In this paper we present the concept of description of random processes in complex systems
with discrete time. It involves the description of kinetics of discrete processes by means of …

A main theme of the book outlines the role of the quantum potential in quantum mechanics
and general relativity and one of its origins via fluctuations formulated in terms of Fisher …

At what level of physical existence does" quantum behavior" begin? How does it develop
from classical mechanics? This book addresses these questions and thereby sheds light on …

In this paper we explore the mathematical and epistemological connections between the
stochastic derivation of the Schrödinger equation and the one proposed by ourselves in …

The relativistic solutions of the Klein‐Gordon equation comprising an interaction of the
generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic …

Since the proposal of the Tsallis generalized entropy, the general explanation of the role
played by the parameter q that defines which specific entropy to pick among a whole family …

The Markov and non-Markov processes in complex systems are examined with the help of
dynamical information Shannon entropy method. Here we consider the essential role of two …

We propose a nonextensive generalization (q-parametrized) of the von Neumann equation
for the density operator. Our model naturally leads to the phenomenon of decoherence, and …

We study the quantization of a classical system of interacting particles obeying a recently
proposed kinetic interaction principle (KIP)[G. Kaniadakis, Physica A 296, 405 (2001)]. The …

Starting from a many-body classical system governed by a trace-form entropy we derive, in
the stochastic quantization picture, a family of non-linear and non-Hermitian Schrödinger …