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Author :
Publisher :
ISBN 13 :
Total Pages : 1244 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 1999 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald Andrew Dawson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821810637
Total Pages : 492 pages
Book Rating : 4.8/5 (16 download)
Download or read book Stochastic Models written by Donald Andrew Dawson and published by American Mathematical Soc.. This book was released on 2000 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the refereed proceedings of the International Conference on Stochastic Models held in Ottawa (ON, Canada) in honor of Professor Donald A. Dawson. Contributions to the volume were written by students and colleagues of Professor Dawson, many of whom are eminent researchers in their own right. A main theme of the book is the development and study of the Dawson-Watanabe "superprocess", a fundamental building block in modelling interaction particle systems undergoing reproduction and movement. The volume also contains an excellent review article by Professor Dawson and a complete list of his work. This comprehensive work offers a wide assortment of articles on Markov processes, branching processes, mathematical finance, filtering, queueing networks, time series, and statistics. It should be of interest to a broad mathematical audience.
Author : Janusz Mierczynski
Publisher : CRC Press
ISBN 13 : 9781584888963
Total Pages : 336 pages
Book Rating : 4.8/5 (889 download)
Download or read book Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications written by Janusz Mierczynski and published by CRC Press. This book was released on 2008-03-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The text contains many new results and considers existing results from a fresh perspective. Taking a clear, unified, and self-contained approach, the authors first develop the abstract general theory in the framework of weak solutions, before turning to cases of random and nonautonomous equations. They prove that time dependence and randomness do not reduce the principal spectrum and Lyapunov exponents of nonautonomous and random parabolic equations. The book also addresses classical Faber–Krahn inequalities for elliptic and time-periodic problems and extends the linear theory for scalar nonautonomous and random parabolic equations to cooperative systems. The final chapter presents applications to Kolmogorov systems of parabolic equations. By thoroughly explaining the spectral theory for nonautonomous and random linear parabolic equations, this resource reveals the importance of the theory in examining nonlinear problems.
Author : Tomasz Komorowski
Publisher : Springer Science & Business Media
ISBN 13 : 364229880X
Total Pages : 494 pages
Book Rating : 4.6/5 (422 download)
Download or read book Fluctuations in Markov Processes written by Tomasz Komorowski and published by Springer Science & Business Media. This book was released on 2012-07-05 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using the time symmetry properties of the Markov processes, the book develops the techniques that allow us to deal with infinite dimensional models that appear in statistical mechanics and engineering (interacting particle systems, homogenization in random environments, and diffusion in turbulent flows, to mention just a few applications). The first part contains a detailed exposition of the method, and can be used as a text for graduate courses. The second concerns application to exclusion processes, in which the duality methods are fully exploited. The third part is about the homogenization of diffusions in random fields, including passive tracers in turbulent flows (including the superdiffusive behavior). There are no other books in the mathematical literature that deal with this kind of approach to the problem of the central limit theorem. Hence, this volume meets the demand for a monograph on this powerful approach, now widely used in many areas of probability and mathematical physics. The book also covers the connections with and application to hydrodynamic limits and homogenization theory, so besides probability researchers it will also be of interest also to mathematical physicists and analysts.
Author : Gary M. Lieberman
Publisher : World Scientific
ISBN 13 : 9789810228835
Total Pages : 472 pages
Book Rating : 4.2/5 (288 download)
Download or read book Second Order Parabolic Differential Equations written by Gary M. Lieberman and published by World Scientific. This book was released on 1996 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.
Author : Institute of Mathematical Statistics
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.3/5 (512 download)
Download or read book Bulletin - Institute of Mathematical Statistics written by Institute of Mathematical Statistics and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.3/5 (91 download)
Download or read book Bulletin of the Polish Academy of Sciences written by and published by . This book was released on 2005 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claude Le Bris
Publisher : de Gruyter
ISBN 13 : 9783110633139
Total Pages : 154 pages
Book Rating : 4.6/5 (331 download)
Download or read book Parabolic Equations with Irregular Data and Related Issues written by Claude Le Bris and published by de Gruyter. This book was released on 2019-06-17 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.
Author : O. Diekmann
Publisher : Springer
ISBN 13 : 3540481702
Total Pages : 274 pages
Book Rating : 4.5/5 (44 download)
Download or read book Mathematics Inspired by Biology written by O. Diekmann and published by Springer. This book was released on 2006-11-15 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997. This volume presents five series of six lectures each. The common theme is the role of structure in shaping transient and ultimate dynamics. But the type of structure ranges from spatial (hadeler and maini in the deterministic setting, Durrett in the stochastic setting) to physiological (Diekmann) and order (Smith). Each contribution sketches the present state of affairs while, by including some wishful thinking, pointing at open problems that deserve attention.
Author :
Publisher :
ISBN 13 :
Total Pages : 1264 pages
Book Rating : 4.3/5 (243 download)
Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1074 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : Gregory F. Lawler
Publisher : American Mathematical Soc.
ISBN 13 : 0821848291
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)
Download or read book Random Walk and the Heat Equation written by Gregory F. Lawler and published by American Mathematical Soc.. This book was released on 2010-11-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation and considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equations and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. This first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.
Author : Shigeo Kida
Publisher : Springer Science & Business Media
ISBN 13 : 1402041810
Total Pages : 360 pages
Book Rating : 4.4/5 (2 download)
Download or read book IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics written by Shigeo Kida and published by Springer Science & Business Media. This book was released on 2006-05-05 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary vortices – those tubular swirling vortical structures with concentrated vorticity commonly observed in various kinds of turbulent flows – play key roles in turbulence dynamics (e.g. enhancement of mixing, diffusion and resistance) and characterize turbulence statistics (e.g. intermittency). Because of their dynamical importance, manipulation of elementary vortices is expected to be effective and useful in turbulence control as well as in construction of turbulence modeling. The most advanced research works on elementary vortices and related problems were presented and discussed at the IUTAM Symposium in Kyoto, Japan, 26-28 October 2004. This book contains 40 contributions presented there, the subjects of which cover vortex dynamics, coherent structures, chaotic advection and mixing, statistical properties of turbulence, rotating and stratified turbulence, instability and transition, dynamics of thin vortices, finite-time singularity, and superfluid turbulence. The book should be useful for readers of graduate and advanced levels in the field of fluid turbulence.
Author : Michel Métivier
Publisher : Springer
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (91 download)
Download or read book Stochastic Differential Systems written by Michel Métivier and published by Springer. This book was released on 1985 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : International Federation for Information Processing
Publisher : North Holland
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.:/5 (43 download)
Download or read book IFIP Bibliography, 1960-1985 written by International Federation for Information Processing and published by North Holland. This book was released on 1987 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1985 IFIP celebrated its silver jubilee and a quarter century of IFIP publications. This IFIP Bibliography lists and categorizes all of the published papers presented at IFIP conferences and congresses as well as further papers published in the name of IFIP in the first 25 years of existence. The Bibliography describes a comprehensive family of papers in the field of computer sciences, or informatics; it can be seen as an abstract monument for the volunteers who organized the events, composed the programmes, gave the papers and discussed and finally submitted the manuscripts; and it provides an overview of a quarter century of development, not only of a science and a profession, but also of a vocabulary and a language. The indexes list papers according to several different categories, enabling the reader to readily locate his source of interest. These indexes include listing by subject, by editor, according to the date of the event at which they were presented, under the name of the city in which the event was held and according to their TC/WG categorisation. Informatics is still a science of the future: much has been achieved, much more remains to be done, not only for the purely technical advance, but also for its humanistic and societal dimensions. This bibliography, therefore, does not close the subject - it is merely a milestone on a long way to go.
Author : Scott Armstrong
Publisher : Springer
ISBN 13 : 3030155455
Total Pages : 518 pages
Book Rating : 4.0/5 (31 download)
Download or read book Quantitative Stochastic Homogenization and Large-Scale Regularity written by Scott Armstrong and published by Springer. This book was released on 2019-05-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This self-contained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.
