Minimality and stable Bernoulliness in dimension 3

Gabriel Núñez; Jana Rodriguez Hertz

doi:10.3934/dcds.2020097

Article Contents

2020, Volume 40, Issue 3: 1879-1887. Doi: 10.3934/dcds.2020097

This issue Previous Article Convergence to equilibrium for a bulk–surface Allen–Cahn system coupled through a nonlinear Robin boundary condition Next Article Long-time behavior for a class of weighted equations with degeneracy

Minimality and stable Bernoulliness in dimension 3

Gabriel Núñez^1,2, and
Jana Rodriguez Hertz^3,4,

1.
IMERL, Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, 11.300 Montevideo, Uruguay
2.
Departamento de Ciencias Exactas y Naturales, Facultad de Ingeniería y Tecnologías, Universidad Católica del Uruguay, Comandante Braga 2715, 11.600 Montevideo, Uruguay
3.
Department of Mathematics, Southern University of Science and Technology of China, No 1088, Xueyuan Rd., Xili, Nanshan District, Shenzhen, Guangdong 518055, China
4.
SUSTech International Center for Mathematics, No 1088, Xueyuan Rd., Xili, Nanshan District, Shenzhen, Guangdong 518055, China

Received: June 30, 2019

Revised: August 31, 2019

Published: December 2019

GN was supported by Agencia Nacional de Investigación e Innovación. The research that gives rise to the results presented in this publication received funds from the Agencia Nacional de Investigación e Innovación under the code POS_NAC_2014_1_102348
JRH was supported by SUSTech, the project NSFC 11871262 and the SUSTech International Center for Mathematics
It is NSFC No. 11871394 for JRH

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Abstract

In 3-dimensional manifolds, we prove that generically in $ \operatorname{Diff}^{1}_{m}(M^{3}) $, the existence of a minimal expanding invariant foliation implies stable Bernoulliness.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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References

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