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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.
Randall J. Swift, California State Polytechnic University, Pomona, CA.Alan Krinik, California State Polytechnic University, Pomona, CA.Jennifer M. Switkes, California State Polytechnic University, Pomona, CA.Jason H. Park, University of Nevada, Las Vegas, NV.
B. C. Arnold, Sufficient conditions for Lorenz ordering with common finite supportS. Banerjee and A. Sankararaman, Ergodicity and steady state analysis for interference queueing networksS. N. Ethier and J. Lee, How strong can the Parrondo effect be? IIS. Ghosh and H. Nyquist, Binary response models comparison using the $\alpha$-Chernoff divergence measure and exponential integral functionsG. R. Goldstein, J. A. Goldstein, I. Kombe, and R. Tellioglu Balekoglu, Nonlinear parabolic equations with Robin boundary conditions and Hardy-Leray type inequalitiesY. Kakihara, Banach space valued weak second order stochastic processesA. 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 modelsW. Lippitt and S. Sethuraman, On the use of Markovian stick-breaking priorsB. Margolius, Eulerian polynomials and Quasi-Birth-Death processes with time-varying-periodic ratesJ. H. J. Park, Random measure algebrasM. M. Rao and R. J. Swift, From additive to second-order processesG. Rubino and A. Krinik, The exponential-dual matrix method: Applications to Markov chain analysisJ. Switkes, Two moment closure techniques for an interacting species model
Alan C. Krinik, Randall J. Swift, Pomona,) Krinik, Alan C. (California State Polytechnic University, USA) Swift, Randall J. (California State Polytechnic University, Pomona