Functional Inequalities Markov Semigroups And Spectral Theory
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Author |
: Fengyu Wang |
Publisher |
: Elsevier |
Total Pages |
: 391 |
Release |
: 2006-04-06 |
ISBN-10 |
: 9780080532073 |
ISBN-13 |
: 0080532071 |
Rating |
: 4/5 (73 Downloads) |
Synopsis Functional Inequalities Markov Semigroups and Spectral Theory by : Fengyu Wang
In this book, the functional inequalities are introduced to describe:(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap;(ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density;(iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.
Author |
: Lunchuan Zhang |
Publisher |
: Springer Nature |
Total Pages |
: 222 |
Release |
: |
ISBN-10 |
: 9789819986682 |
ISBN-13 |
: 9819986680 |
Rating |
: 4/5 (82 Downloads) |
Synopsis Hilbert C*- Modules and Quantum Markov Semigroups by : Lunchuan Zhang
Author |
: Jochen Blath |
Publisher |
: European Mathematical Society |
Total Pages |
: 270 |
Release |
: 2011 |
ISBN-10 |
: 3037190728 |
ISBN-13 |
: 9783037190722 |
Rating |
: 4/5 (28 Downloads) |
Synopsis Surveys in Stochastic Processes by : Jochen Blath
The 33rd Bernoulli Society Conference on Stochastic Processes and Their Applications was held in Berlin from July 27 to July 31, 2009. It brought together more than 600 researchers from 49 countries to discuss recent progress in the mathematical research related to stochastic processes, with applications ranging from biology to statistical mechanics, finance and climatology. This book collects survey articles highlighting new trends and focal points in the area written by plenary speakers of the conference, all of them outstanding international experts. A particular aim of this collection is to inspire young scientists to pursue research goals in the wide range of fields represented in this volume.
Author |
: Feng-yu Wang |
Publisher |
: World Scientific |
Total Pages |
: 392 |
Release |
: 2013-09-23 |
ISBN-10 |
: 9789814452663 |
ISBN-13 |
: 9814452661 |
Rating |
: 4/5 (63 Downloads) |
Synopsis Analysis For Diffusion Processes On Riemannian Manifolds by : Feng-yu Wang
Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.
Author |
: Luca Lorenzi |
Publisher |
: CRC Press |
Total Pages |
: 572 |
Release |
: 2016-10-04 |
ISBN-10 |
: 9781315355627 |
ISBN-13 |
: 1315355620 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Analytical Methods for Kolmogorov Equations by : Luca Lorenzi
The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous operators with unbounded coefficients, which has received great attention. Additionally, this edition is the first to use a unified approach to contain the new results in a singular place.
Author |
: Zhen-qing Chen |
Publisher |
: World Scientific |
Total Pages |
: 618 |
Release |
: 2014-11-27 |
ISBN-10 |
: 9789814596541 |
ISBN-13 |
: 981459654X |
Rating |
: 4/5 (41 Downloads) |
Synopsis Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju by : Zhen-qing Chen
This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.
Author |
: Feng-Yu Wang |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 135 |
Release |
: 2013-08-13 |
ISBN-10 |
: 9781461479345 |
ISBN-13 |
: 1461479347 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Harnack Inequalities for Stochastic Partial Differential Equations by : Feng-Yu Wang
In this book the author presents a self-contained account of Harnack inequalities and applications for the semigroup of solutions to stochastic partial and delayed differential equations. Since the semigroup refers to Fokker-Planck equations on infinite-dimensional spaces, the Harnack inequalities the author investigates are dimension-free. This is an essentially different point from the above mentioned classical Harnack inequalities. Moreover, the main tool in the study is a new coupling method (called coupling by change of measures) rather than the usual maximum principle in the current literature.
Author |
: Yann Ollivier |
Publisher |
: Cambridge University Press |
Total Pages |
: 317 |
Release |
: 2014-08-07 |
ISBN-10 |
: 9781139993623 |
ISBN-13 |
: 1139993623 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Optimal Transport by : Yann Ollivier
The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory and Applications' held at the Fourier Institute in Grenoble. The event brought together mathematicians from pure and applied mathematics, astrophysics, economics and computer science. Part I of this book is devoted to introductory lecture notes accessible to graduate students, while Part II contains research papers. Together, they represent a valuable resource on both fundamental and advanced aspects of optimal transportation, its applications, and its interactions with analysis, geometry, PDE and probability, urban planning and economics. Topics covered include Ricci flow, the Euler equations, functional inequalities, curvature-dimension conditions, and traffic congestion.
Author |
: Yann Ollivier |
Publisher |
: Cambridge University Press |
Total Pages |
: 317 |
Release |
: 2014-08-07 |
ISBN-10 |
: 9781107689497 |
ISBN-13 |
: 110768949X |
Rating |
: 4/5 (97 Downloads) |
Synopsis Optimal Transportation by : Yann Ollivier
Lecture notes and research papers on optimal transportation, its applications, and interactions with other areas of mathematics.
Author |
: Vladimir I. Bogachev |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 495 |
Release |
: 2015-12-17 |
ISBN-10 |
: 9781470425586 |
ISBN-13 |
: 1470425580 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Fokker-Planck-Kolmogorov Equations by : Vladimir I. Bogachev
This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.