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Lecture Notes in Mathematics

Lecture Notes in Mathematics

Séminaire de Probabilités

407 Volumes | 1980 - 2020

Description

This series reports on new developments in all areas of mathematics and their applications - quickly, informally and at a high level. Mathematical texts analysing new developments in modelling and numerical simulation are welcome. The type of material considered for publication includes:


1. Research monographs
2. Lectures on a new field or presentations of a new angle in a classical field
3. Summer schools and intensive courses on topics of current research.


Texts which are out of print but still in demand may also be considered if they fall within these categories. The timeliness of a manuscript is sometimes more important than its form, which may be preliminary or tentative.

All subseries of the series Lecture Notes in Mathematics

02-12-2015 | Book Series

C.I.M.E. Foundation Subseries

C.I.M.E. Foundation Subseries

02-12-2015 | Book Series

Ecole d'Eté Probabilit.Saint-Flour

Ecole d'Eté Probabilit.Saint-Flour

02-09-2016 | Book Series

History of Mathematics Subseries

History of Mathematics Subseries

02-12-2015 | Book Series

Lévy Matters

Lévy Matters

A Subseries on Lévy Processes

02-12-2015 | Book Series

Mathematical Biosciences Subseries

Mathematical Biosciences Subseries

02-12-2015 | Book Series

Séminaire de Probabilités

Séminaire de Probabilités

All books of the series Lecture Notes in Mathematics

2020 | Book

Arakelov Geometry over Adelic Curves

The purpose of this book is to build the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for research on arithmetic geometry in several directions. By adelic curve is meant a field equipped with a family …

2020 | Book

Locally Convex Quasi *-Algebras and their Representations

This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years. Quasi *-algebras are partial algebraic structures that are motivated by certain applications in Mathematical …

2020 | Book

Case Studies in Applied Bayesian Data Science

CIRM Jean-Morlet Chair, Fall 2018

Presenting a range of substantive applied problems within Bayesian Statistics along with their Bayesian solutions, this book arises from a research program at CIRM in France in the second semester of 2018, which supported Kerrie Mengersen as a …

2020 | Book

Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2017-2019 Volume I

Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure …

2020 | Book

Boundary Value Problems and Markov Processes

Functional Analysis Methods for Markov Processes

This 3rd edition provides an insight into the mathematical crossroads formed by functional analysis (the macroscopic approach), partial differential equations (the mesoscopic approach) and probability (the microscopic approach) via the mathematics …

2020 | Book

Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2017-2019 Volume II

Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure …

2020 | Book

Desingularization: Invariants and Strategy

Application to Dimension 2

This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis …

2020 | Book

Potential Theory on Sierpiński Carpets

With Applications to Uniformization

This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on …

2020 | Book

Homotopy Theory with Bornological Coarse Spaces

Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and …

2020 | Book

Profinite Semigroups and Symbolic Dynamics

This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of …

2020 | Book

Complex Semisimple Quantum Groups and Representation Theory

This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information …

2020 | Book

Gelfand Triples and Their Hecke Algebras

Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups

This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general …

2020 | Book

Lectures in Algebraic Combinatorics

Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields

Capturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few …

2020 | Book

Geometry and Analysis of Metric Spaces via Weighted Partitions

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated decomposition) of a compact metric space. Via a partition, a compact metric space is …

2020 | Book

Linear Differential Equations in the Complex Domain

From Classical Theory to Forefront

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable …

2019 | Book

Flexibility of Group Actions on the Circle

In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.

The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and …

2019 | Book

Stochastic Geometry

Modern Research Frontiers

This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research.

Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two …

2019 | Book

Orlicz Spaces and Generalized Orlicz Spaces

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent …

2019 | Book

Siegel Modular Forms

A Classical and Representation-Theoretic Approach

This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the …

2019 | Book

Lipschitz Functions

The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz …