Keith Burns

2.2k total citations
45 papers, 1.2k citations indexed

About

Keith Burns is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Keith Burns has authored 45 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Mathematical Physics, 27 papers in Geometry and Topology and 21 papers in Applied Mathematics. Recurrent topics in Keith Burns's work include Mathematical Dynamics and Fractals (33 papers), Geometric Analysis and Curvature Flows (20 papers) and Geometry and complex manifolds (12 papers). Keith Burns is often cited by papers focused on Mathematical Dynamics and Fractals (33 papers), Geometric Analysis and Curvature Flows (20 papers) and Geometry and complex manifolds (12 papers). Keith Burns collaborates with scholars based in United States, United Kingdom and Germany. Keith Burns's co-authors include W. Burns, Ira J. Chasnoff, Amie Wilkinson, Ralf Spatzier, Michael Brin, Howard M. Weiss, A. Katok, Robert Osserman, Patrick Eberlein and Anatole Katok and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and American Mathematical Monthly.

In The Last Decade

Keith Burns

45 papers receiving 1.1k citations

Peers

Countries citing papers authored by Keith Burns

Since Specialization

Citations

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

Fields of papers citing papers by Keith Burns

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Keith Burns

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

#	Work	Indexed citations
1	Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces 2017 ·Geometric and Functional Analysis ·Keith Burns, Howard Masur, Carlos Matheus, Amie Wilkinson	6
2	Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces 2016 ·Advances in Mathematics ·Keith Burns, Howard Masur, Carlos Matheus, Amie Wilkinson	3
3	The Sharkovsky Theorem: A Natural Direct Proof 2011 ·American Mathematical Monthly ·Keith Burns, Boris Hasselblatt	14
4	On the ergodicity of partially hyperbolic systems 2010 ·Annals of Mathematics ·Keith Burns, Amie Wilkinson	78
5	Stable ergodicity for partially hyperbolic attractors with negative central exponents 2008 ·Journal of Modern Dynamics ·Keith Burns, Dmitry Dolgopyat, Yakov Pesin, Mark Pollicott	18
6	Geometric and Probabilistic Structures in Dynamics 2008 ·Contemporary mathematics - American Mathematical Society ·Keith Burns, (unknown), (unknown), (unknown), (unknown)	9
7	Geometric and Probabilistic Structures in Dynamics 2008 ·Keith Burns, Dmitry Dolgopyat, Yakov Pesin	9
8	Differential Geometry and Topology 2005 ·Keith Burns, Marian Gidea	20
9	Stable Ergodicity and Frame Flows 2003 ·Geometriae Dedicata ·Keith Burns, Mark Pollicott	10
10	Stable ergodicity and Anosov flows 2000 ·Topology ·Keith Burns, Charles Pugh, Amie Wilkinson	12
11	GEOMETRY OF NONPOSITIVELY CURVED MANIFOLDS (Chicago Lectures in Mathematics) 2000 ·Bulletin of the London Mathematical Society ·Keith Burns	63
12	A Simple Special Case of Sharkovskii's Theorem 2000 ·American Mathematical Monthly ·(unknown), Keith Burns	7
13	Stable ergodicity of skew products 1999 ·Annales Scientifiques de l École Normale Supérieure ·Keith Burns, Amie Wilkinson	33
14	Embedded Surfaces with Ergodic Geodesic Flows 1997 ·International Journal of Bifurcation and Chaos ·Keith Burns, (unknown)	8
15	A geometric criterion for positive topological entropy 1995 ·Communications in Mathematical Physics ·Keith Burns, Howard M. Weiss	72
16	Ergodic geodesic ows on product manifolds with low dimensional factors 1994 ·Keith Burns, (unknown)	1
17	The flat strip theorem fails for surfaces with no conjugate points 1992 ·Proceedings of the American Mathematical Society ·Keith Burns	12
18	The Flat Strip Theorem Fails for Surfaces with No Conjugate Points 1992 ·Proceedings of the American Mathematical Society ·Keith Burns	3
19	Continuous invariant cone families and ergodicity of ows in dimension three 1989 ·Keith Burns, (unknown)	9
20	Cocaine use in pregnancy: Perinatal morbidity and mortality 1987 ·Neurotoxicology and Teratology ·Ira J. Chasnoff, Keith Burns, W. Burns	223

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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