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Author : Donald L. Burkholder
Publisher : Springer
ISBN 13 : 3540463194
Total Pages : 262 pages
Book Rating : 4.5/5 (44 download)
Download or read book Ecole d'Ete de Probabilites de Saint-Flour XIX - 1989 written by Donald L. Burkholder and published by Springer. This book was released on 2006-11-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dominique Bakry
Publisher : Springer
ISBN 13 : 3540485686
Total Pages : 429 pages
Book Rating : 4.5/5 (44 download)
Download or read book Lectures on Probability Theory written by Dominique Bakry and published by Springer. This book was released on 2006-11-15 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains work-outs of the notes of three 15-hour courses of lectures which constitute surveys on the concerned topics given at the St. Flour Probability Summer School in July 1992. The first course, by D. Bakry, is concerned with hypercontractivity properties and their use in semi-group theory, namely Sobolev and Log Sobolev inequa- lities, with estimations on the density of the semi-groups. The second one, by R.D. Gill, is about statistics on survi- val analysis; it includes product-integral theory, Kaplan- Meier estimators, and a look at cryptography and generation of randomness. The third one, by S.A. Molchanov, covers three aspects of random media: homogenization theory, loca- lization properties and intermittency. Each of these chap- ters provides an introduction to and survey of its subject.
Author : M. Emery
Publisher : Springer
ISBN 13 : 9783540677369
Total Pages : 349 pages
Book Rating : 4.6/5 (773 download)
Download or read book Lectures on Probability Theory and Statistics written by M. Emery and published by Springer. This book was released on 2000-06-26 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. The reader is expected to have a graduate level in probability theory and statistics. This book is of interest to PhD students in probability and statistics or operators theory as well as for researchers in all these fields. The series of lecture notes from the Saint-Flour Probability Summer School can be considered as an encyclopedia of probability theory and related fields.
Author : R. M. Dudley
Publisher : Springer
ISBN 13 : 3540391096
Total Pages : 407 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ecole d'Ete de Probabilites de Saint-Flour XII, 1982 written by R. M. Dudley and published by Springer. This book was released on 2006-12-08 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sirakov Boyan
Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5396 pages
Book Rating : 4.8/5 (132 download)
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author : Paul-Louis Diaconis Persi Hennequin
Publisher :
ISBN 13 : 9783662190418
Total Pages : 472 pages
Book Rating : 4.1/5 (94 download)
Download or read book Ecole D'Ete de Probabilites de Saint-Flour XV-XVII, 1985-87 written by Paul-Louis Diaconis Persi Hennequin and published by . This book was released on 2014-01-15 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Hoffmann-Jörgensen
Publisher : Springer
ISBN 13 : 3540373071
Total Pages : 459 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ecole d'Ete de Probabilites de Saint-Flour VI, 1976 written by J. Hoffmann-Jörgensen and published by Springer. This book was released on 2006-11-14 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Burgess Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1441972455
Total Pages : 729 pages
Book Rating : 4.4/5 (419 download)
Download or read book Selected Works of Donald L. Burkholder written by Burgess Davis and published by Springer Science & Business Media. This book was released on 2011-02-18 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book chronicles Donald Burkholder's thirty-five year study of martingales and its consequences. Here are some of the highlights. Pioneering work by Burkholder and Donald Austin on the discrete time martingale square function led to Burkholder and Richard Gundy's proof of inequalities comparing the quadratic variations and maximal functions of continuous martingales, inequalities which are now indispensable tools for stochastic analysis. Part of their proof showed how novel distributional inequalities between the maximal function and quadratic variation lead to inequalities for certain integrals of functions of these operators. The argument used in their proof applies widely and is now called the Burkholder-Gundy good lambda method. This uncomplicated and yet extremely elegant technique, which does not involve randomness, has become important in many parts of mathematics. The continuous martingale inequalities were then used by Burkholder, Gundy, and Silverstein to prove the converse of an old and celebrated theorem of Hardy and Littlewood. This paper transformed the theory of Hardy spaces of analytic functions in the unit disc and extended and completed classical results of Marcinkiewicz concerning norms of conjugate functions and Hilbert transforms. While some connections between probability and analytic and harmonic functions had previously been known, this single paper persuaded many analysts to learn probability. These papers together with Burkholder's study of martingale transforms led to major advances in Banach spaces. A simple geometric condition given by Burkholder was shown by Burkholder, Terry McConnell, and Jean Bourgain to characterize those Banach spaces for which the analog of the Hilbert transform retains important properties of the classical Hilbert transform. Techniques involved in Burkholder's usually successful pursuit of best constants in martingale inequalities have become central to extensive recent research into two well- known open problems, one involving the two dimensional Hilbert transform and its connection to quasiconformal mappings and the other a conjecture in the calculus of variations concerning rank-one convex and quasiconvex functions. This book includes reprints of many of Burkholder's papers, together with two commentaries on his work and its continuing impact.
Author :
Publisher : Elsevier
ISBN 13 : 0080532802
Total Pages : 1017 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2001-08-15 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.
Author : Denis Talay
Publisher : Springer
ISBN 13 : 3540685138
Total Pages : 312 pages
Book Rating : 4.5/5 (46 download)
Download or read book Probabilistic Models for Nonlinear Partial Differential Equations written by Denis Talay and published by Springer. This book was released on 2006-11-13 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a three-fold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmann-like and Navier-Stokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers.
Author : Nicola Bellomo
Publisher : Springer Science & Business Media
ISBN 13 : 1461205131
Total Pages : 429 pages
Book Rating : 4.4/5 (612 download)
Download or read book Modeling in Applied Sciences written by Nicola Bellomo and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Self-contained introduction to kinetic models * Becker–Doring equations * Nonlinear kinetic models with chemical reactions * Kinetic traffic-flow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.
Author : Helge Holden
Publisher : Springer Science & Business Media
ISBN 13 : 3642253601
Total Pages : 369 pages
Book Rating : 4.6/5 (422 download)
Download or read book Nonlinear Partial Differential Equations written by Helge Holden and published by Springer Science & Business Media. This book was released on 2012-01-15 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering. This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used to model phenomena of increasing complexity, and in areas that have traditionally been outside the realm of mathematics. New analytical tools and numerical methods are dramatically improving our understanding of nonlinear models. Nonlinearity gives rise to novel effects reflected in the appearance of shock waves, turbulence, material defects, etc., and offers challenging mathematical problems. On the other hand, new mathematical developments provide new insight in many applications. These proceedings present a selection of the latest exciting results by world leading researchers.
Author : Urszula Ledzewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461441773
Total Pages : 426 pages
Book Rating : 4.4/5 (614 download)
Download or read book Mathematical Methods and Models in Biomedicine written by Urszula Ledzewicz and published by Springer Science & Business Media. This book was released on 2012-10-21 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.
Author : Samuel N. Cohen
Publisher : Springer Nature
ISBN 13 : 3030222853
Total Pages : 300 pages
Book Rating : 4.0/5 (32 download)
Download or read book Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications written by Samuel N. Cohen and published by Springer Nature. This book was released on 2019-08-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.
Author : K. David Elworthy
Publisher : Springer Science & Business Media
ISBN 13 : 303460176X
Total Pages : 179 pages
Book Rating : 4.0/5 (346 download)
Download or read book The Geometry of Filtering written by K. David Elworthy and published by Springer Science & Business Media. This book was released on 2010-11-27 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filtering is the science of nding the law of a process given a partial observation of it. The main objects we study here are di usion processes. These are naturally associated with second-order linear di erential operators which are semi-elliptic and so introduce a possibly degenerate Riemannian structure on the state space. In fact, much of what we discuss is simply about two such operators intertwined by a smooth map, the \projection from the state space to the observations space", and does not involve any stochastic analysis. From the point of view of stochastic processes, our purpose is to present and to study the underlying geometric structure which allows us to perform the ltering in a Markovian framework with the resulting conditional law being that of a Markov process which is time inhomogeneous in general. This geometry is determined by the symbol of the operator on the state space which projects to a symbol on the observation space. The projectible symbol induces a (possibly non-linear and partially de ned) connection which lifts the observation process to the state space and gives a decomposition of the operator on the state space and of the noise. As is standard we can recover the classical ltering theory in which the observations are not usually Markovian by application of the Girsanov- Maruyama-Cameron-Martin Theorem. This structure we have is examined in relation to a number of geometrical topics.
Author : François Delarue
Publisher : American Mathematical Society
ISBN 13 : 1470455862
Total Pages : 284 pages
Book Rating : 4.4/5 (74 download)
Download or read book Mean Field Games written by François Delarue and published by American Mathematical Society. This book was released on 2021-12-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures delivered at the 2020 AMS Short Course “Mean Field Games: Agent Based Models to Nash Equilibria,” held January 13–14, 2020, in Denver, Colorado. Mean field game theory offers a robust methodology for studying large systems of interacting rational agents. It has been extraordinarily successful and has continued to develop since its inception. The six chapters that make up this volume provide an overview of the subject, from the foundations of the theory to applications in economics and finance, including computational aspects. The reader will find a pedagogical introduction to the main ingredients, from the forward-backward mean field game system to the master equation. Also included are two detailed chapters on the connection between finite games and mean field games, with a pedestrian description of the different methods available to solve the convergence problem. The volume concludes with two contributions on applications of mean field games and on existing numerical methods, with an opening to machine learning techniques.
Author : Alejandro Maass
Publisher : Springer Science & Business Media
ISBN 13 : 140202469X
Total Pages : 232 pages
Book Rating : 4.4/5 (2 download)
Download or read book Dynamics and Randomness II written by Alejandro Maass and published by Springer Science & Business Media. This book was released on 2004-04-30 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the lectures given at the Second Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile, from December 9-13, 2003. This meeting brought together mathematicians, theoretical physicists, theoretical computer scientists, and graduate students interested in fields related to probability theory, ergodic theory, symbolic and topological dynamics. The courses were on: -Some Aspects of Random Fragmentations in Continuous Times; -Metastability of Ageing in Stochastic Dynamics; -Algebraic Systems of Generating Functions and Return Probabilities for Random Walks; -Recurrent Measures and Measure Rigidity; -Stochastic Particle Approximations for Two-Dimensional Navier Stokes Equations; and -Random and Universal Metric Spaces. The intended audience for this book is Ph.D. students on Probability and Ergodic Theory as well as researchers in these areas. The particular interest of this book is the broad areas of problems that it covers. We have chosen six main topics and asked six experts to give an introductory course on the subject touching the latest advances on each problem.
