This is the first paper in a two-part series devoted to studying the Hausdorff dimension of invariant sets of non-uniformly hyperbolic, non-conformal maps. Here we consider a general abstract model, that we call piecewise ...

In this paper, we study non-uniformly expanding repellers constructed as the limit sets for a non-uniformly expanding dynamical systems. We prove that given a Holder continuous potential phi satisfying a summability ...

We prove that Hénon-like strange attractors of diffeomorphisms in any dimensions, such as considered in [2],[7], and [9] support a unique Sinai-Ruelle-Bowen (SRB) measure and have the no-hole property: Lebesgue almost every ...

O objetivo deste trabalho é relatar uma experiência com o Estágio Curricular Supervisionado no curso de Licenciatura em Matemática, nos períodos diurno e noturno, da UNESP – São José do Rio Preto - SP. Apresentaremos a ...

A procura dos professores do ensino fundamental por metodologias alternativas de ensino de matemática na universidade, tem sido freqüente. Neste trabalho, será apresentada a metodologia de ensino proposta aos professores ...

In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These ...

Alternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x s - 1 over the unit group of an appropriate ...

Goppa and Srivastava codes over arbitrary local finite commutative rings with identity are constructed in terms of parity-cleck matrices. An efficient decoding procedure, based on the modified Berlekamp-Massey algorithm, ...

We study the topological K-equivalence of function-germs (a"e (n) , 0) -> (a"e, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect ...

We prove that a 'positive probability' subset of the boundary of '{uniformly expanding circle transformations}' consists of Kupka-Smale maps. More precisely, we construct an open class of two-parameter families of circle ...