M. Cranston

1.3k total citations
44 papers, 755 citations indexed

About

M. Cranston is a scholar working on Mathematical Physics, Finance and Applied Mathematics. According to data from OpenAlex, M. Cranston has authored 44 papers receiving a total of 755 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 15 papers in Finance and 13 papers in Applied Mathematics. Recurrent topics in M. Cranston's work include Stochastic processes and statistical mechanics (19 papers), Stochastic processes and financial applications (14 papers) and Theoretical and Computational Physics (9 papers). M. Cranston is often cited by papers focused on Stochastic processes and statistical mechanics (19 papers), Stochastic processes and financial applications (14 papers) and Theoretical and Computational Physics (9 papers). M. Cranston collaborates with scholars based in United States, Switzerland and France. M. Cranston's co-authors include Thomas Mountford, Eugene B. Fabes, Terry R. McConnell, Zhengyang Zhao, Richard F. Bass, D. W. Stroock, Stanislav Molchanov, Subhadip Raychaudhuri, Yonathan Shapir and B. Vaĭnberg and has published in prestigious journals such as Physical Review Letters, Journal of the American Statistical Association and Communications in Mathematical Physics.

In The Last Decade

M. Cranston

40 papers receiving 685 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
M. Cranston United States	16	459	305	235	223	118	44	755
Shigeo Kusuoka Japan	19	640 1.4×	321 1.1×	360 1.5×	258 1.2×	149 1.3×	54	1.1k
Ross G. Pinsky Israel	13	482 1.1×	342 1.1×	229 1.0×	278 1.2×	123 1.0×	67	852
Martin T. Barlow Canada	18	623 1.4×	196 0.6×	251 1.1×	134 0.6×	277 2.3×	38	854
Yuri G. Kondratiev Germany	14	496 1.1×	218 0.7×	177 0.8×	107 0.5×	246 2.1×	31	737
Lorenzo Zambotti France	12	258 0.6×	118 0.4×	238 1.0×	130 0.6×	99 0.8×	42	494
Mu-Fa Chen China	19	512 1.1×	392 1.3×	157 0.7×	252 1.1×	447 3.8×	67	1.1k
Laurent Miclo France	15	277 0.6×	142 0.5×	75 0.3×	84 0.4×	232 2.0×	70	625
Izumi Kubo Japan	16	298 0.6×	215 0.7×	133 0.6×	122 0.5×	140 1.2×	49	645
Jon Aaronson Israel	17	1.0k 2.2×	162 0.5×	145 0.6×	141 0.6×	128 1.1×	57	1.2k
Elton P. Hsu United States	12	244 0.5×	385 1.3×	217 0.9×	116 0.5×	52 0.4×	25	727

Countries citing papers authored by M. Cranston

Since Specialization

Citations

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

Fields of papers citing papers by M. Cranston

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of M. Cranston

This figure shows the co-authorship network connecting the top 25 collaborators of M. Cranston. A scholar is included among the top collaborators of M. Cranston 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 M. Cranston. M. Cranston 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

Cranston, M. & Stanislav Molchanov. (2019). On the critical behavior of a homopolymer model. Science China Mathematics. 62(8). 1463–1476. 2 indexed citations

Cranston, M., et al.. (2013). Point potential for the generator of a stable process. Journal of Functional Analysis. 266(3). 1238–1256. 1 indexed citations

Cranston, M.. (2013). Properties of the Parabolic Anderson Model and the Anderson Polymer Model. 2013. 1–21.

Comets, Francis & M. Cranston. (2013). Overlaps and pathwise localization in the Anderson polymer model. Stochastic Processes and their Applications. 123(6). 2446–2471. 10 indexed citations

Cranston, M., Leonid Koralov, Stanislav Molchanov, & B. Vaĭnberg. (2010). A solvable model for homopolymers and self-similarity near the critical point. Random Operators and Stochastic Equations. 18(1). 73–95. 9 indexed citations

Cranston, M. & Yves Le Jan. (2009). A Central Limit Theorem for isotropic flows. Stochastic Processes and their Applications. 119(10). 3767–3784.

Cranston, M., Daniel J. Gauthier, & Thomas Mountford. (2009). On large deviations for the parabolic Anderson model. Probability Theory and Related Fields. 147(1-2). 349–378. 6 indexed citations

Cranston, M., Leonid Koralov, Stanislav Molchanov, & B. Vaĭnberg. (2008). Continuous model for homopolymers. Journal of Functional Analysis. 256(8). 2656–2696. 34 indexed citations

Cranston, M. & Thomas Mountford. (2006). Lyapunov exponent for the parabolic Anderson model in Rd. Journal of Functional Analysis. 236(1). 78–119. 20 indexed citations

10.

Cranston, M. & Stanislav Molchanov. (2005). Limit laws for sums of products of exponentials ofiid random variables. Israel Journal of Mathematics. 148(1). 115–136. 9 indexed citations

11.

Raychaudhuri, Subhadip, et al.. (2001). Maximal Height Scaling of Kinetically Growing Surfaces. Physical Review Letters. 87(13). 136101–136101. 65 indexed citations

12.

Cranston, M. & Feng‐Yu Wang. (2000). A condition for the equivalence of coupling and shift coupling. The Annals of Probability. 28(4). 18 indexed citations

13.

Cranston, M., Michael Scheutzow, & David Steinsaltz. (1999). Linear Expansion of Isotropic Brownian Flows. Electronic Communications in Probability. 4(none). 14 indexed citations

14.

Cranston, M. & Yves Le Jan. (1998). Geometric Evolution Under Isotropic Stochastic Flow. Electronic Journal of Probability. 3(none). 4 indexed citations

15.

Cranston, M. & Andreas Greven. (1995). Coupling and harmonic functions in the case of continuous time Markov processes. Stochastic Processes and their Applications. 60(2). 261–286. 16 indexed citations

16.

Cranston, M. & Thomas S. Salisbury. (1993). Martin boundaries of sectorial domains. Arkiv för matematik. 31(1). 27–49. 8 indexed citations

17.

Cranston, M.. (1991). Gradient estimates on manifolds using coupling. Journal of Functional Analysis. 99(1). 110–124. 70 indexed citations

18.

Cranston, M., et al.. (1989). On the noncoalescence of a two point brownian motion reflecting on a circle. French digital mathematics library (Numdam). 25(2). 99–107. 13 indexed citations

19.

Bass, Richard F. & M. Cranston. (1986). The Malliavin Calculus for Pure Jump Processes and Applications to Local Time. The Annals of Probability. 14(2). 32 indexed citations

20.

Cranston, M.. (1983). Invariant ?-fields for a class of diffusions. Probability Theory and Related Fields. 65(2). 161–180. 2 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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