output
20022026
most citedExponential localization of Wannier functions in insulators

421 citations

Showing 2006 · math.DSShow all

6 papers · 2 filters

math.DS2006★ 75 cited

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…

math.DS2006

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…

math.DS2006★ 2 cited

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…

math.DS2006

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…

math.DS2006★ 4 cited

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…

math.DS2006

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…