3 papers
math.PR2026
Lower path regularity in all dimensions
Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
We prove precise almost sure lower path regularity results for a wide class of stochastic processes in all space dimensions . Examples include Gaussian processes, in parti…
math.PR2025
On fractal minimizers and potentials of occupation measures
Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
We consider four prototypes of variational problems and prove the existence of fractal minimizers through the direct method in the calculus of variations. By design these minimizer…
math.PR2025
Variability and the existence of rough integrals with irregular coefficients
Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
Within the context of rough path analysis via fractional calculus, we show how variability can be used to prove the existence of integrals with respect to Hölder continuous multip…