This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes, as made manifest in M. M. Rao's prolific research achievements. Featuring a biography of M. M. Rao, a complete bibliography of his published works,…mehr
This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes, as made manifest in M. M. Rao's prolific research achievements. Featuring a biography of M. M. Rao, a complete bibliography of his published works, and meditations from former students, the book includes contributions from over 30 notable researchers.
Biography of M. M. Rao Published Writings of M. M. Rao Ph.D. Theses Completed Under the Direction of M. M. Rao Contributors For M. M. Rao An Appreciation of My Teacher M. M. Rao 1001 Words About Rao A Guide to Life Mathematical and Otherwise Rao and the Early Riverside Years On M. M. Rao Reflections on M. M. Rao 1: Stochastic Analysis and Function Spaces 2: Applications of Sinkhorn Balancing to Counting Problems 3: Zakai Equation of Nonlinear Filtering with Ornstein-Uhlenbeck Noise: Existence and Uniqueness 4: Hyperfunctionals and Generalized Distributions 5: Process-Measures and Their Stochastic Integral 6: Invariant Sets for Nonlinear Operators 7: The Immigration-Emigration with Catastrophe Model 8: Approximating Scale Mixtures 9: Cyclostationary Arrays: Their Unitary Operators and Representations 10: Operator Theoretic Review for Information Channels 11: Pseudoergodicity in Information Channels 12: Connections Between Birth-Death Processes 13: Integrated Gaussian Processes and Their Reproducing Kernel Hilbert Spaces 14: Moving Average Representation and Prediction for Multidimensional Harmonizable Processes 15: Double-Level Averaging on a Stratified Space 16: The Problem of Optimal Asset Allocation with Stable Distributed Returns 17: Computations for Nonsquare Constants of Orlicz Spaces 18: Asymptotically Stationary and Related Processes 19: Superlinearity and Weighted Sobolev Spaces 20: Doubly Stochastic Operators and the History of Birkhoff s Problem 111 21: Classes of Harmonizable Isotropic Random Fields 22: On Geographically-Uniform Coevolution: Local Adaptation in Non-fluctuating Spatial Patterns 23: Approximating the Time Delay in Coupled van der Pol Oscillators with Delay Coupling
Biography of M. M. Rao Published Writings of M. M. Rao Ph.D. Theses Completed Under the Direction of M. M. Rao Contributors For M. M. Rao An Appreciation of My Teacher M. M. Rao 1001 Words About Rao A Guide to Life Mathematical and Otherwise Rao and the Early Riverside Years On M. M. Rao Reflections on M. M. Rao 1: Stochastic Analysis and Function Spaces 2: Applications of Sinkhorn Balancing to Counting Problems 3: Zakai Equation of Nonlinear Filtering with Ornstein-Uhlenbeck Noise: Existence and Uniqueness 4: Hyperfunctionals and Generalized Distributions 5: Process-Measures and Their Stochastic Integral 6: Invariant Sets for Nonlinear Operators 7: The Immigration-Emigration with Catastrophe Model 8: Approximating Scale Mixtures 9: Cyclostationary Arrays: Their Unitary Operators and Representations 10: Operator Theoretic Review for Information Channels 11: Pseudoergodicity in Information Channels 12: Connections Between Birth-Death Processes 13: Integrated Gaussian Processes and Their Reproducing Kernel Hilbert Spaces 14: Moving Average Representation and Prediction for Multidimensional Harmonizable Processes 15: Double-Level Averaging on a Stratified Space 16: The Problem of Optimal Asset Allocation with Stable Distributed Returns 17: Computations for Nonsquare Constants of Orlicz Spaces 18: Asymptotically Stationary and Related Processes 19: Superlinearity and Weighted Sobolev Spaces 20: Doubly Stochastic Operators and the History of Birkhoff s Problem 111 21: Classes of Harmonizable Isotropic Random Fields 22: On Geographically-Uniform Coevolution: Local Adaptation in Non-fluctuating Spatial Patterns 23: Approximating the Time Delay in Coupled van der Pol Oscillators with Delay Coupling
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