Theory and Applications in Mathematical Physics

In Honor of B Tirozzi's 70th Birthday

The aim of this volume is to make a connection among advanced mathematical tools and application to real problems. There are many different mathematical structures analyzed in the book and all of them are in important applications, like statistics and biology, neural networks and financial markets, asymptotic methods for partial differential equations and the problem of tsunami propagation. Plasma physics has been given a new approach, using focal points in analogy to the theory of tsunami waves.

Contents:

• Motifs Stability in Hierarchical Modular Networks (E Agliari, A Barra, F Tavani, B Tirozzi)
• Asymptotic Techniques in the Solution of the Maxwell Equations in Plasmas (A Cardinali)
• Simple Exact and Asymptotic Solutions of the 1D Run-Up Problem (S Yu Dobrokhotov, D S Minenkov, V E Nazaikinskii, B Tirozzi)
• Universality for Couplings Correlation in Mean Field Spin Glasses (A Galluzzi, D Tantari, F Guerra)
• Poker Cash Game: A Thermodynamic Description (M A Javarone)
• Accretion Processes in Astrophysics (G Montani, R Benini, N Carlevaro)
• From Quantum Many-Body Problems to Solar Energy Conversion (S Pittalis, A Delgado, C A Rozzi)
• The NLS on a Torus (C Procesi, M Procesi)
• Portfolio Optimization: A Mean Field Theory Approach (G Rotundo, B Tirozzi)
• Fluctuations of the Eigenvalue Number in the Fixed Interval for β-Models (M Shcherbina)

Readership: Researchers in mathematical physics, complex systems and theoretical physics.
Key Features:

• The book includes contributions from well-known authors of asymptotic methods and tsunami (Dobrokhotov, Nazaikinskii, Tirozzi), statistical mechanics approach to the immune response (Barra and Agliari), statistical mechanics and financial market (Rotundo Tirozzi) and plasma scientists proposing new valuable perspectives (Montani and Cardinali)
• It is highly unlikely to find in a single book all such different topics treated in a unified manner