In addition to providing a self-contained introduction to p-adic lie groups, this volume discusses spaces of locally analytic functions as topological vector spaces, important to applications in representation theory.
In addition to providing a self-contained introduction to p-adic lie groups, this volume discusses spaces of locally analytic functions as topologi...
The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using the time symmetry properties of the Markov processes, the book develops the techniques that allow us to deal with infinite dimensional models that appear in statistical mechanics and engineering (interacting particle systems, homogenization in random environments, and diffusion in turbulent flows, to mention just a few applications). The first part contains a detailed exposition of the method, and can be used as a text for graduate courses. The second concerns application to...
The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using the time symmetry properties of the...
In many areas of mathematics some higher operations are arising. These havebecome so important that several research projects refer to such expressions. Higher operationsform new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to...
In many areas of mathematics some higher operations are arising. These havebecome so important that several research projects refer to such express...
The field of optimal transport has made breathtaking forays into various other domains of mathematics. This book presents a broad overview of this area. PhD students or researchers can read the entire book without any prior knowledge of the field.
The field of optimal transport has made breathtaking forays into various other domains of mathematics. This book presents a broad overview of this are...
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves.
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are resea...
It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.
It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. New material is in...
This volume focuses on the concrete interplay between the analytic, probabilistic and geometric aspects of Markov diffusion semigroups. It covers a large body of results and techniques, from the early developments in the mid-eighties to current achievements.
This volume focuses on the concrete interplay between the analytic, probabilistic and geometric aspects of Markov diffusion semigroups. It covers a la...
This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.
This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classic...
