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math.PR2025
Brownian motion on the Fubini extension space and applications
Hamed Amini, Nina H. Amini, Sofiane Chalal +1
We study a family of essentially pairwise independent Brownian motions indexed by a continuum of labels and show how the Fubini extension framework provides a rigorous way to repre…
math.PR2025
Graphon Quantum Filtering Systems
Hamed Amini, Nina H. Amini, Sofiane Chalal +1
We consider a non-exchangeable system of interacting quantum particles with mean-field type interactions, subject to continuous measurement on dense graphs. In the mean-field limit…