© 2017

Stochastic Geometric Mechanics

CIB, Lausanne, Switzerland, January-June 2015

  • Sergio Albeverio
  • Ana Bela Cruzeiro
  • Darryl Holm
Conference proceedings CIB-SGM 2015

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 202)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Alexis Arnaudon, Alex L. De Castro, Darryl D. Holm
    Pages 1-12
  3. François Gay-Balmaz, Vakhtang Putkaradze
    Pages 57-75
  4. Bas Janssens, Karl-Hermann Neeb
    Pages 101-114
  5. Thierry Lévy, Ambar Sengupta
    Pages 115-167
  6. Gregory A. Chechkin
    Pages 191-218
  7. L. Bittner, H. Gottschalk, M. Gröger, N. Moch, M. Saadi, S. Schmitz
    Pages 219-255
  8. Back Matter
    Pages 257-265

About these proceedings


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 in different 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. 


58Exx, 60Hxx, 49Sxx, 35Rxx, 70Exx, 76Dxx, 81Sxx stochastic geometric mechanics random dynamical systems stochastic differential equations Gauge theories homogenization theory shape optimization fluid dynamics CIB

Editors and affiliations

  • Sergio Albeverio
    • 1
  • Ana Bela Cruzeiro
    • 2
  • Darryl Holm
    • 3
  1. 1.Institute of Applied Mathematics and HCMUniversity of BonnBonnGermany
  2. 2.Instituto Superior TécnicoUniversity of LisbonLisbonPortugal
  3. 3.Department of MathematicsImperial College LondonLondonUnited Kingdom

Bibliographic information