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http://hdl.handle.net/2080/3102| 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. |
| URI: | http://hdl.handle.net/2080/3102 |
| Appears in Collections: | Conference Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018_IntegerConference_GKPanda_AppearanceBalancing.pdf | Invited Talk | 1.84 MB | Adobe PDF | View/Open |
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