English

Orthogonality and probability: beyond nearest neighbor transitions

Probability 2008-12-10 v1 Spectral Theory

Abstract

In this article, we will explore why Karlin-McGregor method of using orthogonal polynomials in the study of Markov processes was so successful for one dimensional nearest neighbor processes, but failed beyond nearest neighbor transitions. We will proceed by suggesting and testing possible fixtures.

Keywords

Cite

@article{arxiv.0812.1779,
  title  = {Orthogonality and probability: beyond nearest neighbor transitions},
  author = {Yevgeniy Kovchegov},
  journal= {arXiv preprint arXiv:0812.1779},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:50:01.034Z