This monograph aims to offer a concise introduction to optimal transport, quickly transitioning to its applications in statistics and machine learning. It is primarily tailored for...Loe edasi...
This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups, and random matrices. These methods, presented...Loe edasi...
(Ilmumisaeg: 28-Aug-2011, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642217432)
Supersymmetry was created by the physicists in the 1970s to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and ma...Loe edasi...
(Ilmumisaeg: 16-Jul-2011, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642211553)
Understanding the effect of disorder on critical phenomena is a central issue in statistical mechanics. In probabilistic terms: what happens if we perturb a system exhibiting a phase transition by introducing a random environment? The physics communi...Loe edasi...
Fraydoun Rezakhanlou, François Golse, Cédric Villani, Stefano Olla
Sari: Lecture Notes in Mathematics
(Ilmumisaeg: 14-Nov-2007, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540737049)
Featuring two research courses held at the Centre Emile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses f...Loe edasi...
(Ilmumisaeg: 19-Feb-1998, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540640660)
This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The invest...Loe edasi...