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math.PR2026
Folding representations of reflected diffusions
David Itkin, Ioannis Karatzas
Diffusion processes with reflection, possibly oblique, on the boundary of a given sufficiently regular closed convex domain in Euclidean space, are constructed in a novel way via i…
math.PR2023
Generalized Rank Dirichlet Distributions
David Itkin
We study a new parametric family of distributions on the ordered simplex , which we cal…
math.PR2021★ 3 cited
On A Class Of Rank-Based Continuous Semimartingales
David Itkin, Martin Larsson
Using the theory of Dirichlet forms we construct a large class of continuous semimartingales on an open domain , which are governed by rank-based, in additi…