Anatoli Manita - Fields of interest

• Asymptotic completeness for large quantum systems
• General perturbation theory and renormalization theory: rigorous methods
• Open quantum systems: asymptotic behaviour under various scalings, Markovian limits
• Rigorous derivations of quantum master equations
• Quantum dynamical semigroups and their properties
• Large time behaviour of quantum dynamical semigroups

• Processes with local interaction: stationary measures, long time behaviour
• Perturbations of infinite particle systems (voter model, exclusion process, etc.)
• Behaviour of large stochastic systems under various scalings
• Hydrodynamical limits and hydrodynamical equations

• Mathematical models of communication and computer networks
• Priority queueing systems
• Jackson network
• Long time behaviour of large finite Markov chains

• Large finite Markov chains: long time behaviour, convergence time
• Monte Carlo Markov Chains
• Multi-particle Markov chains

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