Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

Some results emerging from the formalism of quantum theory seem to indicate probabilities
outside of the conventional range between 0 and 1. This article draws attention to arguments …

Methods of global analysis and stochastic analysis are most often applied in mathematical
physics as separate entities, thus forming important directions in the field. However, while …

The principal intent of this monograph is to present in a systematic and self-con tained
fashion the basic tenets, ideas and results of a framework for the consistent unification of …

We construct a theory for the (1+ 1)-dimensional Brownian motion in a viscous medium,
which is (i) consistent with Einstein's theory of special relativity and (ii) reduces to the …

A theory for (1+ 3)-dimensional relativistic Brownian motion under the influence of external
force fields is put forward. Starting out from a set of relativistically covariant, but multiplicative …

Stochastic mechanics is a theory that holds great promise in resolving the mathematical and
interpretational issues encountered in the canonical and path integral formulations of …

over this stochastic space-time leads to the non local fields considered by GV Efimov. In
other words, stochasticity of space-time (after being averaged on a large scale) as a self …

The purpose of this paper is to review relativistic quantum theories with an invariant
evolution parameter. Parametrized relativistic quantum theories (PRQT) have appeared …

The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems
of Mathematical Physics was published by Voronezh Univer sity Press in 1989. For its …