(Išleidimo metai: 01-May-2025, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470479619)
Symmetries are a common feature of real-world phenomena in many fields, including physics, biology, materials science, and engineering. They can help understand the behavior of a system and optimize engineering designs. Nonlinear effects such as dela...Daugiau...
(Išleidimo metai: 02-Jun-2024, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470476069)
This book consists of a series of papers focusing on the mathematical and computational modeling and analysis of some real-life phenomena in the natural and engineering sciences. The book emphasizes three main themes: (i) the design and analysis of r...Daugiau...
Sangita Jha, Mrinal Kanti Roychowdhury, Saurabh Verma
Serija: Contemporary Mathematics
(Išleidimo metai: 04-May-2024, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470476106)
This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory...Daugiau...
(Išleidimo metai: 03-May-2024, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470476762)
This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle conn...Daugiau...
(Išleidimo metai: 03-May-2024, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470476700)
This textbook offers a rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing phenomena, inviting undergraduates to step into the rich field of symbolic dynamics. Beginning with a brief...Daugiau...
Serija: Encyclopedia of Complexity and Systems Science Series
(Išleidimo metai: 31-Jul-2023, PDF+DRM, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781071623886)
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic...Daugiau...
Serija: Encyclopedia of Complexity and Systems Science Series
(Išleidimo metai: 31-Jul-2023, EPUB+DRM, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781071623886)
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic...Daugiau...
(Išleidimo metai: 11-Apr-2022, EPUB+DRM, Leidėjas: Taylor & Francis Ltd, ISBN-13: 9781000567915)
This book investigates statistical observables for anomalous and nonergodic dynamics, focusing on the dynamical behaviors of particles modelled by non-Brownian stochastic processes in the complex real-world environment.Statistical observables are wid...Daugiau...
(Išleidimo metai: 11-Apr-2022, PDF+DRM, Leidėjas: Taylor & Francis Ltd, ISBN-13: 9781000567908)
This book investigates statistical observables for anomalous and nonergodic dynamics, focusing on the dynamical behaviors of particles modelled by non-Brownian stochastic processes in the complex real-world environment.Statistical observables are wid...Daugiau...
This volume arose from a semester at CIRM-Luminy on "e;Thermodynamic Formalism: Applications to Probability, Geometry and Fractals"e; which brought together leading experts in the area to discuss topical problems and recent progress. It...Daugiau...
This volume arose from a semester at CIRM-Luminy on "e;Thermodynamic Formalism: Applications to Probability, Geometry and Fractals"e; which brought together leading experts in the area to discuss topical problems and recent progress. It...Daugiau...
(Išleidimo metai: 04-Jul-2021, PDF+DRM, Leidėjas: Taylor & Francis Ltd, ISBN-13: 9781000402773)
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors own notes on the subject, which they have been teaching since the 1990s. Over the years they have adde...Daugiau...
(Išleidimo metai: 04-Jul-2021, EPUB+DRM, Leidėjas: Taylor & Francis Ltd, ISBN-13: 9781000402780)
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors own notes on the subject, which they have been teaching since the 1990s. Over the years they have adde...Daugiau...
This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applic...Daugiau...
This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applic...Daugiau...
This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference orga...Daugiau...
This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference orga...Daugiau...
(Išleidimo metai: 11-Jun-2020, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470462871)
Unitary representations of groups play an important role in many subjects, including number theory, geometry, probability theory, partial differential equations, and quantum mechanics. This monograph focuses on dual spaces associated to a group, whic...Daugiau...
Serija: Memoirs of the American Mathematical Society
(Išleidimo metai: 04-Mar-2020, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470456542)
The authors prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean with infinite depth under the action of gravity and su...Daugiau...
Robert J Zimmer, David Fisher, David Fisher, Alexander Lubotzky, Gregory Margulis
(Išleidimo metai: 23-Dec-2019, PDF+DRM, Leidėjas: The University of Chicago Press, ISBN-13: 9780226568270)
Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zim...Daugiau...
Robert J Zimmer, David Fisher, David Fisher, Alexander Lubotzky, Gregory Margulis
(Išleidimo metai: 23-Dec-2019, EPUB+DRM, Leidėjas: The University of Chicago Press, ISBN-13: 9780226568270)
Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zim...Daugiau...
This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the autho...Daugiau...
This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field. Starting with a crash course on ergodic theory,...Daugiau...
This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field. Starting with a crash course on ergodic theory,...Daugiau...
William Goldman, Greg McShane, George Stantchev, Ser Peow Tan
Serija: Memoirs of the American Mathematical Society
(Išleidimo metai: 06-Oct-2019, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470452537)
The automorphisms of a two-generator free group \mathsf F_2 acting on the space of orientation-preserving isometric actions of \mathsf F_2 on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not a...Daugiau...
(Išleidimo metai: 12-Nov-2018, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470450618)
Nilsystems play a key role in the structure theory of measure preserving systems, arising as the natural objects that describe the behavior of multiple ergodic averages. This book is a comprehensive treatment of their role in ergodic theory, covering...Daugiau...
(Išleidimo metai: 05-Nov-2018, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470447311)
Within the subject of topological dynamics, there has been considerable recent interest in systems where the underlying topological space is a Cantor set. Such systems have an inherently combinatorial nature, and seminal ideas of Anatoly Vershik allo...Daugiau...
This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an ex...Daugiau...
This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an ex...Daugiau...
This book discusses mathematical models for various applications in economics, with a focus on non-linear dynamics. Based on the authors over 50 years of active work in the field, the book has been inspired by models from the period between 1920 and...Daugiau...
This book discusses mathematical models for various applications in economics, with a focus on non-linear dynamics. Based on the authors over 50 years of active work in the field, the book has been inspired by models from the period between 1920 and...Daugiau...
Focussing on the mathematics related to the recent proof of ergodicity of the (Weil-Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an importa...Daugiau...
Focussing on the mathematics related to the recent proof of ergodicity of the (Weil-Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an importa...Daugiau...
(Išleidimo metai: 04-Dec-2017, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470440480)
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The au...Daugiau...
This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of th...Daugiau...
(Išleidimo metai: 03-Feb-2017, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470437596)
The aim of this book is to survey the relations between the various kinds of chaos and related notions for continuous interval maps from a topological point of view. The papers on this topic are numerous and widely scattered in the literature; some o...Daugiau...
(Išleidimo metai: 10-Nov-2016, PDF+DRM, Leidėjas: Springer London Ltd, ISBN-13: 9781447172871)
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics.This book contains a broad selection of topics and explores the fundamental ideas of...Daugiau...
Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann
Serija: De Gruyter Textbook
(Išleidimo metai: 10-Oct-2016, PDF+DRM, Leidėjas: De Gruyter, ISBN-13: 9783110439427)
By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infin...Daugiau...
Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann
Serija: De Gruyter Textbook
(Išleidimo metai: 10-Oct-2016, EPUB+DRM, Leidėjas: De Gruyter, ISBN-13: 9783110430851)
By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infin...Daugiau...
This book provides a quantitative framework for the analysis of conflict dynamics and for estimating the economic costs associated with civil wars. The author develops modified Lotka-Volterra equations to model conflict dynamics, to yield realistic r...Daugiau...
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called "e;arithmetic hyperbolic surfaces"e;, the eigenfunctions are of arithmetic nature, and one...Daugiau...
