24 citations · 43 across the 27 of their papers we have counts for
28 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 re…
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 …
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…
A behavioural pseudometric for continuous-time Markov processes
Linan Chen, Florence Clerc, Prakash Panangaden
In this work, we generalize the concept of bisimulation metric in order to metrize the behaviour of continuous-time processes. Similarly to what is done for discrete-time systems,…