Asymptotically Exactly Solvable Models of Processes in Stochastically Homogeneous Disordered Lattice Media
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 1, pp. 117-136
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We construct and study asymptotically exactly solvable models (including new models) of evolution processes in random stationary stochastically homogeneous lattice media. For the first time, we present an effective method for obtaining long-time asymptotic expansions for spatial fluctuations of the propagator in many models previously studied as well as in new models.
Keywords:
stochastic processes, disordered systems, exactly solvable models, limit theorems.
@article{TMF_2003_135_1_a6,
author = {F. S. Dzheparov and V. E. Shestopal},
title = {Asymptotically {Exactly} {Solvable} {Models} of {Processes} in {Stochastically} {Homogeneous} {Disordered} {Lattice} {Media}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {117--136},
publisher = {mathdoc},
volume = {135},
number = {1},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a6/}
}
TY - JOUR AU - F. S. Dzheparov AU - V. E. Shestopal TI - Asymptotically Exactly Solvable Models of Processes in Stochastically Homogeneous Disordered Lattice Media JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2003 SP - 117 EP - 136 VL - 135 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a6/ LA - ru ID - TMF_2003_135_1_a6 ER -
%0 Journal Article %A F. S. Dzheparov %A V. E. Shestopal %T Asymptotically Exactly Solvable Models of Processes in Stochastically Homogeneous Disordered Lattice Media %J Teoretičeskaâ i matematičeskaâ fizika %D 2003 %P 117-136 %V 135 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a6/ %G ru %F TMF_2003_135_1_a6
F. S. Dzheparov; V. E. Shestopal. Asymptotically Exactly Solvable Models of Processes in Stochastically Homogeneous Disordered Lattice Media. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 1, pp. 117-136. http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a6/