Topics In Multiple Time Scale Dynamics

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Topics In Multiple Time Scale Dynamics

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Author : Maximilian Engel
language : en
Publisher: American Mathematical Society
Release Date : 2024-10-21

Topics In Multiple Time Scale Dynamics written by Maximilian Engel and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-21 with Mathematics categories.

This volume contains the proceedings of the BIRS Workshop "Topics in Multiple Time Scale Dynamics," held from November 27? December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics is rapidly evolving, marked by significant theoretical breakthroughs and practical applications. The workshop facilitated a convergence of experts from various sub-disciplines, encompassing topics like blow-up techniques for ordinary differential equations (ODEs), singular perturbation theory for stochastic differential equations (SDE), homogenization and averaging, slow-fast maps, numerical approaches, and network dynamics, including their applications in neuroscience and climate science. This volume provides a wide-ranging perspective on the current challenging subjects being explored in the field, including themes such as novel approaches to blowing-up and canard theory in unique contexts, complex multi-scale challenges in PDEs, and the role of stochasticity in multiple-scale systems.

Multiple Time Scale Dynamics

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Author : Christian Kuehn
language : en
Publisher: Springer
Release Date : 2015-02-25

Multiple Time Scale Dynamics written by Christian Kuehn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-25 with Mathematics categories.

This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.

Geometric Function Theory And Related Topics

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Author : Sudeb Mitra
language : en
Publisher: American Mathematical Society
Release Date : 2025-06-03

Geometric Function Theory And Related Topics written by Sudeb Mitra and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-03 with Mathematics categories.

This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21–25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers on complex analysis and provides a broad survey of the present state of research in various aspects of geometric function theory. The papers in this volume reflect the directions of research in different areas of finite- and infinite-dimensional complex analysis and also give the reader an idea of how these branches of complex analysis intersect with other areas of mathematics. They will be suitable for specialists as well as aspiring researchers who are interested in various areas of geometric function theory.

Multiple Time Scales

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Author : Jeremiah U. Brackbill
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Multiple Time Scales written by Jeremiah U. Brackbill and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Multiple Time Scales presents various numerical methods for solving multiple-time-scale problems. The selection first elaborates on considerations on solving problems with multiple scales; problems with different time scales; and nonlinear normal-mode initialization of numerical weather prediction models. Discussions focus on analysis of observations, nonlinear analysis, systems of ordinary differential equations, and numerical methods for problems with multiple scales. The text then examines the diffusion-synthetic acceleration of transport iterations, with application to a radiation hydrodynamics problem and implicit methods in combustion and chemical kinetics modeling. The publication ponders on molecular dynamics and Monte Carlo simulations of rare events; direct implicit plasma simulation; orbit averaging and subcycling in particle simulation of plasmas; and hybrid and collisional implicit plasma simulation models. Topics include basic moment method, electron subcycling, gyroaveraged particle simulation, and the electromagnetic direct implicit method. The selection is a valuable reference for researchers interested in pursuing further research on the use of numerical methods in solving multiple-time-scale problems.

Geometry Groups And Mathematical Philosophy

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Author : Krishnendu Gongopadhyay
language : en
Publisher: American Mathematical Society
Release Date : 2025-02-21

Geometry Groups And Mathematical Philosophy written by Krishnendu Gongopadhyay and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-21 with Mathematics categories.

This volume contains the proceedings of the International Conference on Geometry, Groups and Mathematical Philosophy, held in honor of Ravindra S. Kulkarni's 80th birthday. Talks at the conference touched all the areas that intrigued Ravi Kulkarni over the years. Accordingly, the conference was divided into three parts: differential geometry, symmetries arising in geometric and general mathematics, mathematical philosophy and Indian mathematics. The volume also includes an expanded version of Kulkarni's lecture and a brief autobiography.

From Representation Theory To Mathematical Physics And Back

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Author : Mikhail Khovanov
language : en
Publisher: American Mathematical Society
Release Date : 2025-05-14

From Representation Theory To Mathematical Physics And Back written by Mikhail Khovanov and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-14 with Mathematics categories.

This volume is a proceedings of a workshop at the Simons Center for Geometry and Physics from May 31– June 4, 2022. The workshop highlighted progress in the areas of vertex operator algebras, conformal field theory, categorification, low dimensional topology and representation theory of affine Lie algebras, loop groups, and quantum groups. In the past 40 years, string theory gave rise to the mathematical theory of vertex operator algebras, which led to the construction of representations of affine Lie algebras and the Moonshine module of the Monster group. These mathematical constructions have in turn led to ideas about 3-dimensional quantum gravity. In another direction, the discovery of the Jones polynomial led to a physical construction of 3-dimensional topological quantum field theories (TQFTs), which in turn advanced many mathematical developments in quantum groups and low dimensional topology. Louis Crane and Igor Frenkel introduced the categorification program with the goal of upgrading 3-dimensional TQFTs coming from representation theory of quantum groups to 4-dimensional TQFTs. This idea gave rise to the development of link homologies constructed from representation-theoretic, algebraic-geometric, combinatorial, and physical structures. Articles in this volume present both classical and new results related to these topics. They will be interesting to researchers and graduate students working in mathematical aspects of modern quantum field theory.

Topology At Infinity Of Discrete Groups

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Author : Ross Geoghegan
language : en
Publisher: American Mathematical Society
Release Date : 2025-02-07

Topology At Infinity Of Discrete Groups written by Ross Geoghegan and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-07 with Mathematics categories.

This volume contains the proceedings of the AMS Special Session on Ends and Boundaries of Groups, held in honor of Michael Mihalik's 70th birthday, on April 15–16, 2023, at the University of Cincinnati, Cincinnati, Ohio. The papers cover current topics in geometric group theory and related topology. Four survey papers discuss hyperbolic actions, CAT(0) groups, Thompson-type groups and $Z$-set boundaries. Other papers cover new material related to hyperbolic groups, Poincaré Duality groups, outer automorphism groups, right angled Artin groups, and mapping class groups. Several papers present new results on ends of spaces and related group theory. A notable addition, intended for readers interested in the interplay of topology and group theory, is a self-contained detailed exposition of $Z$-sets and their role in geometric group theory.

Convex And Complex Perspectives On Positivity In Geometry

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Author : Robert J. Berman
language : en
Publisher: American Mathematical Society
Release Date : 2025-01-28

Convex And Complex Perspectives On Positivity In Geometry written by Robert J. Berman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-28 with Mathematics categories.

This volume presents a collection of research articles arising from the conference on “Convex and Complex: Perspectives on Positivity in Geometry,” held in Cetraro, Italy, from October 31–November 4, 2022. The conference celebrated the 70th birthday of Bo Berndtsson and the vitality of current research across complex and convex geometry, as well as interactions between the two areas, all united by the overarching concept of positivity. Positivity plays a central role in complex and convex geometry. It arises from a range of complementary perspectives, as illustrated by the breadth of the papers appearing in this volume, including existence Kähler–Einstein edge metrics, Santaló-type inequalities, curvature of direct images of bundles, extension theorems for holomorphic functions, optimal transport and Hessian manifolds, interpolation and Brunn–Minkowski theory, and non-Archimedean geometry. The format of the workshop was innovative compared to standard conferences in mathematics, with focused 30-minute talks, aimed at stimulating lively discussions and a “flipped classroom” where the audience becomes more engaged and the speaker is not expected to transmit more information than listeners can possibly absorb. Lengthy breaks between talks and a relatively small number of talks allowed for useful time blocks for collaboration. This volume reflects the spirit of the conference, showcasing the vitality of current research in these areas as well as the profound impact of Bo Berndtsson's contributions to the field.

Macdonald Theory And Beyond

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Author : Daniel Orr
language : en
Publisher: American Mathematical Society
Release Date : 2025-03-27

Macdonald Theory And Beyond written by Daniel Orr and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-27 with Mathematics categories.

This volume contains the proceedings of the AMS Special Session on Macdonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, held virtually on March 19?20, 2022. The articles in this volume represent a number of recent developments in the theory of Macdonald polynomials while highlighting some of its many connections to other areas of mathematics. An important common thread throughout the volume is the role of combinatorial formulas?for Macdonald polynomials themselves as well as operations on them arising from rich additional structures. The articles of Haglund, Mandelshtam, and Romero concern the type A Macdonald polynomials, which remain a major focus of the subject due to the depth of their combinatorial theory and the power of their specific applications. For arbitrary type Macdonald polynomials, a new combinatorial formula with pseudo-crystal structure is presented in the article of Lenart, Naito, Nomoto, and Sagaki. Finally, the articles of Saied and Wen take up two important new directions in the subject: the SSV polynomials arising from the study of special functions on metaplectic groups, and the wreath Macdonald polynomials associated with certain symplectic resolutions.

Geometry And Topology Of Aspherical Manifolds

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Author : Luca F. Di Cerbo
language : en
Publisher: American Mathematical Society
Release Date : 2025-03-31

Geometry And Topology Of Aspherical Manifolds written by Luca F. Di Cerbo and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-31 with Mathematics categories.

This volume contains the proceedings of the AMS Special Session on Singer–Hopf Conjecture in Geometry and Topology, held from March 18–19, 2023, at Georgia Institute of Technology, Atlanta, Georgia. It presents a multidisciplinary point of view on the Singer conjecture, the Hopf conjecture, the study on normalized Betti numbers, and several other intriguing questions on the fundamental group and cohomology of aspherical manifolds. This volume highlights many interesting research directions in the study of aspherical manifolds and covers a large collection of problems and conjectures about $L^2$-invariants of aspherical manifolds. It provides a snapshot of contemporary research in mathematics at the interface of geometry and topology, as well as algebraic geometry. The problems are presented from several distinct points of view, and the articles in this volume suggest possible generalizations and bridge a gap with closely related problems in differential geometry, complex algebraic geometry, and geometric topology. The volume can play a role in focusing the attention of the mathematical community on these fascinating problems which continue to resist the siege of geometers and topologists. It is our hope that this volume will become a valuable resource for early career mathematicians interested in these deep and important questions.