Iterations of the Frobenius-Perron operator for parabolic random maps

Zbigniew S. Kowalski

Fundamenta Mathematicae (2009)

  • Volume: 202, Issue: 3, page 241-250
  • ISSN: 0016-2736

Abstract

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We describe totally dissipative parabolic extensions of the one-sided Bernoulli shift. For the fractional linear case we obtain conservative and totally dissipative families of extensions. Here, the property of conservativity seems to be extremely unstable.

How to cite

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Zbigniew S. Kowalski. "Iterations of the Frobenius-Perron operator for parabolic random maps." Fundamenta Mathematicae 202.3 (2009): 241-250. <http://eudml.org/doc/283276>.

@article{ZbigniewS2009,
abstract = {We describe totally dissipative parabolic extensions of the one-sided Bernoulli shift. For the fractional linear case we obtain conservative and totally dissipative families of extensions. Here, the property of conservativity seems to be extremely unstable.},
author = {Zbigniew S. Kowalski},
journal = {Fundamenta Mathematicae},
keywords = {Bernoulli shift; parabolic extension; conservative; totally dissipative; Frobenius–Perron operator},
language = {eng},
number = {3},
pages = {241-250},
title = {Iterations of the Frobenius-Perron operator for parabolic random maps},
url = {http://eudml.org/doc/283276},
volume = {202},
year = {2009},
}

TY - JOUR
AU - Zbigniew S. Kowalski
TI - Iterations of the Frobenius-Perron operator for parabolic random maps
JO - Fundamenta Mathematicae
PY - 2009
VL - 202
IS - 3
SP - 241
EP - 250
AB - We describe totally dissipative parabolic extensions of the one-sided Bernoulli shift. For the fractional linear case we obtain conservative and totally dissipative families of extensions. Here, the property of conservativity seems to be extremely unstable.
LA - eng
KW - Bernoulli shift; parabolic extension; conservative; totally dissipative; Frobenius–Perron operator
UR - http://eudml.org/doc/283276
ER -

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