A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Brownian motion is a continuum scaling limit for a wide class of random processes, and
there has been great success in develo** a theory for its properties (such as distribution …

In the so-called “microscopic” models of vehicular traffic, attention is paid explicitly to each
individual vehicle each of which is represented by a “particle”; the nature of the “interactions” …

This review addresses recent developments in non-equilibrium statistical physics. Focusing
on phase transitions from fluctuating phases into absorbing states, the universality class of …

Interactive Particle Systems is a branch of Probability Theory with close connections to
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …

Unlike equilibrium statistical mechanics, with its well-established foundations, a similar
widely accepted framework for non-equilibrium statistical mechanics (NESM) remains …

“The career structure and funding of the universities [...] currently strongly discourages
academics and faculties from putting any investment into teaching–there are no career or …

Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical
mechanics. Diverse stochastic growth processes can be unified via an intriguing nonlinear …

This review describes recent progress in the understanding of the emergence of scale
invariance in far-from-equilibrium growth. The first section is devoted to 'solvable'needle …

A number of exact results have been obtained recently for the one-dimensional asymmetric
simple exclusion process, a model of particles which hop to their right at random times, on a …