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math.FA2018
An inequality connecting entropy distance, Fisher Information and large deviations
Bastian Hilder, Mark A. Peletier, Upanshu Sharma +1
In this paper we introduce a new generalisation of the relative Fisher Information for Markov jump processes on a finite or countable state space, and prove an inequality which con…
math.PR2018
Effective dynamics for non-reversible stochastic differential equations: a quantitative study
Frédéric Legoll, Tony Lelièvre, Upanshu Sharma
Coarse-graining is central to reducing dimensionality in molecular dynamics, and is typically characterized by a mapping which projects the full state of the system to a smaller cl…