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10 papers · 2 filters
Rigidity of critical circle maps
Pablo Guarino, Marco Martens, Welington de Melo
We prove that any two critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a circle diffeomorphism.…
A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries
Paula Balseiro, Nicola Sansonetto
We study the existence of first integrals in nonholonomic systems with symmetry. First we define the concept of -cotangent lift of a vector field on a manifold in…
Recurrent orbits of subgroups of local complex analytic diffeomorphisms
Javier Ribón
We show recurrent phenomena for orbits of groups of local complex analytic diffeomorphisms that have a certain subgroup or image by a morphism of groups that is non-virtually solva…
Real bounds and Lyapunov exponents
Edson de Faria, Pablo Guarino
We prove that a critical circle map without periodic points has zero Lyapunov exponent with respect to its unique invariant Borel probability measure. Moreover, no critical p…
Poincaré theory for decomposable cofrontiers
Tobias Jäger, Andres Koropecki
We extend Poincaré's theory of orientation-preserving homeomorphisms from the circle to circloids with decomposable boundary. As special cases, this includes both decomposable cofr…
On Equilibrium States for Partially Hyperbolic Horseshoes
Isabel Rios, Jaqueline Siqueira
We prove existence and uniqueness of equilibrium states for a family of partially hyperbolic systems, with respect to Holder continuous potentials with small variation. The family…