A CHARM-EU course offered jointly by UiB and JMU
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This graduate-course focusses on the mathematical foundations of stochastic processes with interacting components and some of their manifold applications. The intuitions and rigorous results will be supported by computer simulations and experiments.
Topics:
Erdős–Rényi Model
Contact Process
Voter Model
Energy-based Models
Instructors:
Stein Andreas Bethuelsen (UiB)
Anton Klimovsky (JMU)
There is no single book covering the course.
Literature:
van der Hofstad, Remco. Random graphs and complex networks. Vol. 1. Cambridge university press, 2017
Lanchier, Nicolas. Stochastic modeling. Berlin: Springer, 2017
Lanchier, Nicolas. Stochastic interacting systems in life and social sciences. Vol. 5. Walter de Gruyter, 2024
Roch, Sebastien. Modern discrete probability: An essential toolkit. Cambridge University Press, 2024