Terry Lyons

7.3k citations
137 papers · 3.7k · 1 hit paper · h-index 28

Impact in

  • Finance top 0.5%
    • Stochastic processes and financial applications
    • Financial Risk and Volatility Modeling
    • Stochastic processes and statistical mechanics
    • Mathematical Dynamics and Fractals
    • advanced mathematical theories

Papers in

    • advanced mathematical theories 14
    • Mathematical Dynamics and Fractals 13
    • Stochastic processes and statistical mechanics 13
    • Geometric Analysis and Curvature Flows 13

Terry Lyons

126 papers receiving 3.4k citations

Terry Lyons's Hit Papers

Differential equations driven by rough signals 1998 · 593 citations
5930+9+18Years since publication100200300400500

Peers

Terry Lyons
Comparison fields: 5 of 126
  • Finance 1.6k
  • Mathematical Physics 1.2k
  • Applied Mathematics 755
  • Statistics and Probability 385
  • Computational Theory and Mathematics 644
Replace Gopinath Kallianpur with:
Gopinath Kallianpur United States
В. И. Богачев Russia
David Applebaum United Kingdom
Wojbor A. Woyczyński United States
И. А. Ибрагимов Russia
John B. Walsh Canada
Nikolai Leonenko United Kingdom
Hiroshi Kunita Japan
Richard F. Bass United States
Michel Ledoux France
Terry Lyons relative to Gopinath Kallianpur United States Gopinath Kallianpur's profile →
Citations per field
00.5×10×13.1×
Gopinath Kallianpur · 1×
Citations per year

Countries citing papers authored by Terry Lyons

Since Specialization
Citations

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

Fields of papers citing papers by Terry Lyons

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Terry Lyons, 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 Terry Lyons Line = papers co-authored together Terry Lyons links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 137 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Differential equations driven by rough signals
Hit paper breakdown →
1998593
2 2002330
3 2004278
4 2007199
5 1984136
6 1994125
7 2004122
8 1997112
9 198397
10 201792
11 201987
12 199463
13
A signature-based machine learning model for distinguishing bipolar disorder and borderline personality disorder
201862
14 199462
15 199859
16 199958
17 199752
18 198749
19 201347
20 201646

About Terry Lyons

Terry Lyons is a scholar working on Mathematical Physics, Applied Mathematics, Finance, Computational Theory and Mathematics and Artificial Intelligence, having authored 137 papers that have together received 3.7k indexed citations. Recurring topics across this work include Stochastic processes and financial applications (25 papers), Advanced Mathematical Modeling in Engineering (16 papers), advanced mathematical theories (14 papers), Mathematical Dynamics and Fractals (13 papers), Stochastic processes and statistical mechanics (13 papers), Geometric Analysis and Curvature Flows (13 papers), Mathematical Approximation and Integration (9 papers) and Geometry and complex manifolds (8 papers). The work is most often cited by research in Finance (1.6k citations), Mathematical Physics (1.2k citations), Applied Mathematics (755 citations), Statistics and Probability (385 citations) and Computational Theory and Mathematics (644 citations). Terry Lyons has collaborated with scholars based in United Kingdom, United States and Slovakia. Frequent co-authors include Zhongmin Qian, J. G. Gaines, Dan Crisan, Nicolas Victoir, Dennis Sullivan, Thierry Lévy, Michael Caruana, Hao Ni, Ben Hambly and John Gallacher. Their work appears in journals such as Journal of Functional Analysis, The Annals of Probability, Bulletin of the London Mathematical Society, Probability Theory and Related Fields and PLoS ONE.

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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