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math.PR2025
Reinforced dynamics for interacting agents in competitive or cooperative environments
Michele Aleandri, Paolo Dai Pra, Ida Germana Minelli
We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In…
math.PR2024
Long time fluctuations at critical parameter of Hopf's bifurcation
Michele Aleandri, Paolo Dai Pra
A dynamical system that undergoes a supercritical Hopf's bifurcation is perturbed by a multiplicative Brownian motion that scales with a small parameter . The random fluctuatio…