25 citations · 51 across the 8 of their papers we have counts for
4 papers · 1 filter
Large deviation principles for non-uniformly hyperbolic rational maps
Henri Comman, Juan Rivera-Letelier
We show some level-2 large deviation principles for rational maps satisfying a strong form of non-uniform hyperbolicity, called "Topological Collet-Eckmann". More precisely, we pro…
Strengthened large deviations for rational maps and full shifts, with unified proof
Henri Comman
For any hyperbolic rational map and any net of Borel probability measures on the space of Borel probability measures on the Julia set, we show that this net satisfies a strong form…
Stone-Weierstrass type theorems for large deviations
Henri Comman
We give a general version of Bryc's theorem valid on any topological space and with any algebra of real-valued continuous functions separating the points, or any well…
Large deviations for quantum Markov semigroups on the 2 x 2 matrix algebra
Henri Comman
Let be a predual quantum Markov semigroup acting on the full 2 x 2 matrix algebra and having an absorbing pure state. We prove that for any initial state …