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...Loe edasi...
(Ilmumisaeg: 21-Jun-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031602931)
This book is a comprehensive guide to pseudo-Hermitian random matrices, their properties, and their role in many models that are relevant to physical processes. The book starts by showing how the concept of pseudo-Hermiticity emerged from studies of...Loe edasi...
Free Probability/Non-commutative Probability has gained much attentionsignificant advances have been made since its initiation in the 1990’s. Though it started as a branch of Mathematics, it has found significant applications in statistics, wireless...Loe edasi...
This volume is dedicated to the memory of Harold Widom (1932–2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time. It contains a biography...Loe edasi...
This volume is dedicated to the memory of Harold Widom (1932–2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time. It contains a biography...Loe edasi...
Free Probability/Non-commutative Probability has gained much attentionsignificant advances have been made since its initiation in the 1990’s. Though it started as a branch of Mathematics, it has found significant applications in statistics, wireless...Loe edasi...
After establishing the construction for random matrices, Male defines the traffic distribution of random matrices, which is richer than the *-distribution of free probability. She shows how the knowledge of the individual traffic distributions of...Loe edasi...
Bleher and Silva consider the normal matrix model with cubic plus linear potential, and in order to regularize the model, follow Elbau and Felder and introduce a cut-off. In the large size limit, they say, the eigenvalues of the model accumulate...Loe edasi...
Large dimensional random matrices (LDRM) with specific patterns arise in econometrics, computer science, mathematics, physics, and statistics. This book provides an easy initiation to LDRM. Through a unified approach, we investigate the existence...Loe edasi...
(Ilmumisaeg: 03-Dec-2020, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781108488082)
Classical statistical tools that handled real-life data have become inadequate upon the emergence of Big Data. Random matrix theory and free calculus introduced here present valuable solutions to the complex challenges posed by large datasets. Real w...Loe edasi...
Considers 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....Loe edasi...
(Ilmumisaeg: 01-Sep-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470452803)
The 2017 Park City Mathematics Institute summer school focused on developments in random matrix theory and interactive particle systems during the previous decade. Notes from the 10 lectures discuss such aspects as the semicircle law and beyond:...Loe edasi...
(Ilmumisaeg: 01-Aug-2019, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781108419529)
This book provides a broad overview of foundational results and recent progress in the study of random matrices from the classical compact groups. Designed to present a complete picture to researchers of different fields, the material makes connectio...Loe edasi...
Using the asymptotic analysis of Dyson-Schwinger (or loop) equations, Guionnet deals with strongly interacting systems of large numbers in which the interaction overcomes entropy. More specifically, she shows how to use these techniques to derive...Loe edasi...
Grigoryan presents a textbook for a one-semester lecture course introducing the discrete Laplace operator on locally finite graphs to graduate or undergraduate students with a background in linear algebra, analysis, and elementary probability th...Loe edasi...
(Ilmumisaeg: 29-Oct-2018, Hardback, Kirjastus: Institute of Physics Publishing, ISBN-13: 9780750317245)
Written for postgraduate students as a pedagogical introductionto string theory. Extending beyond anintroductory review of the subject, it encompasses key analytical and numericaltools, as well as useful physical models in applications. The book is a...Loe edasi...
Mexican mathematicians, many of them working abroad, highlight the contributions they and others like them have made to pure and applied mathematics. Among the topics are the Atiyah-Singer cobordism invariance and the tangent groupoid, multiplica...Loe edasi...
This book focuses on the limit spectral distribution (LSD) of patterned random matrices and provides a comprehensive variety of LSD results. It is accessible to first or second years Masters students and uses very elementary techniques. It is suita...Loe edasi...
(Ilmumisaeg: 01-Feb-2018, Other book format, Kirjastus: Birkhauser Boston Inc, ISBN-13: 9781493969425)
This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communication...Loe edasi...
Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pe...Loe edasi...
