Serija: Memoirs of the American Mathematical Society
(Išleidimo metai: 12-Feb-2019, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470454142)
The authors consider the nonlinear equation -\frac 1m=z+Sm with a parameter z in the complex upper half plane \mathbb H , where S is a positivity preserving symmetric linear operator acting on bounded functions. The solution with values in ...Daugiau...
(Išleidimo metai: 11-Jan-2011, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9780821882313)
The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physic...Daugiau...
(Išleidimo metai: 31-Jan-2012, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9780821885062)
The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book. In this gr...Daugiau...
(Išleidimo metai: 30-Jun-2016, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470432089)
Over the last fifteen years a variety of problems in combinatorics have been solved in terms of random matrix theory. More precisely, the situation is as follows: the problems at hand are probabilistic in nature and, in an appropriate scaling limit,...Daugiau...
Serija: Memoirs of the American Mathematical Society
(Išleidimo metai: 30-Mar-2021, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470463991)
Voiculescus notion of asymptotic free independence is known for a large class of random matrices including independent unitary invariant matrices. This notion is extended for independent random matrices invariant in law by conjugation by permutation...Daugiau...
(Išleidimo metai: 30-Jul-2011, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470413989)
Random matrix theory is a wide and growing field with a variety of concepts, results, and techniques and a vast range of applications in mathematics and the related sciences. The book, written by well-known experts, offers beginners a fairly balanced...Daugiau...
(Išleidimo metai: 28-Feb-2025, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470477226)
This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory....Daugiau...
Serija: Proceedings of Symposia in Applied Mathematics
(Išleidimo metai: 30-Jul-2014, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470416607)
The theory of random matrices is an amazingly rich topic in mathematics. Random matrices play a fundamental role in various areas such as statistics, mathematical physics, combinatorics, theoretical computer science, number theory and numerical analy...Daugiau...