Advances in Disordered Systems, Random Processes and Some Applications
Published on 14. December 2016
978-1-316-86814-0 (ISBN)
Description
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.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 18 Halftones, black and white; 26 Line drawings, black and white
File size
6,64 MB
ISBN-13
978-1-316-86814-0 (9781316868140)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Pierluigi Contucci | Cristian Giardina
Advances in Disordered Systems, Random Processes and Some Applications
Book
12/2016
Cambridge University Press
€183.00
Shipment within 15-20 days
Persons
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 Giardin... 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.
Content
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.
