4 papers
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 i…
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…
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…
Differential Galois groups, specializations and Matzat's conjecture
Ruyong Feng, Michael Wibmer
We study families of linear differential equations parametrized by an algebraic variety and show that the set of all points , such that the differen…