Peter Walters

2.6k total citations
32 papers, 671 citations indexed

About

Peter Walters is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Geometry and Topology. According to data from OpenAlex, Peter Walters has authored 32 papers receiving a total of 671 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Mathematical Physics, 12 papers in Atomic and Molecular Physics, and Optics and 8 papers in Geometry and Topology. Recurrent topics in Peter Walters's work include Mathematical Dynamics and Fractals (13 papers), Spectroscopy and Quantum Chemical Studies (10 papers) and Quantum Information and Cryptography (5 papers). Peter Walters is often cited by papers focused on Mathematical Dynamics and Fractals (13 papers), Spectroscopy and Quantum Chemical Studies (10 papers) and Quantum Information and Cryptography (5 papers). Peter Walters collaborates with scholars based in United States, United Kingdom and India. Peter Walters's co-authors include Rufus Bowen, Nancy Makri, Thomas C. Allen, Amartya Bose, Michael Stavola, W. Beall Fowler and Fei Wang and has published in prestigious journals such as Physical Review Letters, The Journal of Chemical Physics and Physical review. B, Condensed matter.

In The Last Decade

Peter Walters

31 papers receiving 610 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Peter Walters United States	13	349	244	178	175	51	32	671
Boris A. Khoruzhenko United Kingdom	15	377 1.1×	244 1.0×	275 1.5×	99 0.6×	25 0.5×	25	786
Jens Marklof United Kingdom	16	329 0.9×	125 0.5×	244 1.4×	104 0.6×	23 0.5×	58	605
N. S. Witte Australia	16	198 0.6×	237 1.0×	246 1.4×	185 1.1×	88 1.7×	56	786
Taro Nagao Japan	20	540 1.5×	281 1.2×	418 2.3×	148 0.8×	76 1.5×	64	1.2k
P. Šťovı́ček Czechia	13	240 0.7×	257 1.1×	192 1.1×	88 0.5×	12 0.2×	50	486
M. V. Karasev Russia	15	385 1.1×	304 1.2×	504 2.8×	178 1.0×	36 0.7×	92	843
Jens Bolte Germany	12	172 0.5×	328 1.3×	327 1.8×	44 0.3×	37 0.7×	35	575
Monique Combescure France	14	202 0.6×	280 1.1×	293 1.6×	30 0.2×	23 0.5×	33	530
S. Ole Warnaar Australia	21	308 0.9×	159 0.7×	213 1.2×	646 3.7×	24 0.5×	69	1.3k
S. Yu. Slavyanov Russia	12	81 0.2×	325 1.3×	344 1.9×	77 0.4×	64 1.3×	52	643

Countries citing papers authored by Peter Walters

Since Specialization

Citations

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

Fields of papers citing papers by Peter Walters

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Walters. 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 Peter Walters. The network helps show where Peter Walters may publish in the future.

Co-authorship network of co-authors of Peter Walters

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Walters. A scholar is included among the top collaborators of Peter Walters 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 Peter Walters. Peter Walters is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Walters, Peter, et al.. (2025). Variational Quantum Algorithm for Non-Markovian Quantum Dynamics Using an Ensemble of Ehrenfest Trajectories. The Journal of Physical Chemistry Letters. 16(4). 1001–1006. 1 indexed citations

Walters, Peter, et al.. (2025). Investigating Non-Markovian Effects on Quantum Dynamics in Open Quantum Systems. Journal of Chemical Theory and Computation. 21(12). 5778–5788.

Walters, Peter & Fei Wang. (2024). Path integral quantum algorithm for simulating non-Markovian quantum dynamics in open quantum systems. Physical Review Research. 6(1). 7 indexed citations

Walters, Peter, et al.. (2024). An ensemble variational quantum algorithm for non-Markovian quantum dynamics. Physical Chemistry Chemical Physics. 26(30). 20500–20510. 2 indexed citations

Walters, Peter, et al.. (2024). Exact Non-Markovian Quantum Dynamics on the NISQ Device Using Kraus Operators. ACS Omega. 9(8). 9666–9675. 6 indexed citations

Bose, Amartya & Peter Walters. (2022). A multisite decomposition of the tensor network path integrals. The Journal of Chemical Physics. 156(2). 24101–24101. 31 indexed citations

Allen, Thomas C., Peter Walters, & Nancy Makri. (2016). Direct Computation of Influence Functional Coefficients from Numerical Correlation Functions. Journal of Chemical Theory and Computation. 12(9). 4169–4177. 21 indexed citations

Walters, Peter, et al.. (2015). On iterative path integral calculations for a system interacting with a shifted dissipative bath. The Journal of Chemical Physics. 143(7). 74112–74112. 15 indexed citations

Stavola, Michael, et al.. (2002). Key to Understanding InterstitialH2in Si. Physical Review Letters. 88(10). 105507–105507. 45 indexed citations

10.

Fowler, W. Beall, Peter Walters, & Michael Stavola. (2002). Dynamics of interstitialH2in crystalline silicon. Physical review. B, Condensed matter. 66(7). 18 indexed citations

11.

Walters, Peter. (1993). A dynamical proof of the multiplicative ergodic theorem. Transactions of the American Mathematical Society. 335(1). 245–257. 12 indexed citations

12.

Walters, Peter. (1992). Differentiability Properties of the Pressure of a Continuous Transformation on a Compact Metric Space. Journal of the London Mathematical Society. s2-46(3). 471–481. 15 indexed citations

13.

Walters, Peter. (1989). Ergodic Theory and Differentiable DynamicsByRicardo Mañé: Translated from the Portuguese by Silvio Levy. Ergebnisse de Mathematik und ihrer Grenzgebiete, 3 Folge-Band 8. Springer-Verlag1987.. Ergodic Theory and Dynamical Systems. 9(2). 399–401. 60 indexed citations

14.

Walters, Peter. (1978). Invariant Measures and Equilibrium States for Some Mappings which Expand Distances. Transactions of the American Mathematical Society. 236. 121–121. 32 indexed citations

15.

Walters, Peter. (1974). Affine transformations and coalescence. Theory of Computing Systems. 8(1). 33–44. 4 indexed citations

16.

Bowen, Rufus & Peter Walters. (1972). Expansive one-parameter flows. Journal of Differential Equations. 12(1). 180–193. 152 indexed citations

17.

Walters, Peter. (1970). Anosov diffeomorphisms are topologically stable. Topology. 9(1). 71–78. 49 indexed citations

18.

Walters, Peter. (1970). Homeomorphisms with discrete centralizers and ergodic properties. Theory of Computing Systems. 4(3). 322–326. 4 indexed citations

19.

Walters, Peter. (1969). Topological Conjugacy of Affine Transformations of Compact Abelian Groups. Transactions of the American Mathematical Society. 140. 95–95. 2 indexed citations

20.

Walters, Peter. (1968). Topological conjugacy of affine transformations of tori. Transactions of the American Mathematical Society. 131(1). 40–50. 9 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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