A note on the Greedy [beta-]transformation with arbitrary digits

K. Dajani; C.C.C.J. Kalle

A note on the Greedy [beta-]transformation with arbitrary digits

K. Dajani, C.C.C.J. Kalle

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider a generalization of the greedy and lazy [beta]expansions with digit set A = fa0 <a1 < <amg. We prove that the transformation generating such expansions admits a unique absolutely continuous invariant ergodic measure. Furthermore, the support of this measure is an interval.

Original language	English
Pages (from-to)	83-104
Number of pages	22
Journal	Séminaires et congrès : collection SMF
Volume	20
Publication status	Published - 2011

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title = "A note on the Greedy [beta-]transformation with arbitrary digits",

abstract = "We consider a generalization of the greedy and lazy [beta]expansions with digit set A = fa0 <a1 < <amg. We prove that the transformation generating such expansions admits a unique absolutely continuous invariant ergodic measure. Furthermore, the support of this measure is an interval.",

author = "K. Dajani and C.C.C.J. Kalle",

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AU - Kalle, C.C.C.J.

PY - 2011

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AB - We consider a generalization of the greedy and lazy [beta]expansions with digit set A = fa0 <a1 < <amg. We prove that the transformation generating such expansions admits a unique absolutely continuous invariant ergodic measure. Furthermore, the support of this measure is an interval.

M3 - Article

SN - 1285-2783

VL - 20

SP - 83

EP - 104

JO - Séminaires et congrès : collection SMF

JF - Séminaires et congrès : collection SMF

ER -

A note on the Greedy [beta-]transformation with arbitrary digits

Abstract

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