activity
20052017
most citedLarge deviation principles for non-uniformly hyperbolic rational maps

25 citations · 51 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2017★ 2 cited

Improvements of Plachky-Steinebach theorem

Henri Comman

We show that the conclusion of Plachky-Steinebach theorem holds true for intervals of the form , where is the right derivati…

math.DS2015★ 8 cited

Criteria for the density of the graph of the entropy map restricted to ergodic states

Henri Comman

We consider a non-uniquely ergodic dynamical system given by a -action (or -action) on a non-empty compact metrisable space , for some $l\in…

math.DS2015★ 1 cited

Entropy approximation versus uniqueness of equilibrium for a dense affine space of continuous functions

Henri Comman

We show that for a -action (or -action) on a non-empty compact metrizable space , the existence of a affine space dense in the set of continuous…

math.DS2008★ 25 cited

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…

math.DS2008★ 13 cited

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…

math.PR2008★ 1 cited

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…

math-ph2008★ 1 cited

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 …

math.PR2005

Free-differentiability conditions on the free-energy function implying large deviations

Henri Comman

Let be a net of Radon sub-probability measures on the real line, and be a net in converging to 0. Assuming that the generalized log-moment generating…