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Advection-Dispersion in Fluid Media and Selected Works of Rabi Bhattacharyaof laboratory and field experimentation as well as mathematical and physical theory for centuries. The theory traces back to celebrated work of such historically eminent scientists as Adolf Fick, Albert Einstein, Marian Smoluchowski, Jean Perrin, and Geoffrey I. Taylor, to name a few of the most pro

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An Introduction to Normal Approximationmptotic expansions. The book by Bhattacharya and Ranga Rao (1976) is a standard reference. In this note I shall focus on two of his seminal papers (1975, 1977) on asymptotic expansions. Recent developments on normal approximation by Stein’s method and strong Gaussian approximation will also be discussed.

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Reprints: Part Iematical Statistics. Refinements of the multidimensional central limit theorem and applications. The Annals of Probability. 5 (1977), 1–27. ?1977 Institute of Mathematical Statistics. On the validity of the formal Edgeworth expansion. The Annals of Statistics. 6 (1978), 434–451. ?1978 Institute of Mathematical Statistics.

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Advection-Dispersion in Fluid Media and Selected Works of Rabi Bhattacharya, in collaboration with hydrologist Vijay Gupta, stands out for the important theoretical insights provided to contemporary understanding of this phenomena in heterogeneous media over a range of space-time scales. This chapter is an attempt to provide some overview and context for the salient features of these contributions.

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Stability Analysis for Random Dynamical Systems in Economicshe tools for studying Markov processes developed by Rabi N.?Bhattacharya and his coauthors over the last few decades. In this essay we discuss the significance of these tools for both mathematicians and economists, provide some historical perspective, and review some recent related contributions.

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Ergodicity and Central Limit Theorems for Markov ProcessesThere are several contexts in the theory of Markov processes in which the term . is used, but in all of these, assertions of the form

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Reprints: Part IVDynamical systems subject to random shocks: an introduction. In: Symposium on dynamical systems subject to random shock. Economic Theory. 23 (2004), 13–38. ??2004 Springer-Verlag (with M. Majumdar). Random iterates of monotone maps. Revue of Economic Design. 14 (2010), 185–192. ??2010 Springer-Verlag (with M. Majumdar).