The basic ergodic theorems, yet again

Abstract A generalization of Rokhlin’s Tower Lemma is presented. The Maximal Ergodic Theorem is then obtained as a corollary. We also use the generalized Rokhlin lemma, this time combined with a subadditive version of Kac’s formula, to deduce a subadditive version of the Maximal...

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Autor principal:	Bochi,Jairo
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
Materias:	Maximal ergodic theorem Birkhoff’s ergodic theorem Rokhlin lemma Kingman’s subadditive ergodic theorem.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300081
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

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spelling	oai:scielo:S0719-064620180003000812019-03-08The basic ergodic theorems, yet againBochi,Jairo Maximal ergodic theorem Birkhoff’s ergodic theorem Rokhlin lemma Kingman’s subadditive ergodic theorem. Abstract A generalization of Rokhlin’s Tower Lemma is presented. The Maximal Ergodic Theorem is then obtained as a corollary. We also use the generalized Rokhlin lemma, this time combined with a subadditive version of Kac’s formula, to deduce a subadditive version of the Maximal Ergodic Theorem due to Silva and Thieullen. In both the additive and subadditive cases, these maximal theorems immediately imply that “heavy” points have positive probability. We use heaviness to prove the pointwise ergodic theorems of Birkhoff and Kingman.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.20 n.3 20182018-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300081en10.4067/S0719-06462018000300081
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Maximal ergodic theorem Birkhoff’s ergodic theorem Rokhlin lemma Kingman’s subadditive ergodic theorem.
spellingShingle	Maximal ergodic theorem Birkhoff’s ergodic theorem Rokhlin lemma Kingman’s subadditive ergodic theorem. Bochi,Jairo The basic ergodic theorems, yet again
description	Abstract A generalization of Rokhlin’s Tower Lemma is presented. The Maximal Ergodic Theorem is then obtained as a corollary. We also use the generalized Rokhlin lemma, this time combined with a subadditive version of Kac’s formula, to deduce a subadditive version of the Maximal Ergodic Theorem due to Silva and Thieullen. In both the additive and subadditive cases, these maximal theorems immediately imply that “heavy” points have positive probability. We use heaviness to prove the pointwise ergodic theorems of Birkhoff and Kingman.
author	Bochi,Jairo
author_facet	Bochi,Jairo
author_sort	Bochi,Jairo
title	The basic ergodic theorems, yet again
title_short	The basic ergodic theorems, yet again
title_full	The basic ergodic theorems, yet again
title_fullStr	The basic ergodic theorems, yet again
title_full_unstemmed	The basic ergodic theorems, yet again
title_sort	basic ergodic theorems, yet again
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300081
work_keys_str_mv	AT bochijairo thebasicergodictheoremsyetagain AT bochijairo basicergodictheoremsyetagain
_version_	1714206801525735424

The basic ergodic theorems, yet again

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