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In this talk I will introduce the principle of stochastic stability and discussing its consequences both at equilibrium and off-equilibrium.

Statistical Mechanics · Physics 2009-10-31 Giorgio Parisi

This is the English version of my inaugural lecture at Coll\`ege de France in 2021, available at https://www.youtube.com/watch?v=bxktplKMhKU. I reflect on the difficulty of multi-disciplinary research, which often hinges of unexpected…

Physics and Society · Physics 2023-08-08 Jean-Philippe Bouchaud

Lecture notes on elements of nonequilibrium statistical mechanics: (1) a characterization of the nonequilibrium condition, largely by contrast to equilibrium; (2) a retelling of some of the great performances of the more distant past,…

Statistical Mechanics · Physics 2026-02-18 Christian Maes

This is an extended version of my 2018 Heinemann prize lecture describing the work for which I got the prize. The citation is very broad so this describes virtually all my work prior to 1995 and some afterwards. It discusses work in…

Mathematical Physics · Physics 2024-06-19 Barry Simon

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

Statistical Mechanics · Physics 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

A critical examination of some basic conceptual issues in classical statistical mechanics is attempted, with a view to understanding the origins, structure and statuts of that discipline. Due attention is given to the interplay between…

Statistical Mechanics · Physics 2015-06-24 Sergio B. Volchan

The Nobel prize in physics for 2022 was given for performing Bell experiments with varying degree of sophistication. The interpretation of this experiment is discussed by first recalling Bell's simple argument behind his inequalities, in…

Quantum Physics · Physics 2022-11-22 Inge S. Helland

A unified viewpoint is presented in margin to the ``Work, dissipation and fluctuations in nonequilibrium physics'', Bruxelles 22-25 March, 2006, where the topics were discussed by various authors and it became clear the need that the very…

Statistical Mechanics · Physics 2008-02-11 Giovanni Gallavotti

A \emph{new} notion of equilibrium, which we call \emph{strong equilibrium}, is introduced for time-inconsistent stopping problems in continuous time. Compared to the existing notions introduced in ArXiv: 1502.03998 and ArXiv: 1709.05181,…

Mathematical Finance · Quantitative Finance 2020-10-02 Erhan Bayraktar , Jingjie Zhang , Zhou Zhou

There are three levels of description in classical statistical mechanics, the microscopic/dynamic, the macroscopic/statistical and the thermodynamic. At one end there is a well-used concept of equilibrium in thermodynamics and at the other…

Statistical Mechanics · Physics 2007-05-23 D. A. Lavis

We give a pedagogical introduction to a selection of recently discussed topics in nonequilibrium statistical mechanics, concentrating mostly on formal structures and on general principles. Part I contains an overview of the formalism of…

Mathematical Physics · Physics 2009-11-05 C. Maes , K. Netocny , B. Shergelashvili

The aim of these lectures, given at the Les Houches Summer School of Physics "Strongly Interacting Quantum Systems Out of Equilibrium", is providing an introduction to several important and interesting facets of out of equilibrium dynamics.…

Statistical Mechanics · Physics 2015-07-22 Giulio Biroli

The first part of the paper is devoted to the foundations, that is the mathematical and physical justification, of equilibrium statistical mechanics. It is a pedagogical attempt, mostly based on Khinchin's presentation, which purpose is to…

Statistical Mechanics · Physics 2007-05-23 Dragi Karevski

This is a brief review of recent theoretical efforts to understand persistence in nonequilibrium systems. Some of the recent experimental results are also briefly mentioned. I also discuss recent generalizations of persistence in various…

Statistical Mechanics · Physics 2007-05-23 Satya N. Majumdar

Disordered many-body systems exhibit a wide range of emergent phenomena across different scales. These complex behaviors can be utilized for various information processing tasks such as error correction, learning, and optimization. Despite…

Disordered Systems and Neural Networks · Physics 2023-08-04 Weishun Zhong

The dynamics of phase transitions plays a crucial r\^ole in the so-called interface between high energy particle physics and cosmology. Many of the interesting results generated during the last fifteen years or so rely on simplified…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcelo Gleiser

As Physics did in previous centuries, there is currently a common dream of extracting generic laws of nature in economics, sociology, neuroscience, by focalising the description of phenomena to a minimal set of variables and parameters,…

Physics and Society · Physics 2016-10-14 Fatihcan M. Atay , Sven Banisch , Philippe Blanchard , Bruno Cessac , Eckehard Olbrich

Index: 1) Trajectories, distributions and path integrals. 2) Time-reversal and Equilibrium 3) Separation of timescales 4) Large Deviations 5) Metastability and dynamical phase transitions 6) Fluctuation Theorems and Jarzynski equality

Statistical Mechanics · Physics 2009-01-18 Jorge Kurchan

This note analyzes the physical basis of J.R. England's paper "Statistical physics of self-replication." [J. Chem. Phys. {\bf 139}, 121923(2013)]. We follow England's use of time-reversal symmetry but replace stochastic by deterministic…

Mathematical Physics · Physics 2015-02-06 David Ruelle

A view on the physical meaning of the so called ergodic hypothesis: its role on the foundations of equilibrium statistical mechanics in mid '800, its interpretations and hints at its relevance for modern nonequilibrium statistical…

Statistical Mechanics · Physics 2016-10-06 Giovanni Gallavotti
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