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This is an introduction to some of the most probabilistic aspects of free probability theory.

Probability · Mathematics 2016-09-07 Philippe Biane

This biographical account of the life and work of David Kendall includes details of his personal and professional activities. Kendall is probably best known for his work in applied probability, especially queueing theory, and in stochastic…

History and Overview · Mathematics 2008-10-08 Geoffrey Grimmett

In the introduction to this volume, we discuss some of the highlights of the research career of Chuck Newman. This introduction is divided into two main sections, the first covering Chuck's work in statistical mechanics and the second his…

Probability · Mathematics 2020-02-04 Federico Camia , Daniel L. Stein

Theory of Probability is distinguished by several high-level philosophical attitudes, some stressed by Jeffreys, some implicit. By reviewing these we may recognize the importance in this work in the historical development of statistics.…

Methodology · Statistics 2010-01-19 Robert Kass

This paper is devoted to Poincar\'e's work in probability. Though the subject does not represent a large part of the mathematician's achievements, it provides significant insight into the evolution of Poincar\'e's thought on several…

History and Overview · Mathematics 2013-03-06 Laurent Mazliak

In celebration of Professor Ron Doney's 80th birthday, we provide a summary of his academic career and contributions to probability theory, as one of the UK's leading probabilists for over 50 years. A version of this note also serves as an…

Probability · Mathematics 2021-12-21 Loïc Chaumont , Andreas Kyprianou

Review of Cheryl Misak, Frank Ramsey: A Sheer Excess of Powers (Oxford University Press, 2020).

Other Statistics · Statistics 2020-07-15 F. E. Guerra-Pujol

We survey the published work of Harry Kesten in probability theory, with emphasis on his contributions to random walks, branching processes, percolation, and related topics. A complete bibliography is included of his publications.

Probability · Mathematics 2020-11-16 Geoffrey R. Grimmett

An informal and elementary introduction to probability scoring and forecast verification and improvement, slightly extended from Significance 22:3(2025)16, which might be useful for less mathematical readers as a prologue to the classic…

Other Statistics · Statistics 2025-09-11 Niall MacKay

A brief description and results of A.M. Mathai's research programme on statistics and probability, initiated in the 1970s, and its relation to physics is given.

History and Philosophy of Physics · Physics 2011-03-01 H. J. Haubold

This text presents an unified approach of probability and statistics in the pursuit of understanding and computation of randomness in engineering or physical or social system with prediction with generalizability. Starting from elementary…

History and Overview · Mathematics 2024-01-19 Lakshman Mahto

Herein we present one hundred inequalities culled from various corners of the probability, statistics, and combinatorics literature. We welcome new suggestions.

Statistics Theory · Mathematics 2021-02-16 CNP Slagle

The talk presents the main lines of biography of the prominent physicist and bright personality. Also given is a necessarily brief description of Gribov's scientific work.

History and Philosophy of Physics · Physics 2016-11-03 Ya. I. Azimov

We apply stochastic model of citation dynamics of individual papers developed in our previous work (M. Golosovsky and S. Solomon, Phys. Rev. E\textbf{ 95}, 012324 (2017)) to forecast citation career of individual papers. We focus not only…

Physics and Society · Physics 2019-10-03 Michael Golosovsky

Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle" by Deborah G. Mayo [arXiv:1302.7021].

Methodology · Statistics 2014-11-05 D. A. S. Fraser

We are grateful to all discussants of our re-visitation for their strong support in our enterprise and for their overall agreement with our perspective. Further discussions with them and other leading statisticians showed that the legacy of…

Methodology · Statistics 2010-10-11 Christian P. Robert , Nicolas Chopin , Judith Rousseau

This is a survey article to be part of the Encyclopedia of Mathematical Physics, to be published by Elsevier in the beginning of 2006.

Probability · Mathematics 2016-09-07 Vincent Beffara , Vladas Sidoravicius

Probabilities is the English translation of the book Probabilit\'es Tome 1 and Tome 2. The mathematic content is authored by Prof. Jean-Yves Ouvrard. The English version has been done by his eldest son Dr. Xavier Ouvrard. In this first…

History and Overview · Mathematics 2026-04-16 Jean-Yves Ouvrard , Xavier Ouvrard

This text is a survey of the general theory of stochastic processes, with a view towards random times and enlargements of filtrations. The first five chapters present standard materials, which were developed by the French probability school…

Probability · Mathematics 2007-05-23 Ashkan Nikeghbali

This is a (long) survey about applications of percolation theory in equilibrium statistical mechanics. The chapters are as follows: 1. Introduction 2. Equilibrium phases 3. Some models 4. Coupling and stochastic domination 5. Percolation 6.…

Probability · Mathematics 2016-09-07 H. -O. Georgii , O. Häggström , C. Maes
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