7 papers
Entropic optimal transport need not select a zero-temperature limit
Maja Gwozdz
We construct a compact metric space with an atomless probability measure and a bounded Lipschitz cost for which the entropic optimal-transport minimisers have no zero-temperature w…
Sharp Continuity Moduli for Dirichlet Heat Flow in Boundary-Reservoir Transport Metrics
Maja Gwozdz
Let be a bounded open set and let be the killed Dirichlet heat semigroup. We prove the sharp fixed-time power-scale modulus of for the Figa…
Failure of ambient closed-set large-deviation upper bounds in entropic optimal transport
Maja Gwozdz
Large-deviation upper bounds on compact sets do not, in general, extend to arbitrary closed sets without additional tightness. We show that this obstruction already occurs in stati…
Instability of the ray-monotone selector for -optimal transport
Maja Gwozdz
For the distance cost , the set of -optimal plans is generally not a singleton. Under the classical absolute-continuity hypotheses in the Euclidean ca…
No weakly factor-universal cellular automaton
Maja Gwozdz
Hochman asked whether there exists a cellular automaton such that every cellular automaton is a factor of in the dynamical sense. In particular, we do not require the facto…
Green--Wasserstein Inequality on Compact Surfaces
Maja Gwozdz
Let be a compact connected two-dimensional Riemannian manifold without boundary. In this note, we answer a question posed by Steinerberger: can one remove the $\sqrt{\log n…