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Orthogonal Polynomials In The Spectral Analysis Of Markov Processes Birthdeath Models And Diffusion Encyclopedia Of Mathematics And Its Applications Series Number 181 1st Edition Manuel Domnguez De La Iglesia

  • SKU: BELL-38264672
Orthogonal Polynomials In The Spectral Analysis Of Markov Processes Birthdeath Models And Diffusion Encyclopedia Of Mathematics And Its Applications Series Number 181 1st Edition Manuel Domnguez De La Iglesia
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Orthogonal Polynomials In The Spectral Analysis Of Markov Processes Birthdeath Models And Diffusion Encyclopedia Of Mathematics And Its Applications Series Number 181 1st Edition Manuel Domnguez De La Iglesia instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 2.55 MB
Pages: 390
Author: Manuel Domínguez de la Iglesia
ISBN: 9781316516553, 1316516555
Language: English
Year: 2021
Edition: 1

Product desciption

Orthogonal Polynomials In The Spectral Analysis Of Markov Processes Birthdeath Models And Diffusion Encyclopedia Of Mathematics And Its Applications Series Number 181 1st Edition Manuel Domnguez De La Iglesia by Manuel Domínguez De La Iglesia 9781316516553, 1316516555 instant download after payment.

In pioneering work in the 1950s, S. Karlin and J. McGregor showed that probabilistic aspects of certain Markov processes can be studied by analyzing orthogonal eigenfunctions of associated operators. In the decades since, many authors have extended and deepened this surprising connection between orthogonal polynomials and stochastic processes. This book gives a comprehensive analysis of the spectral representation of the most important one-dimensional Markov processes, namely discrete-time birth-death chains, birth-death processes and diffusion processes. It brings together the main results from the extensive literature on the topic with detailed examples and applications. Also featuring an introduction to the basic theory of orthogonal polynomials and a selection of exercises at the end of each chapter, it is suitable for graduate students with a solid background in stochastic processes as well as researchers in orthogonal polynomials and special functions who want to learn about applications of their work to probability.

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