副标题: Lecture Notes of the Les Houches Summer School: Volume 104, July 2015
出版年: 2017-8-10
页数: 640
ISBN: 9780198797319
内容简介 · · · · · ·
Authoritative set of lecture notes on stochastic processes and Random Matrix Theory (RMT)
Suitable for graduate students, PhDs, post-docs in both Physics and Mathematics
Detailed presentation of recent advances
Includes topical subjects like the Kardar-Parisi-Zhang (KPZ) universality class, low dimensional heat transport, integrable probability
关于随机过程和随机矩阵理论 (RMT) 的权威讲义集
适合物理和数...
Authoritative set of lecture notes on stochastic processes and Random Matrix Theory (RMT)
Suitable for graduate students, PhDs, post-docs in both Physics and Mathematics
Detailed presentation of recent advances
Includes topical subjects like the Kardar-Parisi-Zhang (KPZ) universality class, low dimensional heat transport, integrable probability
关于随机过程和随机矩阵理论 (RMT) 的权威讲义集
适合物理和数学专业的研究生、博士、博士后
最新进展的详细介绍
包括诸如 Kardar-Parisi-Zhang (KPZ) 普遍性类、低维热传输、可积概率等主题
The field of stochastic processes and Random Matrix Theory (RMT) has been a rapidly evolving subject during the last fifteen years. The continuous development and discovery of new tools, connections and ideas have led to an avalanche of new results. These breakthroughs have been made possible thanks, to a large extent, to the recent development of various new techniques in RMT.
Matrix models have been playing an important role in theoretical physics for a long time and they are currently also a very active domain of research in mathematics. An emblematic example of these recent advances concerns the theory of growth phenomena in the Kardar-Parisi-Zhang (KPZ) universality class where the joint efforts of physicists and mathematicians during the last twenty years have unveiled the beautiful connections
作者简介 · · · · · ·
Edited by Grégory Schehr, Senior Researcher, CNRS - Université Paris-Sud, France, Alexander Altland, Professor of Theoretical Condensed Matter Physics, Institute for Theoretical Physics, University of Köln, Germany, Yan V. Fyodorov, Professor, Department of Mathematics, King's College London, UK, Neil O'Connell, Professor of Mathematics, Mathematics Institute, University of War...
Edited by Grégory Schehr, Senior Researcher, CNRS - Université Paris-Sud, France, Alexander Altland, Professor of Theoretical Condensed Matter Physics, Institute for Theoretical Physics, University of Köln, Germany, Yan V. Fyodorov, Professor, Department of Mathematics, King's College London, UK, Neil O'Connell, Professor of Mathematics, Mathematics Institute, University of Warwick, UK, and Leticia F. Cugliandolo, Professor, Université Pierre et Marie Curie, Laboratoire de Physique Théorique et Hautes Energies, CNRS, Paris, France
Grégory Schehr received his PhD in theoretical physics at the École Normale Supérieure in Paris in 2003. After a postdoc at the University of Saarland (Germany), he obtained a CNRS position in 2006. Currently, he is a CNRS research director at the Laboratoire de Physique Théorique et Modéles Statistiques, Université Paris-Saclay. His research interests are in statistical mechanics. His main topics include in particular random matrix theory, extreme value statistics, non-equilibrium dynamics, first-passage problems and disordered systems. He received the CNRS bronze medal in 2010.
Alexander Altland received his PhD at the Max-Planck-Institute for Nuclear Physics in Heidelberg in 1991. After postdocs at the Weizmann Institute, Israel, and Cambridge University, he was appointed assistant professor at Bochum University, before he became full professor at Cologne University in 2001. His research interests include the physics of random systems, topological condensed matter, and quantum field theory in general.
Yan V. Fyodorov received his Ph.D. in theoretical & mathematical physics from Petersburg Nuclear Physics Institute, Russia, in 1988. After holding post-doctoral fellowships at University of Essen, Germany and Weizmann Institute, Israel he spent some time as a researcher at the University of Essen, before moving to the UK where he hold professorial positions subsequently at Brunel University, University of Nottingham, and Queen Mary University of London. He is currently a full professor at King's College London. His current research focuses on theory of random matrices and its applications to physics of disordered systems, and beyond. He received Prix Institut Henri Poincaré-Gauthier Villars (1999), Bessel Research Award of Alexander von Humboldt foundation (2006) and Leverhulme Research Fellowship (2008).
Neil O'Connell received his Ph.D. in Statistics from the University of California at Berkeley, in 1993. He is currently professor at the University of Bristol. His research focuses on probability, random matrices, representation theory and statistical physics. He received the Ito prize, and the Rollo Davidson Prize.
Leticia F. Cugliandolo received her Ph.D. in theoretical physics from the Universidad Nacional de La Plata, Argentina, in 1991. After post-docs in Universita di Roma I, La Sapienza, and CEA/Saclay she joined the Physics Department at École Normale Supérieure de Paris in 1997. She is currently a full professor at Université Pierre et Marie Curie in Paris and the director of École de Physique des Houches since 2007. Her research focuses on statistical physics and condensed matter problems. She received the Marie Curie Excellence Award, the Guggenheim Fellowship and the Prix Langevin of the French Physical Society.
Contributors:
Gernot Akemann, Department of Physics, Bielefeld University, Germany
Oriol Bohigas (the late)
Alexei Borodin, Department of Mathematics, Massachusetts Institute of Technology, USA
Jean-Philippe Bouchaud, Capital Fund Management, France
Alain Comtet, LPTMS, University of Paris-Sud, France
Bertrand Eynard, IPHT CEA Saclay, France
Alice Guionnet, Departement de Mathématiques, ENS Lyon, France
Jon P. Keating, School of Mathematics, University of Bristol, UK
Aris L. Moustakas, Department of Physics, National and Kapodistrian University of Athens, Greece
Leonid Petrov, Department of Mathematics, University of Virginia, USA
Rémi Rhodes, University of Marne-la-Valée, France
Henning Schomerus, Department of Physics, Lancaster University, UK
Herbet Spohn, Mathematics and Physics Department, Technical University of Munich, Germany
Yves Tourigny, School of Mathematics, University of Bristol, UK
Vincent Vargas, Département de Mathématique et Applications, École Normale Supérieure, France
Hans Weidenmüller, Max-Planck-Institut für Kernphysik, Germany
Anton Zabrodin, Institute of Biochemical Physics RAS, Moscow, Russia
目录 · · · · · ·
2:Integrable Probability: Stochastic Vertex Models and Symmetric Functions, Alexei Borodin, Leonid Petrov
3:Free Probability, Alice Guionnet
4:The Kardar-Parisi-Zhang Equation: A Statistical Physics Perspective, Herbet Spohn
5:Random Matrix Theory and Quantum Chromodynamics, Gernot Akemann
6:Random Matrix Theory and (Big) Data Analysis, Jean-Philippe Bouchaud
· · · · · · (更多)
2:Integrable Probability: Stochastic Vertex Models and Symmetric Functions, Alexei Borodin, Leonid Petrov
3:Free Probability, Alice Guionnet
4:The Kardar-Parisi-Zhang Equation: A Statistical Physics Perspective, Herbet Spohn
5:Random Matrix Theory and Quantum Chromodynamics, Gernot Akemann
6:Random Matrix Theory and (Big) Data Analysis, Jean-Philippe Bouchaud
7:Random Matrices and Loop Equations, Bertrand Eynard
8:Random Matrices and Number Theory: Some Recent Themes, Jon P. Keating
9:Modern Telecommunications: A Playground for Physicists?, Aris L. Moustakas
10:Random Matrix Approaches to Open Quantum Systems, Henning Schomerus
11:Impurity Models and Products of Random Matrices, Alain Comtet, Yves Tourigny
12:Gaussian Multiplicative Chaos and Lioville Quantum Gravity, Rémi Rhodes, Vincent Vargas
13:Quantum Spin Chains and Classical Integrable Systems, Anton Zabrodin
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还没人写过短评呢