2026 Rabi Bhattacharya: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	30	3452	3077	1345	1123	206	5446

Overview

Rabi Bhattacharya is affiliated with the University of Arizona in the United States. Their research spans multiple fields with a primary focus on mathematics, economics, econometrics, finance, and computer science. The main topics of their work emphasize stochastic processes and statistical mechanics, Markov chains and Monte Carlo methods, and applications of stochastic processes in finance.

The scientist has authored various papers, with recent publications including:

"Equity and Sustainability: An Exposition" (2020) published in Studies in Microeconomics
"Superiority of Bayes estimators over the MLE in high dimensional multinomial models and its implication for nonparametric Bayes theory" (2020) published in Computational Statistics & Data Analysis
"A Review of Martingales, Stopping Times, and the Markov Property" (2023) published in Graduate Texts in Mathematics

Frequent co-authors associated with Bhattacharya's work include Edward C. Waymire, with whom they have collaborated extensively, as well as Mukul Majumdar and Rachel Oliver.

The venues where Bhattacharya has published reflect an interdisciplinary approach, covering areas such as economics and statistics, represented by:

Studies in Microeconomics
Computational Statistics & Data Analysis
Graduate Texts in Mathematics

Bhattacharya's contributions also include several books published by Springer Nature. These books focus on advanced mathematical topics related to stochastic processes, martingales, and Markov processes:

Random Walk, Brownian Motion, and Martingales (2021)
Stationary Processes and Discrete Parameter Markov Processes (2022)
Continuous Parameter Markov Processes and Stochastic Differential Equations (2023)

The researcher's core subfields are mathematical physics, statistics and probability, finance, economics and econometrics, and management science and operations research. This multidimensional expertise supports investigations into complex systems and time series analysis, advanced mathematical modeling in engineering, probability and risk models, and mathematical dynamics including fractals.

Bhattacharya's work addresses topics such as:

Stochastic processes and statistical mechanics
Markov chains and Monte Carlo methods
Stochastic processes and financial applications
Complex systems and time series analysis
Advanced mathematical modeling in engineering
Probability and risk models
Mathematical dynamics and fractals

Best Publications

Normal Approximation and Asymptotic Expansions

Rabi N. Bhattacharya;R. Ranga Rao

1543
Citations
Stochastic processes with applications

Rabi N. Bhattacharya;Edward C. Waymire

901
Citations
ON THE VALIDITY OF THE FORMAL EDGEWORTH EXPANSION

R. N. Bhattacharya;J. K. Ghosh

861
Citations
Large sample theory of intrinsic and extrinsic sample means on manifolds—II

Rabi Bhattacharya;Vic Patrangenaru

535
Citations
On the functional central limit theorem and the law of the iterated logarithm for Markov processes

R. N. Bhattacharya

328
Citations
THE HURST EFFECT UNDER TRENDS

R. N. Bhattacharya;Vijay K. Gupta;Ed Waymire

313
Citations
Criteria for Recurrence and Existence of Invariant Measures for Multidimensional Diffusions

R. N. Bhattacharya

199
Citations
Random Dynamical Systems: Theory and Applications

Rabi Bhattacharya;Mukul Majumdar

173
Citations
A basic course in probability theory

Rabi Bhattacharya;Edward C. Waymire

168
Citations
Nonparametric Inference on Manifolds: With Applications to Shape Spaces

Abhishek Bhattacharya;Rabi Bhattacharya

119
Citations
Nonparametic estimation of location and dispersion on Riemannian manifolds

Rabi Bhattacharya;Vic Patrangenaru

110
Citations
A statistical approach to estimate the 3D size distribution of spheres from 2D size distributions

Maiying Kong;Rabi N. Bhattacharya;Christina James;Abhijit Basu

104
Citations
ASYMPTOTICS OF A CLASS OF MARKOV PROCESSES WHICH ARE NOT IN GENERAL IRREDUCIBLE

Rabi N. Bhattacharya;Oesook Lee

97
Citations
Stability in Distribution for a Class of Singular Diffusions

Gopal K. Basak;Rabi N. Bhattacharya

92
Citations
A Central Limit Theorem for Diffusions with Periodic Coefficients

Rabi Bhattacharya

85
Citations
On geometric ergodicity of nonlinear autoregressive models

Rabi Bhattacharya;Chanho Lee

84
Citations
Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations

Rabi N. Bhattacharya;Larry Chen;Scott Dobson;Scott Dobson;Ronald B. Guenther

76
Citations
Second Order and $L^p$-Comparisons between the Bootstrap and Empirical Edgeworth Expansion Methodologies

Rabi Bhattacharya;Maher Qumsiyeh

71
Citations
Nonparametric Inference on Manifolds

Unknown

69
Citations
Controlled semi-Markov models, the discounted case

Rabi N. Bhattacharya;Mukul Majumdar

69
Citations
Nonparametric statistics on manifolds with applications to shape spaces

Unknown

67
Citations
Statistics on Riemannian manifolds: asymptotic distribution and curvature

Abhishek Bhattacharya;Rabi Bhattacharya

63
Citations
Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces

Rabi Bhattacharya;Lizhen Lin

51
Citations
On a Class of Stable Random Dynamical Systems: Theory and Applications

Rabi Bhattacharya;Mukul Majumdar

38
Citations
Statistics on Manifolds with Applications to Shape Spaces

Rabi Bhattacharya;Abhishek Bhattacharya

9
Citations
A Basic Course on Probability Theory

Rabi Bhattacharya;Edward C. Waymire

4
Citations

Frequent Co-Authors

Edward C. Waymire Oregon State University

Vijay K. Gupta University of Colorado Boulder

Garrison Sposito University of California, Berkeley

Jayanta K. Ghosh Purdue University West Lafayette

Charles M. Newman Courant Institute of Mathematical Sciences

Sumit Chakraborty Ruhr University Bochum

Jibamitra Ganguly University of Arizona

James Stephen Marron University of North Carolina at Chapel Hill

Susan Holmes Stanford University

Xiuwen Liu Florida State University

External Links

Personal website of Rabi Bhattacharya

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