Publications

Publications by João Paulo Almeida

2018

Operational Research

Authors
Vaz, AIF; Almeida, JP; Oliveira, JF; Pinto, AA;

Publication
Springer Proceedings in Mathematics & Statistics

Abstract

2010

Pinto's Golden Tilings

Authors
Almeida, JP;

Publication
Discrete Dynamics and Difference Equations

Abstract

2012

GOLDEN TILINGS

Authors
Pinto, AA; Almeida, JP; Portela, A;

Publication
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Abstract
We introduce the notion of golden tilings, and we prove a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, (ii) affine classes of golden tilings and (iii) solenoid functions. The solenoid functions give a parametrization of the infinite dimensional space consisting of the mathematical objects described in the above equivalences.

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2011

Anosov and Circle Diffeomorphisms

Authors
Almeida, JP; Fisher, AM; Pinto, AA; Rand, DA;

Publication
DYNAMICS, GAMES AND SCIENCE I

Abstract
We present an infinite dimensional space of C1+ smooth conjugacy classes of circle diffeomorphisms that are C1+ fixed points of renormalization. We exhibit a one-to-one correspondence between these C1+ fixed points of renormalization and C1+ conjugacy classes of Anosov diffeomorphisms.

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