3 papers
math.PR2026
On the Onsager-Machlup functional of the -measure
Ioannis Gasteratos, Zachary Selk
We investigate the existence of generalised densities for the measures, in finite volume, through the lens of Onsager-Machlup (OM) functionals. The latter are…
math.PR2025
Reweighting metric measure spaces and Onsager-Machlup
Zachary Selk
Given a metric measure space the Onsager-Machlup (OM) functional is a real valued function that has been seen as a generalized notion of a probability density functio…
math.PR2025
Stochastic Calculus for the Theta Process
Francesco Cellarosi, Zachary Selk
The theta process is a stochastic process of number theoretical origin arising as a scaling limit of quadratic Weyl sums. It can be described in terms of the geodesic flow and an a…