421 citations
- Sorbonne UniversitéFR452 papers
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6 papers · 2 filters
On the susceptibility function of piecewise expanding interval maps
Viviane Baladi
We study the susceptibility function Psi(z) associated to the perturbation f_t=f+tX of a piecewise expanding interval map f. The analysis is based on a spectral description of tran…
Continuity of Lyapunov exponents for polynomial automorphisms of
Romain Dujardin
We prove two continuity theorems for the Lyapunov exponents of the maximal entropy measure of polynomial automorphisms of . The first continuity result holds for any…
Degree growth of meromorphic surface maps
S. Boucksom, C. Favre, M. Jonsson
We study the degree growth of iterates of meromorphic selfmaps of compact Kahler surfaces. Using cohomology classes on the Riemann-Zariski space we show that the degrees grow simil…
Upper bound for topological entropy of a meromorphic correspondence
Tien-Cuong Dinh, Nessim Sibony
Let f be a meromorphic correspondence on a compact Kahler manifold. We show that the topological entropy of f is bounded from above by the logarithm of its maximal dynamical degree…
A local limit theorem with speed of convergence for Euclidean algorithms and diophantine costs
Viviane Baladi, Aïcha Hachemi
For large , we consider the ordinary continued fraction of with , or, equivalently, Euclid's gcd algorithm for two integers , putting…
On Thermodynamics of Rational Maps on the Riemann sphere
Tien-Cuong Dinh, Viet-Anh Nguyen, Nessim Sibony
We show that there is a spectral gap for the transfer operator associated to a rational map f on the Riemann sphere. Using this and the method of pertubed operators we establish th…