The nucleation of crystals in liquids is one of nature's most ubiquitous phenomena, playing
an important role in areas such as climate change and the production of drugs. As the early …

This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …

Diffusion-mediated surface phenomena are crucial for human life and industry, with
examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis …

Ion channels are fundamental biological devices that act as gates in order to ensure
selective ion transport across cellular membranes; their operation constitutes the molecular …

A compartmental multimedia model was developed to enable evaluation of the dynamic
environmental multimedia mass distribution and concentrations of engineered …

Stochastic processes and stochastic calculus have been used extensively for data analysis
in a wide range of scientific disciplines. They provide fundamental tools for the construction …

The narrow escape problem in diffusion theory is to calculate the mean first passage time of
a diffusion process to a small target on the reflecting boundary of a bounded domain. The …

We develop an encounter-based approach for describing restricted diffusion with a gradient
drift toward a partially reactive boundary. For this purpose, we introduce an extension of the …

This monograph consists of two main parts, mathematical and biological. The mathematical
part, which is quite sophisticated involving advanced asymptotic methods in partial …