3 papers
eess.SY2026
Koopman Representations for Non-Vanishing Time Intervals: An Optimization Approach and Sampling Effects
Younghwan Cho, Richard Sowers
Koopman operator theory is a key tool in data assimilation of complex dynamical systems, with the potential to be applied to multimodal data. We formulate the problem of learning K…
cs.DS2025
On the Enumeration of all Unique Paths of Recombining Trinomial Trees
Ethan Torres, Ramavarapu Sreenivas, Richard Sowers
Recombining trinomial trees are a workhorse for modeling discrete-event systems in option pricing, logistics, and feedback control. Because each node stores a state-dependent quant…
math.AP2024
Side Boundary potentials for a Kolmogorov-type PDE
Richard Sowers
We solve a Kolmogorov-type hypoelliptic parabolic partial differential equation with a "side" boundary condition (in the direction of the weak Hörmander condition). We construct a…