Mean Field Games: Cetraro, Italy 2019, Achdou Yves, Cardaliaguet Pierre, Delarue Franзois
Автор: Cardaliaguet Pierre, Delarue Francois, Lasry Jean-Michel Название: The Master Equation and the Convergence Problem in Mean Field Games: (ams-201) ISBN: 0691190712 ISBN-13(EAN): 9780691190716 Издательство: Wiley Рейтинг: Цена: 73920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.
Автор: Buckmaster Tristan, Čanic Sunčica, Constantin Peter Название: Progress in Mathematical Fluid Dynamics: Cetraro, Italy 2019 ISBN: 3030548988 ISBN-13(EAN): 9783030548988 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field.
Автор: de Philippis Guido, Ros-Oton Xavier, Weiss Georg S. Название: Geometric Measure Theory and Free Boundary Problems: Cetraro, Italy 2019 ISBN: 3030657981 ISBN-13(EAN): 9783030657987 Издательство: Springer Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: - Introduction. - A-Free Measures and Applications. - Regularity of Free Boundaries in Obstacle Problems. - Bernoulli Type Free Boundary Problems and Water Waves.
Автор: Gursky Matthew J., Malchiodi Andrea, Fraser Ailana Название: Geometric Analysis: Cetraro, Italy 2018 ISBN: 3030537242 ISBN-13(EAN): 9783030537241 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces.
Автор: Desimone Antonio, Perthame Benoоt, Quarteroni Alfio Название: The Mathematics of Mechanobiology: Cetraro, Italy 2018 ISBN: 3030451968 ISBN-13(EAN): 9783030451967 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents the state of the art in mathematical research on modelling the mechanics of biological systems - a science at the intersection between biology, mechanics and mathematics known as mechanobiology.
Автор: Hieber Matthias, Robinson James C., Shibata Yoshihiro Название: Mathematical Analysis of the Navier-Stokes Equations: Cetraro, Italy 2017 ISBN: 3030362256 ISBN-13(EAN): 9783030362256 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Giovanni P. Galdi, Yoshihiro Shibata: Preface.- Matthias Hieber: Analysis of Viscous Fluid Flows: An Approach by Evolution Equations.- James C. Robinson: Partial regularity for the 3D Navier-Stokes equations.- Yoshihiro Shibata: R Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations.
Автор: Sun Jingrui, Yong Jiongmin Название: Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems ISBN: 3030483053 ISBN-13(EAN): 9783030483050 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control.
Автор: Ren? Carmona; Fran?ois Delarue Название: Probabilistic Theory of Mean Field Games with Applications I ISBN: 3319564374 ISBN-13(EAN): 9783319564371 Издательство: Springer Рейтинг: Цена: 129970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.
Автор: Ren? Carmona; Fran?ois Delarue Название: Probabilistic Theory of Mean Field Games with Applications II ISBN: 3030132595 ISBN-13(EAN): 9783030132590 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions.Volume II tackles the analysis of mean field games in which the players are affected by a common source of noise. The first part of the volume introduces and studies the concepts of weak and strong equilibria, and establishes general solvability results. The second part is devoted to the study of the master equation, a partial differential equation satisfied by the value function of the game over the space of probability measures. Existence of viscosity and classical solutions are proven and used to study asymptotics of games with finitely many players.Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interested researchers in the applied sciences to obtain a clear overview of the state of the art in mean field games.
Автор: Ren? Carmona; Fran?ois Delarue Название: Probabilistic Theory of Mean Field Games with Applications I ISBN: 3030132609 ISBN-13(EAN): 9783030132606 Издательство: Springer Рейтинг: Цена: 129970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.
Автор: Ren? Carmona; Fran?ois Delarue Название: Probabilistic Theory of Mean Field Games with Applications II ISBN: 3319564358 ISBN-13(EAN): 9783319564357 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.
This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population. While it originated in economics, this theory now has applications in areas as diverse as mathematical finance, crowd phenomena, epidemiology, and cybersecurity.
Because mean field games concern the interactions of infinitely many players in an optimal control framework, one expects them to appear as the limit for Nash equilibria of differential games with finitely many players as the number of players tends to infinity. This book rigorously establishes this convergence, which has been an open problem until now. The limit of the system associated with differential games with finitely many players is described by the so-called master equation, a nonlocal transport equation in the space of measures. After defining a suitable notion of differentiability in the space of measures, the authors provide a complete self-contained analysis of the master equation. Their analysis includes the case of common noise problems in which all the players are affected by a common Brownian motion. They then go on to explain how to use the master equation to prove the mean field limit.
This groundbreaking book presents two important new results in mean field games that contribute to a unified theoretical framework for this exciting and fast-developing area of mathematics.
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