Title
Normal distributions of finite Markov chains
Abstract
We show that the stationary distribution of a finite Markov chain can be expressed as the sum of certain normal distributions. These normal distributions are associated to planar graphs consisting of a straight line with attached loops. The loops touch only at one vertex either of the straight line or of another attached loop. Our analysis is based on our previous work, which derives the stationary distribution of a finite Markov chain using semaphore codes on the Karnofsky--Rhodes and McCammond expansion of the right Cayley graph of the finite semigroup underlying the Markov chain.
Year
DOI
Venue
2019
10.1142/s0218196719500577
IJAC
Field
DocType
Citations 
Line (geometry),Combinatorics,Normal distribution,Vertex (geometry),Cayley graph,Markov chain,Stationary distribution,Semigroup,Mathematics,Planar graph
Journal
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
John Rhodes18920.04
Anne Schilling2176.74