## Title data

Lücke, Marvin ; Heitzig, Jobst ; Koltai, Peter ; Molkenthin, Nora ; Winkelmann, Stefanie:

**Large population limits of Markov processes on random networks.**

*In:* Stochastic Processes and their Applications.
Vol. 166
(2023)
.
- 104220.

ISSN 0304-4149

DOI: https://doi.org/10.1016/j.spa.2023.09.007

## Abstract in another language

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.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Dynamical Systems and Data > Chair Dynamical Systems and Data - Univ.-Prof. Dr. Peter Koltai Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Dynamical Systems and Data |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 11 Jan 2023 11:03 |

Last Modified: | 13 Nov 2023 10:25 |

URI: | https://eref.uni-bayreuth.de/id/eprint/73176 |