Sums and products of matrices with prescribed similarity classes

1990 ◽  
Vol 27 (4) ◽  
pp. 317-323 ◽  
Author(s):  
Fernando C. Silva
Keyword(s):  
2016 ◽  
Vol 498 ◽  
pp. 160-180 ◽  
Author(s):  
Jianlian Cui ◽  
Chi-Kwong Li ◽  
Yiu-Tung Poon

2017 ◽  
Vol 520 ◽  
pp. 67-76
Author(s):  
Jinli Xu ◽  
Ajda Fošner ◽  
Baodong Zheng ◽  
Yuting Ding

1974 ◽  
Vol 1 (4) ◽  
pp. 295-307 ◽  
Author(s):  
Charles R. Johnson

2018 ◽  
Vol 2020 (19) ◽  
pp. 6569-6595 ◽  
Author(s):  
Shigeki Akiyama ◽  
De-Jun Feng ◽  
Tom Kempton ◽  
Tomas Persson

Abstract We give an expression for the Garsia entropy of Bernoulli convolutions in terms of products of matrices. This gives an explicit rate of convergence of the Garsia entropy and shows that one can calculate the Hausdorff dimension of the Bernoulli convolution $\nu _{\beta }$ to arbitrary given accuracy whenever $\beta $ is algebraic. In particular, if the Garsia entropy $H(\beta )$ is not equal to $\log (\beta )$ then we have a finite time algorithm to determine whether or not $\operatorname{dim_H} (\nu _{\beta })=1$.


1976 ◽  
Vol 13 (1-2) ◽  
pp. 53-58 ◽  
Author(s):  
Emeric Deutsch ◽  
P.M. Gibson ◽  
Hans Schneider
Keyword(s):  

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