8 papers
Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls
Lina Chen
In \cite{HH}, H. Huang-X.Huang introduced the generalized Reifenberg condition which describes the non-increasing property of numbers of almost Euclidean factors of geodesic balls…
A Regime-Switching Approach to the Unbalanced Schrödinger Bridge Problem
Andrei Zlotchevski, Linan Chen
The unbalanced Schrödinger bridge problem (uSBP) seeks to interpolate between a probability measure and a sub-probability measure while minimizing KL divergence to a…
Two behavioural pseudometrics for continuous-time Markov processes
Linan Chen, Florence Clerc, Prakash Panangaden
Bisimulation is a concept that captures behavioural equivalence of states in a variety of types of transition systems. It has been widely studied in discrete-time settings where a…
The Schrödinger Bridge Problem for Jump Diffusions with Regime Switching
Andrei Zlotchevski, Linan Chen
The Schrödinger bridge problem (SBP) aims at finding the measure on a certain path space which possesses the desired state-space distributions at time $0…
Fundamental groups of open manifolds with nonnegative Ricci curvature and universal cover Euclidean volume growth
Lina Chen
In this note, we will give an positive answer to Pan-Rong's conjecture that for an open manifold with nonnegative Ricci curvature, if its universal cover has Euclidean volume growt…
2-regular points in Ricci limit spaces
Lina Chen
In this note, we will show that if a measured Gromov-Hausdorff limit space of a sequence of Riemannian manifolds with lower Ricci curvature bound contains a 2-regular point which l…