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Finite beta-expansions

JOURNAL ARTICLE published December 1992 in Ergodic Theory and Dynamical Systems

Authors: Christiane Frougny | Boris Solomyak

On numbers having finite beta-expansions

JOURNAL ARTICLE published October 2009 in Ergodic Theory and Dynamical Systems

Authors: TOUFIK ZAÏMI

Random beta-expansions

JOURNAL ARTICLE published April 2003 in Ergodic Theory and Dynamical Systems

Authors: KARMA DAJANI | COR KRAAIKAMP

On coincidence of entropies for two classes of dynamical systems

JOURNAL ARTICLE published June 1998 in Ergodic Theory and Dynamical Systems

Authors: RITA SOLOMYAK

A family of non-sofic beta expansions

JOURNAL ARTICLE published April 2016 in Ergodic Theory and Dynamical Systems

Authors: SHIGEKI AKIYAMA

Second-order ergodic theorem for self-similar tiling systems

JOURNAL ARTICLE published December 2014 in Ergodic Theory and Dynamical Systems

Authors: KONSTANTIN MEDYNETS | BORIS SOLOMYAK

On the beta-expansions of 1 and algebraic numbers for a Salem number beta

JOURNAL ARTICLE published June 2015 in Ergodic Theory and Dynamical Systems

Authors: HAJIME KANEKO

Beta-expansions of -adic numbers

JOURNAL ARTICLE published May 2016 in Ergodic Theory and Dynamical Systems

Authors: KLAUS SCHEICHER | VÍCTOR F. SIRVENT | PAUL SURER

Spectral cocycle for substitution tilings

JOURNAL ARTICLE published 18 September 2023 in Ergodic Theory and Dynamical Systems

Research funded by Israel Science Foundation (911/19)

Authors: BORIS SOLOMYAK | RODRIGO TREVIÑO

Polynomial beta functions

JOURNAL ARTICLE published September 1994 in Ergodic Theory and Dynamical Systems

Authors: Valerio De Angelis

Dynamics of self-similar tilings

JOURNAL ARTICLE published June 1997 in Ergodic Theory and Dynamical Systems

Authors: BORIS SOLOMYAK

Computability by finite automata and pisot bases

JOURNAL ARTICLE published May 1994 in Mathematical Systems Theory

Authors: Daniel Berend | Christiane Frougny

Two-symbol Pisot substitutions have pure discrete spectrum

JOURNAL ARTICLE published April 2003 in Ergodic Theory and Dynamical Systems

Authors: MICHAEL HOLLANDER | BORIS SOLOMYAK

Periodic unique beta-expansions: the Sharkovskiĭ ordering

JOURNAL ARTICLE published August 2009 in Ergodic Theory and Dynamical Systems

Authors: JEAN-PAUL ALLOUCHE | MATTHEW CLARKE | NIKITA SIDOROV

Singular substitutions of constant length

JOURNAL ARTICLE published September 2019 in Ergodic Theory and Dynamical Systems

Authors: ARTEMI BERLINKOV | BORIS SOLOMYAK

BETA-INTEGERS AS A GROUP

PROCEEDINGS ARTICLE published July 2000 in Dynamical Systems

Authors: ČESTMIR BURDíK | CHRISTIANE FROUGNY | JEAN-PIERRE GAZEAU | RUDOLPH KREJCAR

Flow equivalence of reducible shifts of finite type

JOURNAL ARTICLE published December 1994 in Ergodic Theory and Dynamical Systems

Authors: Danrung Huang

Topological mixing for substitutions on two letters

JOURNAL ARTICLE published 7 October 2005 in Ergodic Theory and Dynamical Systems

Authors: RICHARD KENYON | LORENZO SADUN | BORIS SOLOMYAK

Quasisymmetric conjugacy between quadratic dynamics and iterated function systems

JOURNAL ARTICLE published December 2010 in Ergodic Theory and Dynamical Systems

Authors: KEMAL ILGAR EROĞLU | STEFFEN ROHDE | BORIS SOLOMYAK

Hausdorff dimension for horseshoes in $mathbb{R}^3$

JOURNAL ARTICLE published October 1999 in Ergodic Theory and Dynamical Systems

Authors: KÁROLY SIMON | BORIS SOLOMYAK