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Ergodic transport theory and piecewise analytic subactions for analytic dynamics
We consider a piecewise analytic real expanding map f : [0, 1] → [0, 1] of degree d which preserves orientation, and a real analytic positive...
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Zeta measures and Thermodynamic Formalism for temperature zero
We address the analysis of the following problem: given a real Hölder potential f defined on the Bernoulli space and μ f its equilibrium state, it is...
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Repellers for non-uniformly expanding maps with singular or critical points
GivenanergodicmeasurewithpositiveentropyandonlypositiveLyapunov exponents, its dynamical quantifiers can be approximated by means of quantifiers of...
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Degeneracy in the length spectrum for metric graphs
In this note we show that the length spectrum for metric graphs exhibits a very high degree of degeneracy. More precisely, we obtain an asymptotic...
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Critical exponents for groups of isometries
Let Γ be a convex co-compact group of isometries of a CAT(−1) space X and let Γ 0 be a normal subgroup of Γ. We show that, provided Γ is a free group,...