scholarly journals Young measures supported on invertible matrices

2013 ◽  
Vol 93 (1) ◽  
pp. 105-123 ◽  
Author(s):  
Barbora Benešová ◽  
Martin Kružík ◽  
Gabriel Pathó
Keyword(s):  
Young Measures ◽  
Invertible Matrices

scholarly journals A $q$-Analogue of de Finetti's Theorem

10.37236/167 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Alexander Gnedin ◽  
Grigori Olshanski
Keyword(s):  
Boundary Problem ◽  
Galois Field ◽  
Infinite Group ◽  
Natural Action ◽  
De Finetti’S Theorem ◽  
De Finetti's Theorem ◽  
Invertible Matrices

A $q$-analogue of de Finetti's theorem is obtained in terms of a boundary problem for the $q$-Pascal graph. For $q$ a power of prime this leads to a characterisation of random spaces over the Galois field ${\Bbb F}_q$ that are invariant under the natural action of the infinite group of invertible matrices with coefficients from ${\Bbb F}_q$.

scholarly journals On the structure of least common multiple matrices from some class of matrices

2018 ◽  
Vol 10 (1) ◽  
pp. 179-184
Author(s):  
A.M. Romaniv
Keyword(s):  
Normal Form ◽  
Normal Forms ◽  
Smith Normal Form ◽  
Least Common Multiple ◽  
The Matrix ◽  
Singular Matrices ◽  
Class Of Matrices ◽  
Smith Normal Forms ◽  
Invertible Matrices ◽  
Principal Ideal Domains

For non-singular matrices with some restrictions, we establish the relationships between Smith normal forms and transforming matrices (a invertible matrices that transform the matrix to its Smith normal form) of two matrices with corresponding matrices of their least common right multiple over a commutative principal ideal domains. Thus, for such a class of matrices, given answer to the well-known task of M. Newman. Moreover, for such matrices, received a new method for finding their least common right multiple which is based on the search for its Smith normal form and transforming matrices.

scholarly journals YOUNG MEASURES, CARTESIAN MAPS, AND POLYCONVEXITY

2010 ◽  
Vol 47 (2) ◽  
pp. 331-350 ◽  
Author(s):  
Patrick Bernard ◽  
Ugo Bessi
Keyword(s):  
Young Measures

Note on invertible matrices over commutative semirings

2015 ◽  
Vol 64 (3) ◽  
pp. 477-483 ◽  
Author(s):  
Ya-lin Liao ◽  
Xue-ping Wang
Keyword(s):  
Invertible Matrices
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