Stochastic processes and functional analysis : new perspectives : AMS special session, celebrating M.M. Rao's many mathematical contributions as he turns 90 years old, November 9-10, 2019, University of California, Riverside, California

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Stochastic processes and functional analysis : new perspectives : AMS special session, celebrating M.M. Rao's many mathematical contributions as he turns 90 years old, November 9-10, 2019, University of California, Riverside, California

Randall J. Swift ... [et al.], editors

(Contemporary mathematics, 774)

American Mathematical Society, c2021

  • : pbk

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Other editors: Alan Krinik, Jennifer M. Switkes, Jason H. Park

Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of the AMS Special Session on Celebrating M. M. Rao's Many Mathematical Contributions as he Turns 90 Years Old, held from November 9-10, 2019, at the University of California, Riverside, California. The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes and their applications. The volume also includes a biography of M. M. Rao and the list of his publications.

Table of Contents

B. C. Arnold, Sufficient conditions for Lorenz ordering with common finite support S. Banerjee and A. Sankararaman, Ergodicity and steady state analysis for interference queueing networks S. N. Ethier and J. Lee, How strong can the Parrondo effect be? II S. Ghosh and H. Nyquist, Binary response models comparison using the $\alpha$-Chernoff divergence measure and exponential integral functions G. R. Goldstein, J. A. Goldstein, I. Kombe, and R. Tellioglu Balekoglu, Nonlinear parabolic equations with Robin boundary conditions and Hardy-Leray type inequalities Y. Kakihara, Banach space valued weak second order stochastic processes A. C. Krinik, H. von Bremen, I. Ventura, U. V. Nguyen, J. J. Lin, T. V. D. Lu, C. I. D. Luk, J. Yeh, L. A. Cervantes, S. R. Lyche, B. A. Marian, S. A. Aljashamy, M. Dela, A. Oudich, P. Ostadhassanpanjehali, L. Phey, D. Perez, J. J. Kath, M. C. Demmin, Y. Dawit, C. C. Hoogendyk, A. Kim, M. McDonough, A. T. Castillo, D. Beecher, W. Wong, and H. Ayeda, Explicit transient probabilities of various Markov models W. Lippitt and S. Sethuraman, On the use of Markovian stick-breaking priors B. Margolius, Eulerian polynomials and Quasi-Birth-Death processes with time-varying-periodic rates J. H. J. Park, Random measure algebras M. M. Rao and R. J. Swift, From additive to second-order processes G. Rubino and A. Krinik, The exponential-dual matrix method: Applications to Markov chain analysis J. Switkes, Two moment closure techniques for an interacting species model

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