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math.PR2025
Functional law of large numbers and central limit theorem for Crump-Mode-Jagers branching processes
Ibrahima Dramé, Etienne Pardoux
We establish a Law of Large Numbers and a Central Limit Theorem for a class of Crump Mode Jagers continuous time branching processes, where the birth rate is age dependent, and als…
math.PR2024
Uniqueness of the solution of the filtering equations in spaces of measures
Dan Crisan, Etienne Pardoux
Nonlinear filtering is a pivotal problem that has attracted significant attention from mathematicians, statisticians, engineers, and various other scientific disciplines. The solut…