Burgess Davis

2.0k total citations
49 papers, 837 citations indexed

About

Burgess Davis is a scholar working on Mathematical Physics, Finance and Applied Mathematics. According to data from OpenAlex, Burgess Davis has authored 49 papers receiving a total of 837 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Mathematical Physics, 17 papers in Finance and 16 papers in Applied Mathematics. Recurrent topics in Burgess Davis's work include Stochastic processes and financial applications (17 papers), Stochastic processes and statistical mechanics (12 papers) and Mathematical Dynamics and Fractals (11 papers). Burgess Davis is often cited by papers focused on Stochastic processes and financial applications (17 papers), Stochastic processes and statistical mechanics (12 papers) and Mathematical Dynamics and Fractals (11 papers). Burgess Davis collaborates with scholars based in United States, Canada and United Kingdom. Burgess Davis's co-authors include Rodrigo Bañuelos, David McDonald, Stanislav Volkov, Biao Zhang, R.E. Bogner, Edwin Perkins, John Steele, John L. Lewis, David Avis and Thomas S. Salisbury and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Journal of Functional Analysis.

In The Last Decade

Burgess Davis

43 papers receiving 710 citations

Peers

Burgess Davis

MP

AM

FINAN

CTM

SP

M. Cranston United States

Ross G. Pinsky Israel

Michel Métivier France

Martin T. Barlow Canada

William E. Pruitt United States

Jürgen Gärtner Germany

Wilhelm Stannat Germany

Tokuzo Shiga Japan

Sylvie Méléard France

Zoran Vondraček Croatia

M. Cranston United States

Burgess Davis

459 ×1.0

MP

305 ×1.0

AM

235 ×1.4

FINAN

223 ×1.4

CTM

118 ×0.8

SP

Citations per year, relative to Burgess Davis Burgess Davis (= 1×) peers M. Cranston

Countries citing papers authored by Burgess Davis

Since Specialization

Citations

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

Fields of papers citing papers by Burgess Davis

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Burgess Davis

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

1.

Davis, Burgess, et al.. (2004). ON RATIO INEQUALITIES FOR HEAT CONTENT. Journal of the London Mathematical Society. 69(1). 97–106. 1 indexed citations

2.

Davis, Burgess & Stanislav Volkov. (2003). Vertex-reinforced jump processes on trees and finite graphs. Probability Theory and Related Fields. 128(1). 42–62. 15 indexed citations

3.

Davis, Burgess. (2001). On the spectral gap for fixed membranes. Arkiv för matematik. 39(1). 65–74. 14 indexed citations

4.

Davis, Burgess. (1998). Perturbed Random Walks and Brownian Motions, and Local Times. 8(1). 11903–11903.

5.

Davis, Burgess & Biao Zhang. (1994). Moments of the Lifetime of Conditioned Brownian Motion in Cones. Proceedings of the American Mathematical Society. 121(3). 925–925. 3 indexed citations

6.

Bañuelos, Rodrigo & Burgess Davis. (1994). Sharp estimates for Dirichlet eigenfunctions in Horn-Shaped regions. Communications in Mathematical Physics. 162(1). 215–216. 9 indexed citations

7.

Bañuelos, Rodrigo & Burgess Davis. (1992). . Indiana University Mathematics Journal. 41(4). 885–885. 15 indexed citations

8.

Davis, Burgess. (1991). Intrinsic ultracontractivity and the Dirichlet Laplacian. Journal of Functional Analysis. 100(1). 162–180. 32 indexed citations

9.

Davis, Burgess. (1990). Reinforced random walk. Probability Theory and Related Fields. 84(2). 203–229. 173 indexed citations

10.

Bañuelos, Rodrigo & Burgess Davis. (1989). Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains. Journal of Functional Analysis. 84(1). 188–200. 26 indexed citations

11.

Davis, Burgess. (1988). Conditioned Brownian motion in planar domains. Duke Mathematical Journal. 57(2). 13 indexed citations

12.

Davis, Burgess. (1984). On the paths of symmetric stable processes. Transactions of the American Mathematical Society. 281(2). 785–794. 1 indexed citations

13.

Davis, Burgess. (1983). On Brownian slow points. Probability Theory and Related Fields. 64(3). 359–367. 24 indexed citations

14.

Davis, Burgess. (1982). On the integrability of the ergodic maximal function. Studia Mathematica. 73(2). 153–167. 7 indexed citations

15.

Davis, Burgess. (1980). Hardy spaces and rearrangements. Transactions of the American Mathematical Society. 261(1). 211–211. 16 indexed citations

16.

Davis, Burgess. (1975). Picard’s theorem and Brownian motion. Transactions of the American Mathematical Society. 213(0). 353–362. 17 indexed citations

17.

Davis, Burgess. (1973). An inequality for the distribution of the Brownian gradient function. Proceedings of the American Mathematical Society. 37(1). 189–194.

18.

Davis, Burgess & John L. Lewis. (1973). An extremal property of some capacitary measures in 𝐸_{𝑛}. Proceedings of the American Mathematical Society. 39(3). 520–524. 1 indexed citations

19.

Davis, Burgess. (1970). On the intergrability of the martingale square function. Israel Journal of Mathematics. 8(2). 187–190. 67 indexed citations

20.

Davis, Burgess. (1969). Divergence Properties of Some Martingale Transforms. The Annals of Mathematical Statistics. 40(5). 1852–1854. 1 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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