Publications of A. Manita (by topic)

Publications sorted by year

Noncommutative probability theory and quantum statistical mechanics

• Translation invariant quantum master equation. (with D.D.Botvich and V.A.Malyshev)
  Helvetica Physica Acta, Vol.64, (1991), pp.1072-1092.
  Abstract
• Markovian limit for the system `particle + fermi-gas' with translation invariant interaction.
  In ``Functional and stochastic analysis and their applications'', Moscow State University, 1991, p.53-58, (in Russian)
• Properties of translation invariant quantum dynamical semigroups.
  Theoretical and Mathem. Physics, 1991, Vol.89, N.3, pp.366-379.
  Abstract
• Asymptotically Markovian behaviour of quantum particle.
  Ph.D. Thesis, Moscow State University, 1991.

Markovian stochastic systems

• Hydrodynamics of weakly perturbed voter model. (with V.A.Malyshev, E.N.Petrova, E.Scacciatelly)
  CARR Reports in Mathematical Physics, June 1993, n.17/93,
  Abstract
• Hydrodynamics of nonlinear voter model. (with V.A.Malyshev and E.N.Petrova)
  Uspekhi Mat. Nauk, 1993, Vol.48, N.4
• Hydrodynamics of weakly perturbed voter model. (with V.A.Malyshev, E.N.Petrova, E.Scacciatelly)
  Markov Processes and Related Fields, 1995, Vol.1, N.1, 3-56
  Abstract
• Nonlinear voter models: invariant measures and hydrodynamics. (with V.A.Malyshev, E.N.Petrova)
  (To appear in Markov Processes and Related Fields).

Stochastic networks and queueing systems

• Probabilistic models for computer architectures. (with A.V.Filin and V.A.Malyshev)
  Rapport de recherche, N.2419, INRIA, (1994).
  Abstract
• Priority communication networks: stability and extremal situations.
  In Probabilistic analysis of communication networks.
  Preprint of French-Russian Institute, No.1. Moscow University, 1996.
  Abstract in English , Russian and French
• Probabilistic models for computer architectures. (with A.V.Filin and V.A.Malyshev).
  Fundamental and Applied Mathematics, Vol.3, N.1, pp.263-301 (1997)
  Abstract

Large Markov chains

• On equilibrium convergence time for large finite Markov chains.
  Moscow University Mathematics Bulletin, Vol.51, No.6, pp.38-39, (1996).
(In English)
• Convergence time to equilibrium for large finite Markov chains.
  Submitted to Fundamental and Applied Mathematics.
  Abstract and paper
• Convergence time to equilibrium for multi-particle Markov chains.
  Preprint of French-Russian Institute, No.3. Moscow University, 1997.
  Abstract and paper

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