Frontiers in Analysis and Probability

In the Spirit of the Strasbourg-Zürich Meetings

Editors: Anantharaman, Nalini, Nikeghbali, Ashkan, Rassias, Michael Th. (Eds.)

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  • Discusses open problems and new directions
  • Presents state of the art in highly applicable areas of research
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About this book

The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory.  Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes the study of monochromatic random waves defined for general Riemannian manifolds, notions of entropy related to a compact manifold of negative curvature, interacting electrons in a random background, lp-cohomology (in degree one) of a graph and its connections with other topics, limit operators for circular ensembles, polyharmonic functions for finite graphs and Markov chains, the ETH-Approach to Quantum Mechanics, 2-dimensional quantum Yang–Mills theory, Gibbs measures of nonlinear Schrödinger equations, interfaces in spectral asymptotics and nodal sets. Contributions in this Work are composed by experts from the international community, who have presented the state-of-the-art research in the corresponding problems treated. This volume is expected to be a valuable resource to both graduate students and research mathematicians working in analysis, probability as well as their interconnections and applications.

About the authors

Nalini Anantharaman is currently the Chair of the mathematics department at the University of Strasbourg. Analysis and mathematical physics are the main focus of Nalini Anantharaman’s research. She has studied chaos in wave propagation (quantum chaos) and, more recently, harmonic analysis on large graphs. She was elected in 2019  a member of the French academy of sciences and has been awarded many prestigious international prizes among which the Salem and Poincare prizes.

Ashkan Nikeghbali  currently holds a Chair of applied mathematics at the institute of mathematics and at the department for banking and finance at the University of Zurich. His fields of interest include probability theory, random matrix theory, analytic number theory and quantitative finance. He also serves on several companies' advisory boards.

Michael Th. Rassias is a Research Fellow at the University of Zürich and a visiting researcher at the Institute for Advanced Study, Princeton. He has received several awards in mathematical problem-solving Olympiads as well as the Notara Prize by the Academy of Athens. His research interests lie in mathematical analysis, analytic number theory and their applications.

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Monochromatic Random Waves for General Riemannian Manifolds

    Pages 1-20

    Canzani, Yaiza

  • A Brief Review of the “ETH-Approach to Quantum Mechanics”

    Pages 21-45

    Fröhlich, Jürg

  • Linear and Nonlinear Harmonic Boundaries of Graphs; An Approach with ℓ p-Cohomology in Degree One

    Pages 47-76

    Gournay, Antoine

  • Polyharmonic Functions for Finite Graphs and Markov Chains

    Pages 77-90

    Hirschler, Thomas (et al.)

  • Interacting Electrons in a Random Medium: A Simple One-Dimensional Model

    Pages 91-242

    Klopp, Frédéric (et al.)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-030-56409-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-030-56408-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Frontiers in Analysis and Probability
Book Subtitle
In the Spirit of the Strasbourg-Zürich Meetings
Editors
  • Nalini Anantharaman
  • Ashkan Nikeghbali
  • Michael Th. Rassias
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-56409-4
DOI
10.1007/978-3-030-56409-4
Hardcover ISBN
978-3-030-56408-7
Edition Number
1
Number of Pages
VII, 449
Number of Illustrations
14 b/w illustrations, 17 illustrations in colour
Topics