6 citations · 15 across the 5 of their papers we have counts for
5 papers
On statistics and 1/f noise of Brownian motion in Boltzmann-Grad gas and finite gas on torus. II. Finite gas
Yuriy E. Kuzovlev
An attempt is made to compare statistical properties of self-diffusion of particles constituting gases in infinite volume and on torus. In this second part, derivation, from BBGKY…
Wave functions for open quantum systems and stochastic Schrodinger equations
Yuriy E. Kuzovlev
It is shown that evolution of an open quantum system can be exactly described in terms of wave function which obeys Schrodinger equation with randomly varying parameters whose stat…
Fluctuation-dissipation relations for continuous quantum measurements
Yuriy E. Kuzovlev
The generating functional is derived for the fluctuation-dissipation relations which result from the unitarity and reversibility of microscopic dynamics and connect various statist…
Length distribution of periodic orbits of unitary discrete tent maps
Yuriy E. Kuzovlev
The discrete unitary (reversible) analogues of the continuous (irreversible) tent maps are numerically investigated, in particular, the lengths probability distribution of their pe…
Stochastic representation of deterministic interactions and Brownian motion
Yuriy E. Kuzovlev
Exact generalized stochastic representation of deterministic interaction between two dynamical (quantum or classical) systems is derived which helps when considering one of them to…