Rabi N. Bhattacharya : Selected Papers This volume presents some of the most influential papers published by Rabi N. Bhattacharya along with commentaries from international experts demonstrating his knowledge insight and influence in the field of probability and its applications. For more than three decades Bhattacharya has made significant contributions in areas ranging from theoretical statistics via analytical probability theory Markov processes and random dynamics to applied topics in statistics economics and geophysics. Selected reprints of Bhattacharya’s papers are divided into three sections: Modes of Approximation Large Times for Markov Processes and Stochastic Foundations in Applied Sciences. The accompanying articles by the contributing authors not only help to position his work in the context of other achievements but also provide a unique assessment of the state of their individual fields both historically and for the next generation of researchers. Rabi N. Bhattacharya: Selected Papers will be a valuable resource for young researchers entering the diverse areas of study to which Bhattacharya has contributed. Established researchers will also appreciate this work as an account of both past and present developments and challenges for the future. Part I: Modes of Approximation Hall Contributions of Rabi Bhattacharya to the Central Limit Theory and Normal Approximation Yoshida Asymptotic Expansions for Stochastic Processes Shao An Introduction to Normal Approximation Reprints Part II: Large Time Asymptotics for Markov Processes I: Diffusion Varadhan Martingale Methods for the Central Limit Theorem Kurtz Ergodicity and Central Limit Theorems for Markov Processes Reprints Part III: Large Time Asymptotics for Markov Processes II: Dynamical Systems and Iterated Maps Athreya Dynamical Systems IID Random Iterations and Markov Chains Waymire Random Dynamical Systems and Selected Works of Rabi Bhattacharya Reprints Part IV: Stochastic Foundations in Applied Sciences I: Economics Kamihigashi Stachurski Stability Analysis for Random Dynamical Systems in Economics Roy Some Economic Applications of Recent Advances in Random Dynamical Systems Reprints Part V: Stochastic Foundations in Applied Sciences II: Geophysics Thomann Waymire Advection Dispersion in Fluid Media and Selected Works of Rabi Bhattacharya Flandoli Romito Cascade Representations for the Navier Stokes Equations Reprints Part VI: Stochastic Foundations in Applied Sciences III: Statistics Dryden Le Preston Wood Nonparametric Statistical Methods on Manifolds Huckemann Hotz Nonparametric Statistics on Manifolds and Beyond Reprints.