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This book contains a large number of exercises related to different stochastic disciplines. Difficulty of the problems varies from the basic level in the first chapter up to the analysis of articles in Probability, Statistics and Computer…

The intersection set of Bayesian and nonparametric statistics was almost empty until about 1973, but now is growing at a healthy rate. This chapter, for the {\it Highly Structured Stochastic Systems} book (Oxford University Press, 2003)…

统计方法学 · 统计学 2026-05-21 Nils Lid Hjort

The primary sourcebook for developments based on the data of the world components "Theory of Intellectualities and Mathematical Statistics" (TIMS) collections of the Department of Mathematics, Physics and Astronomy of Odessky National…

历史与综述 · 数学 2024-05-17 Lidiia L. Chinarova , Ivan L. Andronov

This survey aims to provide a guide to the literature on topological 4-manifolds. Foundational theorems on 4-manifolds are stated, especially in the topological category. Precise references are given, with indications of the strategies…

几何拓扑 · 数学 2024-01-03 Stefan Friedl , Matthias Nagel , Patrick Orson , Mark Powell

The first part of the paper is a brief overview of Hindman's finite sums theorem, its prehistory and a few of its further generalizations, and a modern technique used in proving these and similar results, which is based on idempotent…

一般拓扑 · 数学 2024-12-30 Denis I. Saveliev

This small text was written for the AMS Notices. It is a survey of integrality properties of complex local systems, where I tried to single out one example which is not entirely explicit in the literature. The focus is on the obstruction it…

代数几何 · 数学 2023-08-17 Hélène Esnault

This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review…

概率论 · 数学 2021-08-24 Aladji Babacar Niang , Gane Samb Lo , Moumouni Diallo

Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astro-physics, geophysics etc. It is of our hope that some of the problems discussed in this book will find…

综合数学 · 数学 2007-05-23 Florentin Smarandache , V. Christianto , Fu Yuhua , R. Khrapko , J. Hutchison

In this book, we introduce the notion of Smarandache special definite algebraic structures. We can also call them equivalently as Smarandache definite special algebraic structures. These new structures are defined as those strong algebraic…

综合数学 · 数学 2009-02-23 W. B. Vasantha Kandasamy

This is intended to appear as the introduction to "The CBM Physics Book: compressed baryonic matter in laboratory experiments" (ed. B. Friman, C. H\"ohne, S. Leupold, J. Knoll, J. Randrup, R. Rapp, P. Senger), to be published by Springer.…

高能物理 - 唯象学 · 物理学 2015-05-18 Frank Wilczek

This paper is a synopsis of the recent book A. Boritchev, S. Kuksin, \textit{One-Dimensional Turbulence and the Stochastic Burgers Equation}, AMS Publications, 2021 (to appear). The book is dedicated to the stochastic Burgers equation as a…

数学物理 · 物理学 2021-02-23 Sergei Kuksin

These notes constitute the basis for the lectures given by the author at Centre de recherches math\'ematiques (CRM) at Universit\'e de Montreal, as part of the thematic semester on "Mathematical challenges in many-body physics and quantum…

概率论 · 数学 2018-12-10 Raluca M. Balan

This survey contains an exposition of ideas and results related to Faltings' proof of the conjectures of Shafarevich, Tate and Mordell. This paper originally appeared in 1986 as an Appendix to the Russian translation of Serge Lang,…

数论 · 数学 2009-12-23 Yuri G. Zarhin , Alexey N. Parshin

CONTENTS: New reals: Can live with them, can live without them; Uniform almost everywhere domination; Heredity of tau-pseudocompactness; Understanding preservation theorems: omega^omega-bounding; Classification problems in continuum theory;…

一般拓扑 · 数学 2008-12-31 Boaz Tsaban

This note provides a brief guide to the current state of the literature on Tarski's problems with emphasis on features that distinguish the approach based on combinatorial and algorithmic group theory from the topological approach to…

群论 · 数学 2014-06-03 Olga Kharlampovich , Alexei Myasnikov

In this paper we present a surprisingly general extension of the main result of a paper that appeared in this journal: I. Montes et al., Sklar's theorem in an imprecise setting, Fuzzy Sets and Systems, 278 (2015), 48--66. The main tools we…

概率论 · 数学 2023-08-28 Matjaž Omladič , Nik Stopar

In this review, we examine the recent progress in saliency prediction and proposed several avenues for future research. In spite of tremendous efforts and huge progress, there is still room for improvement in terms finer-grained analysis of…

计算机视觉与模式识别 · 计算机科学 2019-04-26 Ali Borji , Hamed R. Tavakoli , Zoya Bylinskii

This document is a collection of comments that I wrote down while reading the first four chapters of the book "Discrete Groups, Expanding Graphs and Invariant Measures" by Alexander Lubotzky. Most of them are more detailed versions of…

群论 · 数学 2021-06-28 Francesco Fournier-Facio

This book provides a gentle introduction to fractional Sobolev spaces, which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of…

偏微分方程分析 · 数学 2023-03-13 Giovanni Leoni

The Bodirsky-Pinsker conjecture asserts a P vs. NP-complete dichotomy for the computational complexity of Constraint Satisfaction Problems (CSPs) of first-order reducts of finitely bounded homogeneous structures. Prominently, two structures…

逻辑 · 数学 2026-02-03 Roman Feller , Michael Pinsker