1 citations · 2 across the 4 of their papers we have counts for
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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 function…
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 r…
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…
Stochastic Solutions for Hyperbolic PDE
Abdol-Reza Mansouri, Zachary Selk
The theory of stochastic representations of solutions to elliptic and parabolic PDE has been extensive. However, the theory for hyperbolic PDE is notably lacking. In this short not…
Information Projection on Banach spaces with Applications to State Independent KL-Weighted Optimal Control
Zachary Selk, William Haskell, Harsha Honnappa
This paper studies constrained information projections on Banach spaces with respect to a Gaussian reference measure. Specifically our interest lies in characterizing projections o…
Convergence of trapezoid rule to rough integrals
Yanghui Liu, Zachary Selk, Samy Tindel
Rough paths techniques give the ability to define solutions of stochastic differential equations driven by signals which are not semimartingales and whose -variation is fini…