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E-grāmata: Advances in Disordered Systems, Random Processes and Some Applications

Edited by (Universitą degli Studi di Modena, Italy), Edited by (Universitą di Bologna)
  • Formāts: EPUB+DRM
  • Izdošanas datums: 15-Dec-2016
  • Izdevniecība: Cambridge University Press
  • Valoda: eng
  • ISBN-13: 9781316866887
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  • Formāts: EPUB+DRM
  • Izdošanas datums: 15-Dec-2016
  • Izdevniecība: Cambridge University Press
  • Valoda: eng
  • ISBN-13: 9781316866887
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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.

Papildus informācija

This book offers a unified perspective on the study of complex systems, with contributions written by leading scientists from various disciplines.
List of Contributors
vi
Preface viii
1 Topological Field Theory of Data: Mining Data Beyond Complex Networks
1(42)
Mario Rasetti
Emanuela Merelli
2 A Random Walk in Diffusion Phenomena and Statistical Mechanics
43(99)
Elena Agliari
3 Legendre Structures in Statistical Mechanics for Ordered and Disordered Systems
142(24)
Francesco Guerra
4 Extrema of Log-correlated Random Variables: Principles and Examples
166(39)
Louis-Pierre Arguin
5 Scaling Limits, Brownian Loops, and Conformal Fields
205(65)
Federico Camia
6 The Brownian Web, the Brownian Net, and their Universality
270(99)
Emmanuel Schertzer
Rongfeng Sun
Jan M. Swart
Index 369
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 Giardiną 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.