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The Dynkin Festschrift

Author: Mark I. Freidlin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 433

ISBN-13: 1461202795

Onishchik, A. A. Kirillov, and E. B. Vinberg, who obtained their first results on Lie groups in Dynkin's seminar. At a later stage, the work of the seminar was greatly enriched by the active participation of 1. 1. Pyatetskii Shapiro. As already noted, Dynkin started to work in probability as far back as his undergraduate studies. In fact, his first published paper deals with a problem arising in Markov chain theory. The most significant among his earliest probabilistic results concern sufficient statistics. In [15] and [17], Dynkin described all families of one-dimensional probability distributions admitting non-trivial sufficient statistics. These papers have considerably influenced the subsequent research in this field. But Dynkin's most famous results in probability concern the theory of Markov processes. Following Kolmogorov, Feller, Doob and Ito, Dynkin opened a new chapter in the theory of Markov processes. He created the fundamental concept of a Markov process as a family of measures corresponding to var ious initial times and states and he defined time homogeneous processes in terms of the shift operators ()t. In a joint paper with his student A.

The Dynkin Festschrift

Author: Mark I Freidlin

Publisher:

Published: 1995-01-01

Total Pages: 452

ISBN-13: 9781461202806

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The Dynkin Festschrift

Author: Mark Iosifovich Freĭdlin

Publisher: Birkhauser

Published: 1994-01-01

Total Pages: 413

ISBN-13: 9783764336967

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Festschrift In Honor Of The C N Yang Centenary, A: Scientific Papers

Author: Fong-ching Chen

Publisher: World Scientific

Published: 2022-08-03

Total Pages: 638

ISBN-13: 9811264163

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C N Yang is a towering figure of science who has significantly extended human understanding of nature, headed one of the foremost research institutes in physics for three decades, and made great contributions to the advances of Chinese physics. This Festschrift in honor of Professor Yang on his centenary birthday consists of two volumes: Volume A consists of general essays concerning Professor Yang the person, as well as the authors' impressions and reminiscences of him, which are mainly (but not exclusively) in Chinese. This volume, that is Volume B, consists of over thirty scientific papers in English on subjects broadly related to his work and contributed by two different groups: Professor Yang's colleagues, friends, and former students; and graduates from the Tsinghua University Physics Department or Institute for Advanced Study, who have come under the influence of Professor Yang and are now established in their own careers; review papers presented at a Symposium held in his honor in 2021 are also included. It is hoped that this Festschrift can serve as a fit tribute to Professor Yang's lifelong achievements, and also increase public awareness of the many different sides of this giant — his life, his personality, his work, his influence, as well as what he strives for.

Probabilistic Behavior of Harmonic Functions

Author: Rodrigo Banuelos

Publisher: Springer Science & Business Media

Published: 1999-08

Total Pages: 230

ISBN-13: 9783764360627

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Harmonic analysis and probability have long enjoyed a mutually beneficial relationship that has been rich and fruitful. This monograph, aimed at researchers and students in these fields, explores several aspects of this relationship. The primary focus of the text is the nontangential maximal function and the area function of a harmonic function and their probabilistic analogues in martingale theory. The text first gives the requisite background material from harmonic analysis and discusses known results concerning the nontangential maximal function and area function, as well as the central and essential role these have played in the development of the field.The book next discusses further refinements of traditional results: among these are sharp good-lambda inequalities and laws of the iterated logarithm involving nontangential maximal functions and area functions. Many applications of these results are given. Throughout, the constant interplay between probability and harmonic analysis is emphasized and explained. The text contains some new and many recent results combined in a coherent presentation.

Peter Suranyi 87th Birthday Festschrift: A Life In Quantum Field Theory

Author: Philip C Argyres

Publisher: World Scientific

Published: 2022-10-25

Total Pages: 354

ISBN-13: 9811262365

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This is a Festschrift compiled in honor of Professor Peter Suranyi, Professor Emeritus, University of Cincinnati. In a long career spanning almost 60 years, Professor Suranyi has made valuable contributions in many areas of theoretical physics, especially in the fields of strong interaction physics, quantum field theory, particle physics, statistical mechanics, lattice field theory, condensed matter physics, and particle cosmology. His important contributions range from analysis of Regge poles in quantum field theory, work on Reggeon field theory, developing improved perturbation theory methods and numerical simulation techniques, analyzing rigidity percolation and molecular clustering in network glasses, to his recent work on Bose condensate dark matter. This volume is our way of paying tribute to his scientific achievements, mentoring prowess, and his rigorous outlook on theoretical physics.

Seminar on Stochastic Analysis, Random Fields and Applications

Author: Erwin Bolthausen

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 392

ISBN-13: 3034870264

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Pure and applied stochastic analysis and random fields form the subject of this book. The collection of articles on these topics represent the state of the art of the research in the field, with particular attention being devoted to stochastic models in finance. Some are review articles, others are original papers; taken together, they will apprise the reader of much of the current activity in the area.

Fractal Geometry and Stochastics

Author: Christoph Bandt

Publisher: Birkhäuser

Published: 2013-11-27

Total Pages: 250

ISBN-13: 3034877552

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Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.

Schrödinger Diffusion Processes

Author: Robert Aebi

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 196

ISBN-13: 3034890273

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In 1931 Erwin Schrödinger considered the following problem: A huge cloud of independent and identical particles with known dynamics is supposed to be observed at finite initial and final times. What is the "most probable" state of the cloud at intermediate times? The present book provides a general yet comprehensive discourse on Schrödinger's question. Key roles in this investigation are played by conditional diffusion processes, pairs of non-linear integral equations and interacting particles systems. The introductory first chapter gives some historical background, presents the main ideas in a rather simple discrete setting and reveals the meaning of intermediate prediction to quantum mechanics. In order to answer Schrödinger's question, the book takes three distinct approaches, dealt with in separate chapters: transformation by means of a multiplicative functional, projection by means of relative entropy, and variation of a functional associated to pairs of non-linear integral equations. The book presumes a graduate level of knowledge in mathematics or physics and represents a relevant and demanding application of today's advanced probability theory.

Trees

Author: Brigitte Chauvin

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 158

ISBN-13: 3034890370

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For the first time, the very different aspects of trees are presented here in one volume. Articles by specialists working in different areas of mathematics cover disordered systems, algorithms, probability, and p-adic analysis. Researchers and graduate students alike will benefit from the clear expositions.