Pointwise ergodic theorems for arithmetic sets

Jean Bourgain

Publications Mathématiques de l'IHÉS (1989)

  • Volume: 69, page 5-41
  • ISSN: 0073-8301

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Bourgain, Jean. "Pointwise ergodic theorems for arithmetic sets." Publications Mathématiques de l'IHÉS 69 (1989): 5-41. <http://eudml.org/doc/104056>.

@article{Bourgain1989,
author = {Bourgain, Jean},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {measure-preserving automorphism; polynomial with integer coefficients; pointwise ergodic theorem; Birkhoff's ergodic theorem; return times; ergodic system; inequality on martingales},
language = {eng},
pages = {5-41},
publisher = {Institut des Hautes Études Scientifiques},
title = {Pointwise ergodic theorems for arithmetic sets},
url = {http://eudml.org/doc/104056},
volume = {69},
year = {1989},
}

TY - JOUR
AU - Bourgain, Jean
TI - Pointwise ergodic theorems for arithmetic sets
JO - Publications Mathématiques de l'IHÉS
PY - 1989
PB - Institut des Hautes Études Scientifiques
VL - 69
SP - 5
EP - 41
LA - eng
KW - measure-preserving automorphism; polynomial with integer coefficients; pointwise ergodic theorem; Birkhoff's ergodic theorem; return times; ergodic system; inequality on martingales
UR - http://eudml.org/doc/104056
ER -

Citations in EuDML Documents

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  1. Y. Lacroix, Natural Extensions and Mixing for Semi-Group Actions
  2. R. Nair, On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II
  3. I. Assani, A weighted pointwise ergodic theorem
  4. Michael T. Lacey, The return time theorem fails on infinite measure-preserving systems
  5. P. Auscher, M. Carro, On relations between operators on R^{N}, T^{N} and Z^{N}
  6. Jean-Marc Derrien, Emmanuel Lesigne, Un théorème ergodique polynômial ponctuel pour les endomorphismes exacts et les K-systèmes
  7. Michael Lacey, Karl Petersen, Mate Wierdl, Dan Rudolph, Random ergodic theorems with universally representative sequences
  8. Christian Le Merdy, Quanhua Xu, Strong q -variation inequalities for analytic semigroups
  9. Albert Mas, Variational inequalities for singular integral operators
  10. E. Lesigne, C. Mauduit, B. Mosse, Le théorème ergodique le long d’une suite q -multiplicative

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