Tower multiplexing and slow weak mixing

Terrence Adams

Colloquium Mathematicae (2015)

  • Volume: 138, Issue: 1, page 47-71
  • ISSN: 0010-1354

Abstract

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A technique is presented for multiplexing two ergodic measure preserving transformations together to derive a third limiting transformation. This technique is used to settle a question regarding rigidity sequences of weak mixing transformations. Namely, given any rigidity sequence for an ergodic measure preserving transformation, there exists a weak mixing transformation which is rigid along the same sequence. This establishes a wide range of rigidity sequences for weakly mixing dynamical systems.

How to cite

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Terrence Adams. "Tower multiplexing and slow weak mixing." Colloquium Mathematicae 138.1 (2015): 47-71. <http://eudml.org/doc/284215>.

@article{TerrenceAdams2015,
abstract = {A technique is presented for multiplexing two ergodic measure preserving transformations together to derive a third limiting transformation. This technique is used to settle a question regarding rigidity sequences of weak mixing transformations. Namely, given any rigidity sequence for an ergodic measure preserving transformation, there exists a weak mixing transformation which is rigid along the same sequence. This establishes a wide range of rigidity sequences for weakly mixing dynamical systems.},
author = {Terrence Adams},
journal = {Colloquium Mathematicae},
keywords = {weak mixing; ergodic; rigid; rigidity sequence},
language = {eng},
number = {1},
pages = {47-71},
title = {Tower multiplexing and slow weak mixing},
url = {http://eudml.org/doc/284215},
volume = {138},
year = {2015},
}

TY - JOUR
AU - Terrence Adams
TI - Tower multiplexing and slow weak mixing
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 1
SP - 47
EP - 71
AB - A technique is presented for multiplexing two ergodic measure preserving transformations together to derive a third limiting transformation. This technique is used to settle a question regarding rigidity sequences of weak mixing transformations. Namely, given any rigidity sequence for an ergodic measure preserving transformation, there exists a weak mixing transformation which is rigid along the same sequence. This establishes a wide range of rigidity sequences for weakly mixing dynamical systems.
LA - eng
KW - weak mixing; ergodic; rigid; rigidity sequence
UR - http://eudml.org/doc/284215
ER -

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