Lectures on Quasiconformal Mappings

Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop th...

 The Complex Monge-Ampere Equation and Pluripotential Theory

We collect here results on the existence and stability of weak solutions of complex Monge-Ampére equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems o...

 Painlevé Transcendents The Riemann-Hilbert Approach

At the turn of the twentieth century, the French mathematician Paul Painlevé and his students classified second order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of th...

 A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem Heuristics and Rigourous Verification on a Model

We introduce a geometric mechanism for diffusion in a priori unstable nearly integrable dynamical systems. It is based on the observation that resonances, besides destroying the primary KAM tori, create secondary tori and tori of lower dimension. We argue...

 Disease Evolution Models, Concepts, and Data Analyses

Infectious diseases are continuing to threaten humankind. While some diseases have been controlled, new diseases are constantly appearing. Others are now reappearing in forms that are resistant to drug treatments. A capacity for continual re-adaptation fu...

 Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics Volume 119

This monograph presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows and its applications to fluid dynamics and geo...

 Public-Key Cryptography Volume 62

This collection of articles grew out of an expository and tutorial conference on public-key cryptography held at the Joint Mathematics Meetings (Baltimore). The book provides an introduction and survey on public-key cryptography for those with consider...