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  • Simple SIR models with Markovian control

    We consider a random dynamical system, where the deterministic dynamics are driven by a finite-state space Markov chain. We provide a comprehensive introduction to the required mathematical apparatus and then turn to a special focus on the susceptible-infected-recovered epidemiological model with random steering. Through simulations we visualize the behaviour of the system and the effect of the high-frequency limit of the driving...

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  • Objectivity in the non-Markovian spin-boson model

    Publication

    - PHYSICAL REVIEW A - Year 2017

    Objectivity constitutes one of the main features of the macroscopic classical world. An important aspect of the quantum-to-classical transition issue is to explain how such a property arises from the microscopic quantum theory. Recently, within the framework of open quantum systems, there has been proposed such a mechanism in terms of the so-called spectrum broadcast structures. These are multipartite quantum states of the system...

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  • On asymptotic periodicity of kernel double Markovian operators

    Publication

    It is proved that a kernel, doubly Markovian operator T is asymptotically periodic if and only if its deterministic σ-field Σd(T)(equivalently Σd(T∗)) is finite. It follows that kernel doubly Markovian operator T is asymptotically periodic if and only if T∗ is asymptotically periodic.

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  • FOOD CONTROL

    Journals

    ISSN: 0956-7135 , eISSN: 1873-7129

  • Solvability of a Markovian model of an IEEE 802.11 LANunder a backoff attack

    Publication

    - Year 2005

    Przedstawiono ulepszony model jakościowy mechanizmu CSMA/CA dla bezprzewodowych sieci lokalnych z indywidualną konfiguracją okien rywalizacji. Sformułowano warunki dostateczne rozwiązywalności modelu oraz wykazano obecność bezwarunkowej motywacji do zmniejszania okien rywalizacji.