Geodesic
Asymptotically Exactly Solvable Models of Processes in Stochastically Homogeneous Disordered Lattice Media
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 1, pp. 117-136 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2003},
     volume = {135},
     number = {1},
     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
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
%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/

[1] J. Bernasconi, S. Alexander, R. Orbach, Phys. Rev. Lett., 41 (1978), 185 | DOI

[2] Ya. G. Sinai, Teoriya veroyatn. i ee primen., 27 (1982), 247 | MR | Zbl

[3] P. J. H. Denteneer, M. H. Ernst, Phys. Rev., 29 (1984), 1755 | DOI

[4] J.-P. Bouchaud, A. George, Phys. Rep., 185 (1990), 127 | DOI | MR

[5] Yu. G. Abov, M. I. Bulgakov, S. P. Borovlev i dr., ZhETF, 99 (1991), 962 | MR

[6] F. S. Dzheparov, ZhETF, 99 (1991), 982

[7] J. Bricmont, A. Kuppiainen, Phys. Rev. Lett., 66 (1991), 1689 | DOI | MR | Zbl

[8] J. W. Haus, K. W. Kehr, Phys. Rev. B, 44 (1991), 4341 | DOI

[9] Proc. of 4th Int. Conf. on Hopping and Related Phenomena, Philos. Mag. B, 65, no. 4, 1992

[10] F. S. Dzheparov, V. E. Shestopal, TMF, 94 (1993), 496 | MR

[11] F. S. Dzheparov, D. V. Lvov, K. N. Nechaev, V. E. Shestopal, Pisma v ZhETF, 62 (1995), 639

[12] D. V. L'vov, V. E. Shestopal, Surv. High Energy Phys., 13 (1998), 223 | DOI

[13] F. S. Dzheparov, D. V. Lvov, V. E. Shestopal, ZhETF, 114:6(12) (1998), 2166

[14] V. E. Shestopal, TMF, 119 (1999), 332 | DOI | MR | Zbl

[15] F. Dzheparov, A. Gul'ko, P. Heitjans, D. L'vov, A. Schirmer, V. Shestopal, S. Stepanov, S. Trostin, Physica B, 297 (2001), 288 | DOI

[16] M. F. Fedoryuk, Asimptotika: integraly i ryady, Nauka, M., 1987 | MR