P. R. Stein

1.7k citations

44 papers · 953 indexed · 1 hit paper · h-index 13

Impact in

Discrete Mathematics and Combinatorics top 5%
- Advanced Combinatorial Mathematics
Statistical and Nonlinear Physics top 2%
- Chaos control and synchronization
- Quantum chaos and dynamical systems

Papers in

Discrete Mathematics and Combinatorics 10
- Advanced Combinatorial Mathematics 7
Theoretical Computer Science 3

Co-authors: M. L. Stein N. Metropolis Michael S. Waterman W. A. Beyer Cath Everett John Riordan James D. Louck Myron L. Stein
Journals: Discrete Mathematics (7 papers)Advances in Applied Mathematics (5 papers)Mathematics of Computation (4 papers)Journal of Combinatorial Theory Series A (3 papers)Journal of Algebra (2 papers)
Partner nations: United States

In The Last Decade

P. R. Stein

41 papers receiving 820 citations

Hit Papers

align trajectories log scale

On finite limit sets for transformations on the unit interval 1973 · 445 citations

Peers

Countries citing papers authored by P. R. Stein

Since Specialization

Citations

This map shows the geographic impact of P. R. Stein'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 P. R. Stein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. R. Stein more than expected).

Fields of papers citing papers by P. R. Stein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. R. Stein. 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 P. R. Stein. The network helps show where P. R. Stein may publish in the future.

Co-authorship network

The 17 scholars most cited alongside P. R. Stein, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with P. R. Stein Line = papers co-authored together P. R. Stein links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Symmetric Function Algebra on a Computer Advances in Applied Mathematics ·P. R. Stein, C. Zemach	1993	1
2	On the rationalization of a sum of surds Advances in Applied Mathematics ·P. R. Stein, C. Zemach	1987	2
3	On the iteration of a bijective transformation of integer k-tuples Discrete Mathematics ·P. R. Stein, Cath Everett	1987	1
4	Shift-maximal sequences in function iteration: Existence, uniqueness, and multiplicity Journal of Mathematical Analysis and Applications ·W. A. Beyer, R. Daniel Mauldin, P. R. Stein	1986	25
5	Further results on periods and period doubling for iterates of the trapezoid function Advances in Applied Mathematics ·W. A. Beyer, P. R. Stein	1982	10
6	A cyclic derivative in noncommutative algebra Journal of Algebra ·Rhoda O. Lewis, Bruce E. Sagan, P. R. Stein	1980	22
7	The Enumeration of Graphical Partitions European Journal of Combinatorics ·Pozo Garcia Octavio, P. R. Stein	1980	1
8	On some new sequences generalizing the Catalan and Motzkin numbers Discrete Mathematics ·P. R. Stein, Michael S. Waterman	1979	75
9	On a class of linked diagrams, I. Enumeration Journal of Combinatorial Theory Series A ·P. R. Stein	1978	25
10	On a class of linked diagrams II. asymptotics Discrete Mathematics ·P. R. Stein, Cath Everett	1978	20
11	The combinatorics of random walk with absorbing barriers Discrete Mathematics ·Cath Everett, P. R. Stein	1977	6
12	On finite limit sets for transformations on the unit interval Journal of Combinatorial Theory Series A ·N. Metropolis, M. L. Stein, P. R. Stein Hit paper breakdown →	1973	445
13	The asymptotic number of (0,1)-matrices with zero permanent Discrete Mathematics ·Cath Everett, P. R. Stein	1973	5
14	Proof of a conjecture on Genocchi numbers Discrete Mathematics ·John Riordan, P. R. Stein	1973	20
15	Arrangements on chessboards Journal of Combinatorial Theory Series A ·John Riordan, P. R. Stein	1972	11
16	The asymptotic number of integer stochastic matrices Discrete Mathematics ·Cath Everett, P. R. Stein	1971	16
17	An elementary solution to a problem in restricted partitions Journal of Combinatorial Theory ·N. Metropolis, P. R. Stein	1970	0
18	A Proof of a Classical Theorem in Multiple Integration American Mathematical Monthly ·P. R. Stein	1968	0
19	On a class of (0,1) matrices with vanishing determinants Journal of Combinatorial Theory ·N. Metropolis, P. R. Stein	1967	7
20	On the ranges of two functions of positive definite matrices Journal of Algebra ·P. R. Stein	1965	24

About P. R. Stein

P. R. Stein is a scholar working on Discrete Mathematics and Combinatorics, Theoretical Computer Science, Algebra and Number Theory, Geometry and Topology and Mathematical Physics, having authored 44 papers that have together received 953 indexed citations. Recurring topics across this work include Mathematics and Applications (8 papers), Advanced Mathematical Identities (7 papers), Advanced Combinatorial Mathematics (7 papers), graph theory and CDMA systems (6 papers), Mathematical Dynamics and Fractals (5 papers), Matrix Theory and Algorithms (5 papers), Analytic Number Theory Research (4 papers) and Algebraic Geometry and Number Theory (3 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (117 citations), Statistical and Nonlinear Physics (405 citations), Mathematical Physics (290 citations), Algebra and Number Theory (103 citations) and Geometry and Topology (179 citations). P. R. Stein has collaborated with scholars based in United States. Frequent co-authors include M. L. Stein, N. Metropolis, Michael S. Waterman, W. A. Beyer, Cath Everett, John Riordan, James D. Louck, Myron L. Stein, Seymour V. Parter and R. Daniel Mauldin. Their work appears in journals such as Discrete Mathematics, Advances in Applied Mathematics, Mathematics of Computation, Journal of Combinatorial Theory Series A and Journal of Algebra.

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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