A. T. Bharucha-Reid

8.5k total citations · 2 hit papers
46 papers, 5.5k citations indexed

About

A. T. Bharucha-Reid is a scholar working on Mathematical Physics, Applied Mathematics and Statistics and Probability. According to data from OpenAlex, A. T. Bharucha-Reid has authored 46 papers receiving a total of 5.5k indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Mathematical Physics, 7 papers in Applied Mathematics and 6 papers in Statistics and Probability. Recurrent topics in A. T. Bharucha-Reid's work include advanced mathematical theories (5 papers), Fuzzy Systems and Optimization (4 papers) and Fixed Point Theorems Analysis (4 papers). A. T. Bharucha-Reid is often cited by papers focused on advanced mathematical theories (5 papers), Fuzzy Systems and Optimization (4 papers) and Fixed Point Theorems Analysis (4 papers). A. T. Bharucha-Reid collaborates with scholars based in United States, India and Australia. A. T. Bharucha-Reid's co-authors include William Feller, P. A. P. Morán, V. M. Sehgal, Б. В. Гнеденко, M. S. Bartlett, K. Gopalsamy, Hisaharu Umegaki, D. Kannan, Philip Μ. Morse and Mark Christensen and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of the American Statistical Association and Econometrica.

In The Last Decade

A. T. Bharucha-Reid

44 papers receiving 4.9k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

An Introduction to Probability Theory and Its Applications.

1967 4.0k citations A. T. Bharucha-Reid et al. profile →
Probabilistic methods in applied mathematics

1968 495 citations A. T. Bharucha-Reid CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
A. T. Bharucha-Reid United States	13	867	850	790	622	569	46	5.5k
David G. Kendall United Kingdom	35	779 0.9×	741 0.9×	772 1.0×	859 1.4×	605 1.1×	120	7.3k
J. M. Hammersley United Kingdom	30	1.5k 1.7×	1.9k 2.3×	805 1.0×	925 1.5×	546 1.0×	84	8.3k
Frank Spitzer United States	26	1.2k 1.4×	2.6k 3.1×	481 0.6×	593 1.0×	597 1.0×	57	4.4k
A. Rényi Hungary	31	1.4k 1.6×	1.2k 1.4×	1.8k 2.3×	1.7k 2.7×	831 1.5×	84	7.6k
PE United States	15	1.1k 1.2×	839 1.0×	941 1.2×	570 0.9×	797 1.4×	25	5.4k
L. A. Shepp United States	45	850 1.0×	1.4k 1.6×	774 1.0×	303 0.5×	591 1.0×	168	10.6k
J. Laurie Snell United States	23	1.0k 1.2×	901 1.1×	1.8k 2.3×	1.2k 1.9×	893 1.6×	77	8.5k
A. N. Kolmogorov Russia	23	1.2k 1.4×	1.3k 1.5×	1.9k 2.4×	1.1k 1.8×	876 1.5×	88	7.7k
Kai Lai Chung United States	25	1.4k 1.7×	2.3k 2.7×	904 1.1×	763 1.2×	995 1.7×	92	6.4k
Wassily Hoeffding United States	19	1.9k 2.2×	839 1.0×	2.4k 3.0×	568 0.9×	1.1k 2.0×	30	9.4k

Countries citing papers authored by A. T. Bharucha-Reid

Since Specialization

Citations

This map shows the geographic impact of A. T. Bharucha-Reid's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A. T. Bharucha-Reid with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. T. Bharucha-Reid more than expected).

Fields of papers citing papers by A. T. Bharucha-Reid

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. T. Bharucha-Reid. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A. T. Bharucha-Reid. The network helps show where A. T. Bharucha-Reid may publish in the future.

Co-authorship network of co-authors of A. T. Bharucha-Reid

This figure shows the co-authorship network connecting the top 25 collaborators of A. T. Bharucha-Reid. A scholar is included among the top collaborators of A. T. Bharucha-Reid based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A. T. Bharucha-Reid. A. T. Bharucha-Reid is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Sambandham, M., T. S. Srivatsan, & A. T. Bharucha-Reid. (1986). Numerical solution of random singular integral equation appearing in crack problems. 130–148. 2 indexed citations

Bharucha-Reid, A. T. & Mark Christensen. (1984). Approximate solution of random integral equations: general methods. Mathematics and Computers in Simulation. 26(4). 321–328. 4 indexed citations

Sambandham, M., et al.. (1983). On the variance of the number of real roots of random algebraic polynomials. Stochastic Analysis and Applications. 1(2). 215–238. 3 indexed citations

Bharucha-Reid, A. T., et al.. (1980). Probabilistic Analysis and Related Topics, Vol. 1.. Journal of the Royal Statistical Society Series A (General). 143(1). 79–79. 21 indexed citations

Bharucha-Reid, A. T.. (1979). Approximate solution of random equations. CERN Document Server (European Organization for Nuclear Research). 33 indexed citations

Christensen, Mark & A. T. Bharucha-Reid. (1977). Algebraic models for probability measures associated with solutions of random equations, I. Journal of Mathematical Analysis and Applications. 58(2). 397–404. 1 indexed citations

Bharucha-Reid, A. T., et al.. (1976). On the Use of Girshick's Sequential Test for Epidemiological Data. International Statistical Review. 44(3). 331–331. 1 indexed citations

Sehgal, V. M. & A. T. Bharucha-Reid. (1972). Fixed points of contraction mappings on probabilistic metric spaces. Theory of Computing Systems. 6(1-2). 97–102. 206 indexed citations

Schreiber, Bertram M., et al.. (1971). Algebraic models for probability measures associated with stochastic processes. Transactions of the American Mathematical Society. 158(1). 93–105. 7 indexed citations

10.

Kannan, D. & A. T. Bharucha-Reid. (1971). An operator-valued stochastic integral. Proceedings of the Japan Academy Series A Mathematical Sciences. 47(5). 7 indexed citations

11.

Bharucha-Reid, A. T., et al.. (1971). On the generalized semigroup relation in the strong operator topology. Indagationes Mathematicae (Proceedings). 74. 26–31. 2 indexed citations

12.

Umegaki, Hisaharu & A. T. Bharucha-Reid. (1970). Banach space-valued random variables and tensor products of Banach spaces. Journal of Mathematical Analysis and Applications. 31(1). 49–67. 12 indexed citations

13.

Bharucha-Reid, A. T. & L. G. Arnold. (1969). On Fredholm integral equations with random degenerate kernels. Applicationes Mathematicae. 10(1). 85–90. 2 indexed citations

14.

Moro, Antonio & A. T. Bharucha-Reid. (1969). On the kinetics of enzyme amplifier systems. Mathematical Biosciences. 5(3-4). 391–402. 3 indexed citations

15.

Bharucha-Reid, A. T.. (1968). Probabilistic methods in applied mathematics. CERN Document Server (European Organization for Nuclear Research). 495 indexed citations breakdown →

16.

Bharucha-Reid, A. T. & M. S. Bartlett. (1962). Stochastic Population Models in Ecology and Epidemiology. Econometrica. 30(3). 613–613. 29 indexed citations

17.

Bharucha-Reid, A. T., et al.. (1961). Elements of the Theory of Markov Processes and Their Applications.. 11(2). 126–126. 20 indexed citations

18.

Bharucha-Reid, A. T. & Philip Μ. Morse. (1961). Elements of the Theory of Markov Processes and Their Applications. Physics Today. 14(10). 54–56. 10 indexed citations

19.

Bharucha-Reid, A. T., et al.. (1961). Elements of the Theory of Markov Processes and their Applications.. Mathematics of Computation. 15(75). 304–304. 2 indexed citations

20.

Bharucha-Reid, A. T.. (1954). Age-Dependent Branching Stochastic Processes in Cascade Theory. Physical Review. 96(3). 751–753. 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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