1 citations · 1 across the 7 of their papers we have counts for
8 papers
Continuity of Hausdorff Dimension at Hopf Bifurcation
Vanderlei Horita, Oyran Rayzzaro
We investigate the continuity of Hausdorff dimension and box dimension (limit capacity) of non-hyperbolic repellers of diffeomorphisms derived from transitive Anosov diffeomophisms…
Invariant Measures of Non-Uniformly Expanding Maps with Higher Order Critical Set
Ricardo Chicalé, Vanderlei Horita
We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in arXiv:2312.009…
Building Expansion for Generalizations of Viana Maps
Vanderlei Horita, Nivaldo Muniz, Olivier Sester
In a seminal paper, Viana built examples of maps presenting two positive Lyapunov exponents exploring skew-products of a (uniformly) expanding map and a quadratic map (order 2 crit…
On the Integrability of codimension-one invariant subbundles of partially hyperbolic skew-products
Ricardo C. Lemes, Vanderlei M. Horita
We prove there is a class of maps such that a conservative dynamically coherent partially hyperbolic skew-product on $\mathbb{T}^{2n}\tim…
Stable Ergodicity and Accessibility for certain Partially Hyperbolic Diffeomorphisms with Bidimensional Center Leaves
Vanderlei Horita, Martin Sambarino
We consider classes of partially hyperbolic diffeomorphism with splitting and . These classes include for instance (perturbation…
-Genericity of Symplectic Diffeomorphisms and Lower Bounds for Topological Entropy
Thiago Catalan, Vanderlei Horita
There is a -residual (Baire second class) subset of symplectic diffeomorphisms on -dimensional manifold, , such that for every non-Anosov in $\m…