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Advances in Disordered Systems, Random Processes and Some Applications

$137.00 USD

Mario Rasetti, Emanuela Merelli, Elena Agliari, Francesco Guerra, Louis-Pierre Arguin, Federico Camia, Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart
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  • Date Published: December 2016
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781316868140

$ 137.00 USD
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About the Authors
  • This book offers a unified perspective on the study of complex systems for scholars of various disciplines, including mathematics, physics, computer science, biology, economics and social science. The contributions, written by leading scientists, cover a broad set of topics, including new approaches to data science, the connection between scaling limits and conformal field theories, and new ideas on the Legendre duality approach in statistical mechanics of disordered systems. The volume moreover explores results on extreme values of correlated random variables and their connection with the Riemann zeta functions, the relation between diffusion phenomena and complex systems, and the Brownian web, which appears as the universal scaling limit of several probabilistic models. Written for researchers from a broad range of scientific fields, this text examines a selection of recent developments in complex systems from a rigorous perspective.

    • Includes accounts of recent probabilistic methods used to investigate scaling limits from discrete to continuum models
    • Maths and physics are presented side by side in order to solve current open problems in disordered systems
    • Readers will be exposed to an up-to-date treatment of large databases, as well as to their theoretical modelisation
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    Product details

    • Date Published: December 2016
    • format: Adobe eBook Reader
    • isbn: 9781316868140
    • contains: 44 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Topological field theory of data: mining data beyond complex networks? Mario Rasetti and Emanuela Merelli
    2. A random walk in diffusion phenomena and statistical mechanics Elena Agliari
    3. Legendre structures in statistical mechanics for ordered and disordered systems Francesco Guerra
    4. Extrema of log-correlated random variables: principles and examples Louis-Pierre Arguin
    5. Scaling limits, Brownian loops and conformal fields Federico Camia
    6. The Brownian web, the Brownian net, and their universality Emmanuel Schertzer, Rongfeng Sun and Jan M. Swart
    Index.

  • Editors

    Pierluigi Contucci, Università di Bologna
    Pierluigi Contucci is Full Professor of Mathematical Physics at the University of Bologna. His research interests are mathematical physics and statistical mechanics and its applications. He is a member of the Istituto Cattaneo, Bologna, and in 2000 received the Schloessman Award from the Max Planck Society.

    Cristian Giardinà, Università degli Studi di Modena, Italy
    Cristian Giardinà is Professor of Mathematical Physics at the University of Modena and Reggio Emilia, and currently also Visiting Full Professor of Probability at Delft University. His research interests are mathematical statistical physics and probability theory.

    Contributors

    Mario Rasetti, Emanuela Merelli, Elena Agliari, Francesco Guerra, Louis-Pierre Arguin, Federico Camia, Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart

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