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  1. Article ; Online: Mean-Field Limits for Entropic Multi-Population Dynamical Systems.

    Almi, Stefano / D'Eramo, Claudio / Morandotti, Marco / Solombrino, Francesco

    Milan journal of mathematics

    2023  Volume 91, Issue 1, Page(s) 175–212

    Abstract: The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, ... ...

    Abstract The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents' locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels.
    Language English
    Publishing date 2023-04-24
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2084286-7
    ISSN 1424-9294 ; 1424-9286
    ISSN (online) 1424-9294
    ISSN 1424-9286
    DOI 10.1007/s00032-022-00375-w
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article: Mean-Field Selective Optimal Control via Transient Leadership.

    Albi, Giacomo / Almi, Stefano / Morandotti, Marco / Solombrino, Francesco

    Applied mathematics and optimization

    2022  Volume 85, Issue 2, Page(s) 9

    Abstract: A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position and their probability of belonging to a certain population. The dynamics ... ...

    Abstract A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position and their probability of belonging to a certain population. The dynamics in the control problem is characterized by the presence of an activation function which tunes the control on each agent according to the membership to a population, which, in turn, evolves according to a Markov-type jump process. In this way, a hypothetical policy maker can select a restricted pool of agents to act upon based, for instance, on their time-dependent influence on the rest of the population. A finite-particle control problem is studied and its mean-field limit is identified via
    Language English
    Publishing date 2022-04-13
    Publishing country United States
    Document type Journal Article
    ZDB-ID 1398298-9
    ISSN 1432-0606 ; 0095-4616
    ISSN (online) 1432-0606
    ISSN 0095-4616
    DOI 10.1007/s00245-022-09837-4
    Database MEDical Literature Analysis and Retrieval System OnLINE

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