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  Large population limits of Markov processes on random networks

Lücke, M., Heitzig, J., Koltai, P., Molkenthin, N., Winkelmann, S. (2023): Large population limits of Markov processes on random networks. - Stochastic Processes and their Applications, 166, 104220.
https://doi.org/10.1016/j.spa.2023.09.007

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 ???ViewItemFull_lblCreators???:
Lücke, Marvin1, ???ENUM_CREATORROLE_AUTHOR???
Heitzig, Jobst2, ???ENUM_CREATORROLE_AUTHOR???                 
Koltai, Péter1, ???ENUM_CREATORROLE_AUTHOR???
Molkenthin, Nora2, ???ENUM_CREATORROLE_AUTHOR???                 
Winkelmann, Stefanie1, ???ENUM_CREATORROLE_AUTHOR???
???ViewItemFull_lblAffiliations???:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 ???ViewItemFull_lblAbstract???: We consider time-continuous Markovian discrete-state dynamics on random networks of interacting agents and study the large population limit. The dynamics are projected onto low-dimensional collective variables given by the shares of each discrete state in the system, or in certain subsystems, and general conditions for the convergence of the collective variable dynamics to a mean-field ordinary differential equation are proved. We discuss the convergence to this mean-field limit for a continuous-time noisy version of the so-called “voter model” on Erdős–Rényi random graphs, on the stochastic block model, and on random regular graphs. Moreover, a heterogeneous population of agents is studied.

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???ViewItemFull_lblLanguages???: eng - English
 ???ViewItemFull_lblDates???: 2023-09-132023-09-302023-12-01
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 ???ViewItemFull_lblIdentifiers???: ???ENUM_IDENTIFIERTYPE_DOI???: 10.1016/j.spa.2023.09.007
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???ENUM_IDENTIFIERTYPE_PIKDOMAIN???: RD4 - Complexity Science
???ENUM_IDENTIFIERTYPE_ORGANISATIONALK???: FutureLab - Game Theory & Networks of Interacting Agents
???ENUM_IDENTIFIERTYPE_WORKINGGROUP???: Dynamics, stability and resilience of complex hybrid infrastructure networks
???ENUM_IDENTIFIERTYPE_RESEARCHTK???: Nonlinear Dynamics
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???ViewItemFull_lblSourceTitle???: Stochastic Processes and their Applications
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