Transversal families of piecewise expanding maps

• Grant number: 10/17419-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2011
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Smania Brandão
• Grantee: Amanda de Lima
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 08/02841-4 - Topology, geometry and ergodic theory of dynamical systems, AP.TEM

Abstract

We will study how the dynamics changes, in the topological and measure-theoretical point of view, in smooth families of piecewise expanding transformations satisfying a generic condition, namely, those families that are transversal to topological classes of piecewise expanding maps.

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE LIMA, AMANDA; SMANIA, DANIEL. On infinitely cohomologous to zero observables. Ergodic Theory and Dynamical Systems, v. 33, n. 2, p. 375-399, APR 2013. (03/03107-9, 10/17419-6, 10/08654-1, 08/02841-4)

DE LIMA, AMANDA; SMANIA, DANIEL. Central limit theorem for generalized Weierstrass functions. Stochastics and Dynamics, v. 19, n. 1, FEB 2019. (10/17419-6, 17/06463-3)

DE LIMA, AMANDA; SMANIA, DANIEL. CENTRAL LIMIT THEOREM FOR THE MODULUS OF CONTINUITY OF AVERAGES OF OBSERVABLES ON TRANSVERSAL FAMILIES OF PIECEWISE EXPANDING UNIMODAL MAPS. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, v. 17, n. 3, p. 673-733, JUN 2018. (10/17419-6)

DE LIMA, AMANDA; SMANIA, DANIEL. On infinitely cohomologous to zero observables. Ergodic Theory and Dynamical Systems, v. 33, p. 25-pg., 2013-04-01. (10/17419-6, 10/08654-1, 03/03107-9, 08/02841-4)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

LIMA, Amanda de. Transversal families of piecewise expanding maps. 2015. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.