14 citations · 61 across the 22 of their papers we have counts for
34 papers
Trivializing Torsors for Difference Algebraic Groups
Annette Bachmayr, Michael Wibmer
We study torsors for groups defined by algebraic difference equations. Our main result provides necessary and sufficient conditions on the base difference field for all such torsor…
On Milstein-Type Methods for Free Stochastic Differential Equations
Michael Wibmer, Georg Schlüchtermann
Previously, the authors derived an analog of the Euler-Maru\-yama method (fEMM) for free stochastic differential equations (fSDEs) and proved strong convergence of order in…
The regular singular inverse problem in differential Galois theory
Thomas Serafini, Michael Wibmer
We show that every linear algebraic group over an algebraically closed field of characteristic zero is the differential Galois group of a regular singular linear differential equat…
On the proalgebraic fundamental group of topological spaces and amalgamated products of affine group schemes
Christopher Deninger, Michael Wibmer
The proalgebraic fundamental group of a connected topological space , recently introduced by the first author, is an affine group scheme whose representations classify local sys…
Numerical Solution of Free Stochastic Differential Equations
Georg Schluechtermann, Michael Wibmer
This paper derives a free analog of the Euler-Maruyama method (fEMM) to numerically approximate solutions of free stochastic differential equations (fSDEs). Simply speaking fSDEs a…
Regular singular differential equations and free proalgebraic groups
Michael Wibmer
We determine the differential Galois group of the family of all regular singular differential equations on the Riemann sphere. It is the free proalgebraic group on a set of cardina…