A November 2019 special session in Riverside, California focused on the key role in abstract analysis plays in simplifying and solving fundamental problems in stochastic theory. The 13 mathematical papers discuss such matters as sufficient conditions for Lorentz ordering with common finite support, nonlinear parabolic equations with Robin boundary conditions and Hardy-Leray type inequalities, explicit transient probability of various Markov models, Eulerian polynomials and quasi-birth-death processes with time-varying-periodic rates, and the exponential-dual matrix method: applications to Markov chain analysis. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
Preface |
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Stochastic equations |
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ix | |
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Biography of M. M. Rao |
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xv | |
Published writings of M. M. Rao |
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xvii | |
Ph.D. theses completed under the direction of M. M. Rao |
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Celebrating M. M. Rao's many mathematical contributions |
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xxix | |
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Sufficient conditions for Lorenz ordering with common finite support |
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1 | (8) |
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Ergodicity and steady state analysis for interference queueing networks |
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9 | (16) |
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How strong can the Parrondo effect be? II |
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25 | (12) |
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Binary response models comparison using the a-Chernoff divergence measure and exponential integral functions |
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37 | (18) |
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Nonlinear parabolic equations with Robin boundary conditions and Hardy-Leray type inequalities |
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55 | (16) |
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Reyhan Tellioglu Balekoglu |
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Banach space valued weak second order stochastic processes |
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71 | (26) |
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Explicit transient probabilities of various Markov models |
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97 | (56) |
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Pedram Ostadhassanpanjehali |
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Christine Carmen Marie Hoogendyk |
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On the use of Markovian stick-breaking priors |
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153 | (22) |
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Eulerian polynomials and Quasi-Birth-Death processes with time-varying-periodic rates |
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175 | (20) |
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195 | (10) |
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From additive to second-order processes |
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205 | (12) |
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The exponential-dual matrix method: Applications to Markov chain analysis |
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217 | (20) |
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Two moment closure techniques for an interacting species model |
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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.