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Introduces the groups of finite Morley rank, and highlights their resemblance to algebraic groups, of which they are the prototypes. This title can be...Savoir plus
Presents an introduction to group-theoretic methods in analysis on spaces with a group action. This book deals with the three two-dimensional spaces o...Savoir plus
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. This book surveys the modern theory...Savoir plus
Subriemannian geometries, also known as Carnot-Caratheodory geometries, can be viewed as limits of Riemannian geometries. They also arise in physical ...Savoir plus
Originating from a series of lectures given at the 2017 Arizona Winter School on perfectoid spaces, this book provides a broad introduction to this su...Savoir plus
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics,...Savoir plus
Presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is on...Savoir plus
Delves into the interplay between complex analysis and quantum probability theory, this text bridges classical concepts with non-commutative processes...Savoir plus
A study of positive polynomials that brings together algebra, geometry and analysis. This book provides an elementary introduction to positive polynom...Savoir plus
Introduces modern ergodic theory. This book emphasizes a fresh approach that relies on the technique of joining two (or more) dynamical systems. It is...Savoir plus
Aims to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal ...Savoir plus
Presents the classification of the finite simple groups of special even type. The principal result of this volume is a classification of the groups of...Savoir plus
Shows that the underlying topological thread in the computation of invariants of G-manifolds is a consequence of a linearization theorem involving equ...Savoir plus
Aims to treat a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal points. This work ...Savoir plus
Integer-valued polynomials on the ring of integers have been known for a long time and have been used in calculus. Polya and Ostrowski generalized thi...Savoir plus
Presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. This book discu...Savoir plus
The classification of finite simple groups is a landmark result of modern mathematics. This work presents critical aspects of the classification. It p...Savoir plus
Combines the theories of finite dimensional algebras and quantum groups. This title investigates the Ringel-Hall algebra realization for the positive ...Savoir plus
Presents several versions of the Picard-Lefschetz theory, including the classical local monodromy theory of singularities and complete intersections, ...Savoir plus
Deals with the theory of linear ordinary differential operators of arbitrary order. This book centers on the construction of special eigenfunctions an...Savoir plus
Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have ...Savoir plus
The Cauchy transform of a measure on the circle is a subject of both classical interest with a sizable literature. This book surveys this literature a...Savoir plus
Offers a self-contained presentation of classical methods for studying wave phenomena that are related to the existence and stability of solitary and ...Savoir plus
Presents the theory of knotted surfaces in analogy with the classical case of knotted curves in 3-dimensional space. This book shows how to unknot int...Savoir plus