42 citations · 300 across the 66 of their papers we have counts for
12 papers · 1 filter
Probabilistic estimates for a system of noisy integrate-and-fire neurons
Ben Hambly, Aldaïr Petronilia, Christoph Reisinger +1
In this note, we establish various probabilistic estimates for an interacting particle system that describes the evolution of the membrane potentials in a network of excitatory int…
Contagious McKean--Vlasov problems with common noise: from smooth to singular feedback through hitting times
Ben Hambly, Aldaïr Petronilia, Christoph Reisinger +2
We consider a family of McKean--Vlasov equations arising as the large particle limit of a system of interacting particles on the positive half-line with common noise and feedback.…
Randomness and early termination: what makes a game exciting?
Gaoyue Guo, Sam D. Howison, Dylan Possamaï +1
In this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a mart…
An explicit Milstein-type scheme for interacting particle systems and McKean--Vlasov SDEs with common noise and non-differentiable drift coefficients
Sani Biswas, Chaman Kumar, Neelima +2
We propose an explicit drift-randomised Milstein scheme for both McKean--Vlasov stochastic differential equations and associated high-dimensional interacting particle systems with…
Path regularity of coupled McKean-Vlasov FBSDEs
Christoph Reisinger, Wolfgang Stockinger, Yufei Zhang
This paper establishes Hölder time regularity of solutions to coupled McKean-Vlasov forward-backward stochastic differential equations (MV-FBSDEs). This is not only of fundamental…
Well-posedness and tamed Euler schemes for McKean-Vlasov equations driven by Lévy noise
Neelima, Sani Biswas, Chaman Kumar +2
We prove the well-posedness of solutions to McKean-Vlasov stochastic differential equations driven by Lévy noise under mild assumptions where, in particular, the Lévy measure is no…