# Minimal self-joinings and positive topological entropy II

François Blanchard; Jan Kwiatkowski

Studia Mathematica (1998)

- Volume: 128, Issue: 2, page 121-133
- ISSN: 0039-3223

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topBlanchard, François, and Kwiatkowski, Jan. "Minimal self-joinings and positive topological entropy II." Studia Mathematica 128.2 (1998): 121-133. <http://eudml.org/doc/216478>.

@article{Blanchard1998,

abstract = {An effective construction of positive-entropy almost one-to-one topological extensions of the Chacón flow is given. These extensions have the property of almost minimal power joinings. For each possible value of entropy there are uncountably many pairwise non-conjugate such extensions.},

author = {Blanchard, François, Kwiatkowski, Jan},

journal = {Studia Mathematica},

keywords = {topological coalescence; self-joinings; topological entropy; positive-entropy almost one-to-one extensions; Chacon flow},

language = {eng},

number = {2},

pages = {121-133},

title = {Minimal self-joinings and positive topological entropy II},

url = {http://eudml.org/doc/216478},

volume = {128},

year = {1998},

}

TY - JOUR

AU - Blanchard, François

AU - Kwiatkowski, Jan

TI - Minimal self-joinings and positive topological entropy II

JO - Studia Mathematica

PY - 1998

VL - 128

IS - 2

SP - 121

EP - 133

AB - An effective construction of positive-entropy almost one-to-one topological extensions of the Chacón flow is given. These extensions have the property of almost minimal power joinings. For each possible value of entropy there are uncountably many pairwise non-conjugate such extensions.

LA - eng

KW - topological coalescence; self-joinings; topological entropy; positive-entropy almost one-to-one extensions; Chacon flow

UR - http://eudml.org/doc/216478

ER -

## References

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- [delJRaSw] A. del Junco, A. M. Rahe and L. Swanson, Chacón's automorphism has minimal self-joinings, J. Analyse Math. 37 (1980), 276-284. Zbl0445.28014
- [King] J. King, A map with topological minimal self-joinings in the sense of del Junco, Ergodic Theory Dynam. Systems 10 (1990), 745-761. Zbl0726.28014
- [Mar] N. Markley, Topological minimal self-joinings, ibid. 3 (1983), 579-599. Zbl0562.54057
- [New] D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. (2) 19 (1979), 129-136. Zbl0425.28012
- [Rud] D. J. Rudolph, An example of a measure preserving map with minimal self-joinings, and applications, J. Analyse Math. 35 (1979), 97-122. Zbl0446.28018
- [Wal] P. Walters, Affine transformations and coalescence, Math. Systems Theory 8 (1974), 33-44. Zbl0299.22008

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