# Period doubling, entropy, and renormalization

Fundamenta Mathematicae (1998)

- Volume: 155, Issue: 3, page 237-249
- ISSN: 0016-2736

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topHu, Jun, and Tresser, Charles. "Period doubling, entropy, and renormalization." Fundamenta Mathematicae 155.3 (1998): 237-249. <http://eudml.org/doc/212254>.

@article{Hu1998,

abstract = {We show that in any family of stunted sawtooth maps, the set of maps whose set of periods is the set of all powers of 2 has no interior point. Similar techniques then allow us to show that, under mild assumptions, smooth multimodal maps whose set of periods is the set of all powers of 2 are infinitely renormalizable with the diameters of all periodic intervals going to zero as the period goes to infinity.},

author = {Hu, Jun, Tresser, Charles},

journal = {Fundamenta Mathematicae},

keywords = {renormalization; topological entropy; sawtooth maps; multimodal maps},

language = {eng},

number = {3},

pages = {237-249},

title = {Period doubling, entropy, and renormalization},

url = {http://eudml.org/doc/212254},

volume = {155},

year = {1998},

}

TY - JOUR

AU - Hu, Jun

AU - Tresser, Charles

TI - Period doubling, entropy, and renormalization

JO - Fundamenta Mathematicae

PY - 1998

VL - 155

IS - 3

SP - 237

EP - 249

AB - We show that in any family of stunted sawtooth maps, the set of maps whose set of periods is the set of all powers of 2 has no interior point. Similar techniques then allow us to show that, under mild assumptions, smooth multimodal maps whose set of periods is the set of all powers of 2 are infinitely renormalizable with the diameters of all periodic intervals going to zero as the period goes to infinity.

LA - eng

KW - renormalization; topological entropy; sawtooth maps; multimodal maps

UR - http://eudml.org/doc/212254

ER -

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