Editors:
- Develops a synergistic framework of relationships among the key mathematical fields in the new science of stochastic geometric mechanics
- Provides multiple pathways of communication and learning that lead from stochastic analysis to fluid dynamics, to coadjoint motion in geometric mechanics, including nonholonomic constraints and gauge theory, and to invariant probability measures for stochastic dynamics on Lie groups
- Communicates key ideas in the context of simple, well-chosen examples in each of the components of stochastic geometric mechanics that were presented at the CIB program
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 202)
Conference series link(s): CIB-SGM: Workshop Classic and Stochastic Geometric Mechanics
Conference proceedings info: CIB-SGM 2015.
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Table of contents (10 papers)
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Front Matter
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Back Matter
About this book
Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view.
The lectures were given by leading specialists indifferent areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics.
Editors and Affiliations
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Institute of Applied Mathematics and HCM, University of Bonn, Bonn, Germany
Sergio Albeverio
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Instituto Superior Técnico, University of Lisbon, Lisbon, Portugal
Ana Bela Cruzeiro
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Department of Mathematics, Imperial College London, London, United Kingdom
Darryl Holm
Bibliographic Information
Book Title: Stochastic Geometric Mechanics
Book Subtitle: CIB, Lausanne, Switzerland, January-June 2015
Editors: Sergio Albeverio, Ana Bela Cruzeiro, Darryl Holm
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-63453-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-63452-4Published: 20 November 2017
Softcover ISBN: 978-3-319-87560-6Published: 31 August 2018
eBook ISBN: 978-3-319-63453-1Published: 17 November 2017
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XVI, 265
Number of Illustrations: 15 b/w illustrations, 10 illustrations in colour
Topics: Geometry, Probability Theory and Stochastic Processes, Calculus of Variations and Optimal Control; Optimization, Mathematical Applications in the Physical Sciences, Partial Differential Equations