7.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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6 papers · 2 filters
Construction of set-valued dual processes on manifolds
Marc Arnaudon, Koléhè Coulibaly-Pasquier, Laurent Miclo
The purpose of this paper is to construct a Brownian motion taking values in a Riemannian manifold , together with a compact valued process $D:= (D_t)_{t\…
A -rough path above the space-time fractional Brownian motion
Xia Chen, Aurélien Deya, Cheng Ouyang +1
We construct a -rough path above either a space-time or a spatial fractional Brownian motion, in any space dimension . This allows us to provide an interpretation and a uniqu…
Bogoliubov type recursions for renormalisation in regularity structures
Yvain Bruned, Kurusch Ebrahimi-Fard
Hairer's regularity structures transformed the solution theory of singular stochastic partial differential equations. The notions of positive and negative renormalisation are centr…
Strong approximation of particular one-dimensional diffusions
Madalina Deaconu, Samuel Herrmann
This paper develops a new technique for the path approximation of one-dimensional stochastic processes, more precisely the Brownian motion and families of stochastic differential e…
Partial differential equations associated to non linear backward stochastic differential equations with Gaussian Volterra processes
Habiba Knani
In this paper, we generalize to Gaussian Volterra processes the existence and uniqueness of solutions for a class of non linear backward stochastic differential equations (BSDE) an…
A method to deal with the critical case in stochastic population dynamics
Dang H. Nguyen, Edouard Strickler
In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction…