Crossref Citations
                  This article has been cited by the following publications. This list is generated based on data provided by Crossref.
                                
                                    
                                    Sidorov, Nikita
                                  2009.
                                  Expansions in non-integer bases: Lower, middle and top orders.
                                  
                                  
                                  Journal of Number Theory, 
                                  Vol. 129, 
                                  Issue. 4, 
                                
                                    p. 
                                    741.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Kempton, Tom
                                  2013.
                                  Counting $$\beta $$ -expansions and the absolute continuity of Bernoulli convolutions.
                                  
                                  
                                  Monatshefte für Mathematik, 
                                  Vol. 171, 
                                  Issue. 2, 
                                
                                    p. 
                                    189.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Bruin, Henk
                                     and 
                                    Kalle, Charlene
                                  2014.
                                  Natural extensions for piecewise affine maps via Hofbauer towers.
                                  
                                  
                                  Monatshefte für Mathematik, 
                                  Vol. 175, 
                                  Issue. 1, 
                                
                                    p. 
                                    65.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Dajani, Karma
                                    
                                    Jiang, Kan
                                     and 
                                    Kempton, Tom
                                  2014.
                                  Self-affine sets with positive Lebesgue measure.
                                  
                                  
                                  Indagationes Mathematicae, 
                                  Vol. 25, 
                                  Issue. 4, 
                                
                                    p. 
                                    774.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Kong, Derong
                                     and 
                                    Li, Wenxia
                                  2015.
                                  Hausdorff dimension of unique beta expansions.
                                  
                                  
                                  Nonlinearity, 
                                  Vol. 28, 
                                  Issue. 1, 
                                
                                    p. 
                                    187.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Zou, Yuru
                                    
                                    Wang, Lijin
                                    
                                    Lu, Jian
                                     and 
                                    Baker, Simon
                                  2016.
                                  ON SMALL BASES FOR WHICH 1 HAS COUNTABLY MANY EXPANSIONS.
                                  
                                  
                                  Mathematika, 
                                  Vol. 62, 
                                  Issue. 2, 
                                
                                    p. 
                                    362.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    de Vries, Martijn
                                    
                                    Komornik, Vilmos
                                     and 
                                    Loreti, Paola
                                  2016.
                                  Topology of the set of univoque bases.
                                  
                                  
                                  Topology and its Applications, 
                                  Vol. 205, 
                                  Issue. , 
                                
                                    p. 
                                    117.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Jitsumatsu, Yutaka
                                     and 
                                    Matsumura, Kazuya
                                  2016.
                                  A <I>β</I>-ary to binary conversion for random number generation using a <I>β</I> encoder.
                                  
                                  
                                  Nonlinear Theory and Its Applications, IEICE, 
                                  Vol. 7, 
                                  Issue. 1, 
                                
                                    p. 
                                    38.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Zou, Yuru
                                     and 
                                    Kong, Derong
                                  2016.
                                  On a problem of countable expansions.
                                  
                                  
                                  Journal of Number Theory, 
                                  Vol. 158, 
                                  Issue. , 
                                
                                    p. 
                                    134.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Jiang, Kan
                                     and 
                                    Dajani, Karma
                                  2017.
                                  Shrinking random β-transformation.
                                  
                                  
                                  Indagationes Mathematicae, 
                                  Vol. 28, 
                                  Issue. 1, 
                                
                                    p. 
                                    74.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Jiang, Kan
                                     and 
                                    Dajani, Karma
                                  2017.
                                  Subshifts of finite type and self-similar sets.
                                  
                                  
                                  Nonlinearity, 
                                  Vol. 30, 
                                  Issue. 2, 
                                
                                    p. 
                                    659.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Tan, Bo
                                     and 
                                    Zhang, Liling
                                  2019.
                                  On small bases which admit countably many expansions with multiple digits.
                                  
                                  
                                  Journal of Number Theory, 
                                  Vol. 196, 
                                  Issue. , 
                                
                                    p. 
                                    87.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    SUZUKI, SHINTARO
                                  2019.
                                  Invariant density functions of random -transformations.
                                  
                                  
                                  Ergodic Theory and Dynamical Systems, 
                                  Vol. 39, 
                                  Issue. 4, 
                                
                                    p. 
                                    1099.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    BAKER, SIMON
                                  2020.
                                  Digit frequencies and self-affine sets with non-empty interior.
                                  
                                  
                                  Ergodic Theory and Dynamical Systems, 
                                  Vol. 40, 
                                  Issue. 7, 
                                
                                    p. 
                                    1755.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Dajani, Karma
                                    
                                    Kalle, Charlene
                                     and 
                                    Maggioni, Marta
                                  2021.
                                  Matching for random systems with an application to minimal weight expansions.
                                  
                                  
                                  Nonlinearity, 
                                  Vol. 34, 
                                  Issue. 6, 
                                
                                    p. 
                                    3676.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    KALLE, CHARLENE
                                     and 
                                    MAGGIONI, MARTA
                                  2022.
                                  Invariant densities for random systems of the interval.
                                  
                                  
                                  Ergodic Theory and Dynamical Systems, 
                                  Vol. 42, 
                                  Issue. 1, 
                                
                                    p. 
                                    141.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Kalle, Charlene
                                    
                                    Matache, Valentin
                                    
                                    Tsujii, Masato
                                     and 
                                    Verbitskiy, Evgeny
                                  2022.
                                  Invariant densities for random continued fractions.
                                  
                                  
                                  Journal of Mathematical Analysis and Applications, 
                                  Vol. 512, 
                                  Issue. 2, 
                                
                                    p. 
                                    126163.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Dajani, K.
                                     and 
                                    Power, K.
                                  2022.
                                  Equilibrium states for the random $$\beta$$- transformation through $$g$$-measures.
                                  
                                  
                                  Acta Mathematica Hungarica, 
                                  Vol. 166, 
                                  Issue. 1, 
                                
                                    p. 
                                    70.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Suzuki, Shintaro
                                     and 
                                    Takahasi, Hiroki
                                  2023.
                                  Distribution of cycles for one-dimensional random dynamical systems.
                                  
                                  
                                  Journal of Mathematical Analysis and Applications, 
                                  Vol. 527, 
                                  Issue. 2, 
                                
                                    p. 
                                    127465.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    TIERCE, YOUNÈS
                                  2023.
                                  The natural extension of the random beta-transformation.
                                  
                                  
                                  Ergodic Theory and Dynamical Systems, 
                                  Vol. 43, 
                                  Issue. 11, 
                                
                                    p. 
                                    3861.
                                
                                
                        
                        
                        
                         
 