Richard F. Bass's Books

Probabilistic Techniques in Analysis

By: Richard F. Bass

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Probabilistic Techniques in Analysis

By: Richard F. Bass

In recent years, there has been an upsurge of interest in using techniques drawn from probability to tackle problems in analysis. These applications arise in subjects such as potential theory, harmonic analysis, singular integrals, and the study of analytic functions. This book presents a modern survey of these methods at the level of a beginning Ph.D. student. Highlights of this book include the construction of the Martin boundary, probabilistic proofs of the boundary Harnack principle, Dahlberg's theorem, a probabilistic proof of Riesz' theorem on the Hilbert transform, and Makarov's theorems on the support of harmonic measure. The author assumes that a reader has some background in basic real analysis, but the book includes proofs of all the results from probability theory and advanced analysis required. Each chapter concludes with exercises ranging from the routine to the difficult. In addition, there are included discussions of open problems and further avenues of research.

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Page Count

408

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387943870

ISBN 13

9780387943879

Stochastic Processes

By: Richard F. Bass

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Stochastic Processes

By: Richard F. Bass

This comprehensive guide to stochastic processes gives a complete overview of the theory and addresses the most important applications. Pitched at a level accessible to beginning graduate students and researchers from applied disciplines, it is both a course book and a rich resource for individual readers. Subjects covered include Brownian motion, stochastic calculus, stochastic differential equations, Markov processes, weak convergence of processes and semigroup theory. Applications include the Black–Scholes formula for the pricing of derivatives in financial mathematics, the Kalman–Bucy filter used in the US space program and also theoretical applications to partial differential equations and analysis. Short, readable chapters aim for clarity rather than full generality. More than 350 exercises are included to help readers put their new-found knowledge to the test and to prepare them for tackling the research literature.

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Page Count

407

Publisher

Cambridge University Press

Published Date

ISBN 10

113950147X

ISBN 13

9781139501477

Diffusions and Elliptic Operators

By: Richard F. Bass

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Diffusions and Elliptic Operators

By: Richard F. Bass

A discussion of the interplay of diffusion processes and partial differential equations with an emphasis on probabilistic methods. It begins with stochastic differential equations, the probabilistic machinery needed to study PDE, and moves on to probabilistic representations of solutions for PDE, regularity of solutions and one dimensional diffusions. The author discusses in depth two main types of second order linear differential operators: non-divergence operators and divergence operators, including topics such as the Harnack inequality of Krylov-Safonov for non-divergence operators and heat kernel estimates for divergence form operators, as well as Martingale problems and the Malliavin calculus. While serving as a textbook for a graduate course on diffusion theory with applications to PDE, this will also be a valuable reference to researchers in probability who are interested in PDE, as well as for analysts interested in probabilistic methods.

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Page Count

240

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387226044

ISBN 13

9780387226040

Serçe Limani

An Eleventh-Century Shipwreck Vol. 1, The Ship and Its Anchorage, Crew, and Passengers

By: George F. Bass,Sheila Matthews,J. Richard Steffy,Frederick H. van Doorninck

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Serçe Limani

An Eleventh-Century Shipwreck Vol. 1, The Ship and Its Anchorage, Crew, and Passengers

By: George F. Bass,Sheila Matthews,J. Richard Steffy,Frederick H. van Doorninck

For almost a millennium, a modest wooden ship lay underwater off the coast of Serçe Limani, Turkey, filled with evidence of trade and objects of daily life. The ship, now excavated by the Institute of Nautical Archaeology at Texas A&M University, trafficked in both the Byzantine and Islamic worlds of its time. The ship is known as “the Glass Wreck” because its cargo included three metric tons of glass cullet, including broken Islamic vessels, and eighty pieces of intact glassware. In addition, it held glazed Islamic bowls, red-ware cooking vessels, copper cauldrons and buckets, wine amphoras, weapons, tools, jewelry, fishing gear, remnants of meals, coins, scales and weights, and more. This first volume of the complete site report introduces the discovery, the methods of its excavation, and the conservation of its artifacts. Chapters cover the details of the ship, its contents, the probable personal possessions of the crew, and the picture of daily shipboard life that can be drawn from the discoveries.

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Page Count

580

Publisher

Texas A&M University Press

Published Date

ISBN 10

0890969477

ISBN 13

9780890969472

Moderate Deviations for the Range of Planar Random Walks

By: Richard F. Bass,Xia Chen,Jay Rosen

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Moderate Deviations for the Range of Planar Random Walks

By: Richard F. Bass,Xia Chen,Jay Rosen

Given a symmetric random walk in ${\mathbb Z}^2$ with finite second moments, let $R_n$ be the range of the random walk up to time $n$. The authors study moderate deviations for $R_n -{\mathbb E}R_n$ and ${\mathbb E}R_n -R_n$. They also derive the corresponding laws of the iterated logarithm.

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Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842870

ISBN 13

9780821842874

Cutting Brownian Paths

By: Richard F. Bass,Krzysztof Burdzy

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Cutting Brownian Paths

By: Richard F. Bass,Krzysztof Burdzy

A long open problem in probability theory has been the following: Can the graph of planar Brownian motion be split by a straight line? In this volume, the authors provide a solution, discuss related works, and present a number of open problems.

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Page Count

113

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809687

ISBN 13

9780821809686

Flash 5 Cartoons and Games F/x & Design

By: Bill Turner,James Robertson,Richard Bazley

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Flash 5 Cartoons and Games F/x & Design

By: Bill Turner,James Robertson,Richard Bazley

Covering Flash 5 from a cartoon and gaming aspect. Learn how to cohesively pull together and create all the necessary elements for an entertaining cartoon show. Create cartoon characters for television and music videos; then, discover how to use those cartoon elements when scripting and programming interactive games on the Internet. This book includes a CD-ROM with complete a full-length cartoon show and source codes for several games. With Flash 5 Cartoons and Games f/x and Design, you will go beyond the general description of the various Flash tools and discover what can be done with them!

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Page Count

372

Published Date

ISBN 10

1576109585

ISBN 13

9781576109588

Serçe Limanı

An Eleventh-century Shipwreck

By: George F. Bass,Sheila Matthews,J. Richard Steffy,Frederick H. van Doorninck, Jr.

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Serçe Limanı

An Eleventh-century Shipwreck

By: George F. Bass,Sheila Matthews,J. Richard Steffy,Frederick H. van Doorninck, Jr.

Serce Limani or -the Glass Wreck, - so called because its cargo included three metric tons of glass cullet, trafficked in both the Byzantine and Islamic worlds of its time. This first volume of the complete site report introduces the discovery, the methods of its excavation, the conservation of its artifacts, and the picture of daily shipboard life that can be drawn from this underwater museum.

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Page Count

1154

Publisher

Texas A&M University Press

Published Date

ISBN 10

1603446516

ISBN 13

9781603446518

String Explorer, Book 1

By: Andrew H. Dabczynski,Richard Meyer,Bob Phillips

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String Explorer, Book 1

By: Andrew H. Dabczynski,Richard Meyer,Bob Phillips

Alfred and Highland/Etling are taking a brand-new approach to string instruction that promises to grab and hold every student's attention---String Explorer! Join the adventures of Arco Dakota and Rosalyn Le Bow as they guide your students along the path to successful string playing with the most exciting, yet systematic and logically sequenced instruction of its kind.

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Page Count

292

Publisher

Alfred Music

ISBN 10

1457417324

ISBN 13

9781457417320

The Magical and Ritual Use of Perfumes

By: Richard Alan Miller,Iona Miller

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The Magical and Ritual Use of Perfumes

By: Richard Alan Miller,Iona Miller

Because of their power to elicit specific responses in the body and psyche, perfumes have, through the ages, occupied an important part in ritual. The Magical and Ritual Use of Perfumes shows how scents can become the very “essence of magic,” providing direct access to the emotional centers of the brain and memory.

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Page Count

194

Publisher

Inner Traditions / Bear & Co

Published Date

ISBN 10

0892812109

ISBN 13

9780892812103

Quantum Linear Groups and Representations of $GL_n({\mathbb F}_q)$

By: Jonathan Brundan,Richard Dipper,Aleksandr Sergeevich Kleshchëv

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Quantum Linear Groups and Representations of $GL_n({\mathbb F}_q)$

By: Jonathan Brundan,Richard Dipper,Aleksandr Sergeevich Kleshchëv

We give a self-contained account of the results originating in the work of James and the second author in the 1980s relating the representation theory of GL[n(F[q) over fields of characteristic coprime to q to the representation theory of "quantum GL[n" at roots of unity. The new treatment allows us to extend the theory in several directions. First, we prove a precise functorial connection between the operations of tensor product in quantum GL[n and Harish-Chandra induction in finite GL[n. This allows us to obtain a version of the recent Morita theorem of Cline, Parshall and Scott valid in addition for p-singular classes. From that we obtain simplified treatments of various basic known facts, such as the computation of decomposition numbers and blocks of GL[n(F[q) from knowledge of the same for the quantum group, and the non-defining analogue of Steinberg's tensor product theorem. We also easily obtain a new double centralizer property between GL[n(F[[q) and quantum GL[n, generalizing a result of Takeuchi. Finally, we apply the theory to study the affine general linear group, following ideas of Zelevinsky in characteristic zero. We prove results that can be regarded as the modular analogues of Zelevinsky's and Thoma's branching rules. Using these, we obtain a new dimension formula for the irreducible cross-characteristic representations of GL[n(F[q), expressing their dimensions in terms of the characters of irreducible modules over the quantum group.

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Page Count

127

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821826166

ISBN 13

9780821826164

Book's by Richard F. Bass

Probabilistic Techniques in Analysis

Probabilistic Techniques in Analysis

Stochastic Processes

Stochastic Processes

Diffusions and Elliptic Operators

Diffusions and Elliptic Operators

Serçe Limani

Serçe Limani

Moderate Deviations for the Range of Planar Random Walks

Moderate Deviations for the Range of Planar Random Walks

Cutting Brownian Paths

Cutting Brownian Paths

Flash 5 Cartoons and Games F/x & Design

Flash 5 Cartoons and Games F/x & Design

Serçe Limanı

Serçe Limanı

String Explorer, Book 1

String Explorer, Book 1

The Magical and Ritual Use of Perfumes

The Magical and Ritual Use of Perfumes

Quantum Linear Groups and Representations of $GL_n({\mathbb F}_q)$

Quantum Linear Groups and Representations of $GL_n({\mathbb F}_q)$

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