Hakutulokset: Hakutulos
yhteensä 91 hakutulosta
Topology of Closed One-forms
This monograph is an introduction to the fascinating field of the topology, geometry and dynamics of closed one-forms. The subject was initiated by S. P. Novikov in 1981 as a study …
Asymptotic Behavior of Dissipative Systems
Renormalization and Effective Field Theory
Quantum field theory has had a profound influence on mathematics, and on geometry in particular. However, the notorious difficulties of renormalization have made quantum field …
Arithmeticity in the Theory of Automorphic Forms
Alice and Bob Meet Banach
The quest to build a quantum computer is arguably one of the major scientific and technological challenges of the twenty-first century, and quantum information theory (QIT) …
Ramsey Theory for Product Spaces
Ramsey theory is a dynamic area of combinatorics that has various applications in analysis, ergodic theory, logic, number theory, probability theory, theoretical computer science, …
Foundations of Arithmetic Differential Geometry
The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the role of a ring of …
Subgroup Complexes
Geometry of Isotropic Convex Bodies
The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the …
The Cremona Group and Its Subgroups
The goal of this book is to present a portrait of the $n$-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book …
Painleve Transcendents
At the turn of the twentieth century, the French mathematician Paul Painleve and his students classified second order nonlinear ordinary differential equations with the property …
Kolmogorov Complexity and Algorithmic Randomness
Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by …