph C. Hwa

In present paper we suggest a new universal approach to study complex systems by microscopic, mesoscopic and macroscopic methods. We discuss new possibilities of extracting information on nonstationarity, unsteadiness and non-Markovity of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Renat M. Yulmetyev , Anatolii V. Mokshin , Peter Hänggi

These lectures deal with: (1) a brief review of the theory of flexible random manifolds (with fixed intrinsic metric), connected to the physics of polymerized membranes, and of the effect of extrinsic curvature (crumpling transitions); (2)…

High Energy Physics - Theory · Physics 2008-02-03 Francois David

We study the first uniformly finite homology group of Block and Weinberger for uniformly locally finite graphs, with coefficients in $\mathbb{Z}$ and $\mathbb{Z}_2$. When the graph is a tree, or coefficients are in $\mathbb{Z}_2$, a…

Combinatorics · Mathematics 2020-01-20 Rémi Bottinelli , Tom Kaiser

Nonequilibrium phenomena of the phase transitions are studied. It is shown that due to finite relaxation time of the particle distributions, the use of scalar background dependent distribution functions is inconsistent.This observation may…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Riotto , I. Vilja

These are lecture notes for a short course given at the Les Houches Summer School on ``Integrability in Atomic and Condensed Matter Physics'', in summer 2018. Here, I pedagogically discuss recent advances in the study of the entanglement…

Statistical Mechanics · Physics 2020-12-02 Pasquale Calabrese

Rare events are processes that occur upon the emergence of unlikely fluctuations. Unlike what their name suggests, rare events are fairly ubiquitous in nature, as the occurrence of many structural transformations in biology and material…

Statistical Mechanics · Physics 2020-02-26 Sarwar Hussain , Amir Haji-Akbari

The main goal of these lectures -- introduction to Quantum Mechanics for mathematically-minded readers. The second goal is to discuss the mathematical interpretation of the main quantum postulates: transitions between quantum stationary…

Mathematical Physics · Physics 2019-07-16 Alexander Komech

This paper is concerned with the regularity theory of a transmission problem arising in composite materials. We give a new self-contained proof for the $C^{k,\alpha}$ estimates on both sides of the interface under the minimal assumptions on…

Analysis of PDEs · Mathematics 2020-08-28 Jinping Zhuge

In September 2024, eclipsing binary star practitioners gathered in Litomysl, Czech Republic, the birth town of Zdenek Kopal, one of the most celebrated pioneers of our field, to discuss the latest developments and state-of-the-art. I was…

Solar and Stellar Astrophysics · Physics 2025-01-22 Andrej Prsa

We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \citep{cuesta2009projection,cuesta2007sharp} in a data-driven…

Statistics Theory · Mathematics 2026-04-14 Tiefeng Jiang , Tuan Pham

The working group on Spin Physics at the XXIV International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2016) witnessed a significant progress in the theoretical and experimental investigations aiming at unveiling the…

High Energy Physics - Phenomenology · Physics 2016-08-31 Emanuele Nocera , Silvia Pisano