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Title: Appearance of Balancing and Related Number Sequences in Steady State Probabilities of Some Markov Chains
Authors: Panda, Gopal Krishna
Patra, Asim
Keywords: Number sequence
Steady state probability
Markov chains
Issue Date: Oct-2018
Citation: Integers Conference ( 2018 ), Augusta,Georgia, USA, 03-06 October, 2018
Abstract: Balancing and Lucas-balancing numbers are solutions of a Diophantine equation and satisfy a second order homogeneous recurrence relation. Interestingly, these numbers can be seen as numerators and denominators in the steady state probabilities of a class of transition probability matrices of Markov chains. An identity relating the balancing numbers and the silver ratio can be obtained as a byproduct.
Description: Copyright of this document belongs to proceedings publisher.
Appears in Collections:Conference Papers

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