Linear bijective maps preserving fixed values of products of matrices at fixed vectors

2021 ◽  
pp. 1-7
Author(s):  
Constantin Costara
Keyword(s):  
Products Of Matrices

scholarly journals Preservers of unitary similarity functions on Lie products of matrices

2016 ◽  
Vol 498 ◽  
pp. 160-180 ◽  
Author(s):  
Jianlian Cui ◽  
Chi-Kwong Li ◽  
Yiu-Tung Poon
Keyword(s):  
Unitary Similarity ◽  
Similarity Functions ◽  
Products Of Matrices

scholarly journals Linear maps preserving r-potents of tensor products of matrices

2017 ◽  
Vol 520 ◽  
pp. 67-76
Author(s):  
Jinli Xu ◽  
Ajda Fošner ◽  
Baodong Zheng ◽  
Yuting Ding
Keyword(s):  
Tensor Products ◽  
Linear Maps ◽  
Products Of Matrices

Hadamard products of matrices

1974 ◽  
Vol 1 (4) ◽  
pp. 295-307 ◽  
Author(s):  
Charles R. Johnson
Keyword(s):  
Hadamard Products ◽  
Products Of Matrices

scholarly journals On the Hausdorff Dimension of Bernoulli Convolutions

2018 ◽  
Vol 2020 (19) ◽  
pp. 6569-6595 ◽  
Author(s):  
Shigeki Akiyama ◽  
De-Jun Feng ◽  
Tom Kempton ◽  
Tomas Persson
Keyword(s):  
Hausdorff Dimension ◽  
Rate Of Convergence ◽  
Finite Time ◽  
Time Algorithm ◽  
Bernoulli Convolution ◽  
Bernoulli Convolutions ◽  
Explicit Rate ◽  
Products Of Matrices

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 $\operatorname{dim_H} (\nu _{\beta })=1$.

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