Stochastic matrices realising the boundary of the Karpelevič region

2021 ◽  
Author(s):  
Stephen Kirkland ◽  
Helena Šmigoc
Keyword(s):  
Stochastic Matrices

Products of 2 × 2 stochastic matrices with random entries

1986 ◽  
Vol 23 (04) ◽  
pp. 1019-1024
Author(s):  
Walter Van Assche
Keyword(s):  
Rate Of Convergence ◽  
Beta Distribution ◽  
Stopping Time ◽  
Stochastic Matrices

The limit of a product of independent 2 × 2 stochastic matrices is given when the entries of the first column are independent and have the same symmetric beta distribution. The rate of convergence is considered by introducing a stopping time for which asymptotics are given.

scholarly journals A short note on extreme points of certain polytopes

2020 ◽  
Vol 8 (1) ◽  
pp. 36-39
Author(s):  
Lei Cao ◽  
Ariana Hall ◽  
Selcuk Koyuncu
Keyword(s):  
Short Proof ◽  
Convex Polytopes ◽  
Short Note ◽  
Convex Polytope ◽  
Extreme Points ◽  
Alternative Proof ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Birkhoff's Theorem ◽  
Birkhoff’S Theorem

AbstractWe give a short proof of Mirsky’s result regarding the extreme points of the convex polytope of doubly substochastic matrices via Birkhoff’s Theorem and the doubly stochastic completion of doubly sub-stochastic matrices. In addition, we give an alternative proof of the extreme points of the convex polytopes of symmetric doubly substochastic matrices via its corresponding loopy graphs.

scholarly journals Positional Voting and Doubly Stochastic Matrices

2021 ◽  
Vol 128 (4) ◽  
pp. 337-351
Author(s):  
Jacqueline Anderson ◽  
Brian Camara ◽  
John Pike
Keyword(s):  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Doubly Stochastic Matrices ◽  
Positional Voting

Orthogonal cycle transforms of stochastic matrices

1997 ◽  
Vol 16 (3) ◽  
pp. 363-374 ◽  
Author(s):  
S. Kalpazidou ◽  
Joel E. Cohen
Keyword(s):  
Stochastic Matrices

scholarly journals Relative entropy under mappings by stochastic matrices

1993 ◽  
Vol 179 ◽  
pp. 211-235 ◽  
Author(s):  
Joel E. Cohen ◽  
Yoh Iwasa ◽  
Gh. Rautu ◽  
Mary Beth Ruskai ◽  
Eugene Seneta ◽  
...  
Keyword(s):  
Relative Entropy ◽  
Stochastic Matrices
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