stochastic models; lattice spin systems; spectral analysis of multi-particle operators; Gibbsian random fields; asymptotics of correlations decay.
Main publications:
Minlos R. A., Kondratiev Yu. G., Zhizhina E. A. Lower branches of the spectrum of Hamiltonians for infinite quantum system with compact spin // Transactions of Moscow Math. Soc., Moscow, 1998, vol. 60, p. 259–302.
Albeverio S., Minlos R. A., Scacciatelli E., Zhizhina E. Spectral analysis of the disordered stochastic 1–D Ising model // Commun. Math. Phys, 1999, 204, 651–668.
Zhizhina E. The Lifshitz tail and relaxation to equilibrium in the 1–D disordered Ising model // JSP 98(3/4), 2000, 701–721.
F. Lafarge, X. Descombes, E. Zhizhina, R. Minlos, Simulation et optimisation,
In: Applications de la Geometrie Stochastique a l'Analyse d'Images (Ed. X. Descombes)
Traite IC2, Hermes-Science, Paris, 2011.
D. Finkelshtein, Yu. Kondratiev, O.
Kutoviy, E.
Zhizhina,
An approximative approach to construction of the Glauber dynamics in continuum,
Mathematische Nachrichten, 2012, 285, No 2-3, pp. 223-235,
http://onlinelibrary.wiley.com/doi/10.1002/mana.200910248
X. Descombes, E. Zhizhina, Double annealing regimes in the multiple
birth-and-death stochastic algorithms, Markov processes and related fields, 2012,
Vol.18, No 3, pp. 441-456.
D. Finkelshtein, Yu. Kondratiev, O. Kutoviy, E. Zhizhina, On an aggregation
in birth-and-death stochastic dynamics, Nonlinearity, 2014, 27, 1105–1133.
E. A. Zhizhina, S. A. Pirogov, “Invariant measures for contact processes with state-dependent birth and death rates”, Probl. Peredachi Inf., 59:2 (2023), 63–82
2022
2.
D. I. Borisov, E. A. Zhizhina, A. L. Piatnitski, “Spectrum of a convolution operator with potential”, Uspekhi Mat. Nauk, 77:3(465) (2022), 173–174; Russian Math. Surveys, 77:3 (2022), 546–548
E. A. Zhizhina, A. L. Piatnitski, “On the behaviour at infinity of solutions to nonlocal parabolic type problems”, Bulletin of Irkutsk State University. Series Mathematics, 30 (2019), 99–113
C. Boldrighini, A. Pellegrinotti, E. A. Zhizhina, “Regular and singular continuous time random walk in dynamic random environment”, Mosc. Math. J., 19:1 (2019), 51–76
V. A. Lyubetsky, E. A. Zhizhina, L. I. Rubanov, “Gibbs Field Approach for Evolutionary Analysis of Regulatory Signal of Gene Expression”, Probl. Peredachi Inf., 44:4 (2008), 52–71; Problems Inform. Transmission, 44:4 (2008), 333–351
R. A. Minlos, E. A. Zhizhina, “Limit diffusion process for a non-homogeneous random walk on a one-dimensional lattice”, Uspekhi Mat. Nauk, 52:2(314) (1997), 87–100; Russian Math. Surveys, 52:2 (1997), 327–340
E. A. Zhizhina, “Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures”, TMF, 112:1 (1997), 67–80; Theoret. and Math. Phys., 112:1 (1997), 844–856
E. A. Zhizhina, R. A. Minlos, “A local limit theorem for nonhomogeneous random walk on a lattice”, Teor. Veroyatnost. i Primenen., 39:3 (1994), 513–529; Theory Probab. Appl., 39:3 (1994), 490–503
E. A. Zhizhina, R. A. Minlos, “Asymptotics of correlation decrease for Gibbs spin fields”, TMF, 77:1 (1988), 3–12; Theoret. and Math. Phys., 77:1 (1988), 1003–1009
E. A. Zhizhina, “Excited single-particle states of the transfer matrix of the gauge lattice Yang–Mills field with gauge group $U(1)$”, TMF, 74:2 (1988), 218–222; Theoret. and Math. Phys., 74:2 (1988), 142–145
2018
13.
E. A. Zhizhina, V. A. Zagrebnov, Yu. M. Kondrat'ev, V. A. Malyshev, B. S. Nakhapetian, E. A. Pechersky, S. A. Pirogov, S. K. Pogosyan, Ya. G. Sinai, “Robert Adol'fovich Minlos (28 February 1931 – 9 January 2018)”, TMF, 195:1 (2018), 3–5; Theoret. and Math. Phys., 195:1 (2018), 491–493
2001
14.
N. D. Vvedenskaya, A. M. Vershik, E. A. Zhizhina, N. A. Kuznetsov, V. A. Malyshev, I. A. Ovseevich, S. A. Pirogov, A. N. Rybko, Ya. G. Sinai, S. B. Shlosman, R. Z. Khas'minskii, “Robert Adol'fovich Minlos (on his 70th birthday)”, Uspekhi Mat. Nauk, 56:4(340) (2001), 173–176; Russian Math. Surveys, 56:4 (2001), 789–792
Мини-конференция в память Р.А. Минлоса: V. M. Tikhomirov, A. M. Vershik, V. A. Malyshev, M. L. Blank, G. A. Kabatiansky, S. Shlosman, B. M. Gurevich, E. A. Zhizhina, E. A. Pechersky, A. G. Tarasov, S. A. Stepin Dobrushin Mathematics Laboratory Seminar February 27, 2018 15:00
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