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19922020
most citedWeak convergence of error processes in discretizations of stochastic integrals and Besov spaces

27 citations · 54 across the 12 of their papers we have counts for

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11 papers · 1 filter

math.PR2020

On Riemann-Liouville type operators, BMO, gradient estimates in the Lévy-Itô space, and approximation

Stefan Geiss, Tran-Thuan Nguyen

We discuss in a stochastic framework the interplay between Riemann-Liouville type operators applied to stochastic processes, real interpolation, bounded mean oscillation, and an ap…

math.PR2019

Donsker-Type Theorem for BSDEs: Rate of Convergence

Philippe Briand, Christel Geiss, Stefan Geiss +1

In this paper, we study in the Markovian case the rate of convergence in the Wasserstein distance of an approximation of the solution to a BSDE given by a BSDE which is driven by a…

math.PR2018

On decoupling in Banach spaces

Sonja Cox, Stefan Geiss

We consider decoupling inequalities for random variables taking values in a Banach space . We restrict the class of distributions that appear as conditional distributions while…

math.PR2014

Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs

Stefan Geiss, Juha Ylinen

We introduce a decoupling method on the Wiener space to define a wide class of an\-iso\-tro\-pic Besov spaces. The decoupling method is based on a general distributional approach a…

math.PR2013★ 5 cited

First time to exit of a continuous Itô process: general moment estimates and L1-convergence rate for discrete time approximations

Bruno Bouchard, Stefan Geiss, Emmanuel Gobet

We establish general moment estimates for the discrete and continuous exit times of a general Itô process in terms of the distance to the boundary. These estimates serve as interme…

math.PR2012★ 1 cited

Fractional smoothness of functionals of diffusion processes under a change of measure

Stefan Geiss, Emmanuel Gobet

Let be the solution of the parabolic backward equation $ \partial_t v + (1/2) \sum_{i,l} [σσ^\perp]_{il} \partial_{x_i \partial_{x_l} v + \sum_{i} b_i \…