Statistical Mechanics of Classical and Disordered Systems, 1st ed. 2019 Luminy, France, August 2018 Springer Proceedings in Mathematics & Statistics Series, Vol. 293

These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology. 

Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. 

The contributions to this volume, with their rather unique blend of rigorous mathematics and applications, outline the state-of-the-art of this success story in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems.

Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.

Preface.- 1. Ordered Systems:1.1.Jahnel Benedikt, Sascha Kissel, Christof Külske, Utkir Roziko, Gibbs - non Gibbs transitions in different geometries: the Widom-Rowlinson model under stochastic spin-flip dynamics.- 1.2.Aernout van Enter, One-sided versus two-sided stochastic descriptions.- 2. Disordered Systems: 2.1.Louis-Pierre Arguin and Roberto Persechino, The free energy of the GREM with random magnetic field.- 2.2.Erwin Bolthausen, A Morita type proof of the replica-symmetric formula for SK.- 2.3 Jiri Cerny, Concentration of the clock process normalisation for the Metropolis dynamics of the REM.- 2.4. Véronique Gayrard and Lisa Hartung, Dynamic phase diagram of the REM.- 2.5. Francesco Guerra. The replica trick in the frame of replica Interpolation.- 2.6 Goetz Kersting, Nicola Kistler, Adrien Schertzer, Marius A. Schmidt, From Parisi to Boltzmann.- 2.7. Lily Z. Wang, Reza Gheissari, Charles M. Newman, Daniel L. Stein, Nature vs. Nurture:dynamical evolution in disordered Ising ferromagnets.- 3. Miscellaneous: 3.1.Pietro Caputo, Dmitry Ioffe, Vitali Wachtel, Tightness and line ensembles for Brownianpolymers under geometric area tilts.- 3.2.Alessandra Faggionato, Large deviations and uncertainty relations in periodically driven Markov chains.