D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 36 Citations 7,595 166 World Ranking 1756 National Ranking 122

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Statistics
  • Artificial intelligence

His primary scientific interests are in Mathematical analysis, Stochastic differential equation, Rough path, Stochastic partial differential equation and Pure mathematics. His study on Differential equation and Sequence is often connected to Zakai equation and Decomposition as part of broader study in Mathematical analysis. Terry Lyons has researched Stochastic differential equation in several fields, including Representation, Numerical approximation and Variable.

Terry Lyons has included themes like Flow, Path, Path integration and Limit in his Rough path study. Terry Lyons interconnects Stochastic process, Separable partial differential equation, Examples of differential equations and Applied mathematics in the investigation of issues within Stochastic partial differential equation. The concepts of his Pure mathematics study are interwoven with issues in Geometry and Exact differential equation.

His most cited work include:

  • Differential equations driven by rough signals (901 citations)
  • System Control and Rough Paths (453 citations)
  • Uncertain volatility and the risk-free synthesis of derivatives (295 citations)

What are the main themes of his work throughout his whole career to date?

Terry Lyons mainly investigates Mathematical analysis, Rough path, Differential equation, Pure mathematics and Applied mathematics. His Mathematical analysis research includes elements of Stochastic process and Brownian motion. His Rough path study incorporates themes from Signature, Path, Limit, Signature and Domain.

The study incorporates disciplines such as Path, Series and Ode in addition to Differential equation. His studies in Path integrate themes in fields like Upper and lower bounds, Uniqueness, Combinatorics and Extension. His work investigates the relationship between Applied mathematics and topics such as Space that intersect with problems in Discrete measure and Order.

He most often published in these fields:

  • Mathematical analysis (27.65%)
  • Rough path (17.05%)
  • Differential equation (16.59%)

What were the highlights of his more recent work (between 2016-2021)?

  • Signature (11.06%)
  • Artificial intelligence (10.14%)
  • Algorithm (8.76%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Signature, Artificial intelligence, Algorithm, Signature and Rough path. In Signature, Terry Lyons works on issues like Path, which are connected to Piecewise linear function, Inversion and Key. In general Artificial intelligence study, his work on Artificial neural network often relates to the realm of Disease, thereby connecting several areas of interest.

His research integrates issues of Kernel, Hyperbolic partial differential equation, Differential equation, Sequence and Series in his study of Algorithm. The Signature study combines topics in areas such as Nonparametric statistics, Econometrics, Hedge, Linear combination and Market price. His Rough path research is within the category of Brownian motion.

Between 2016 and 2021, his most popular works were:

  • Learning Spatial-Semantic Context with Fully Convolutional Recurrent Network for Online Handwritten Chinese Text Recognition (65 citations)
  • Leveraging the Path Signature for Skeleton-based Human Action Recognition. (40 citations)
  • A signature-based machine learning model for distinguishing bipolar disorder and borderline personality disorder. (35 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Artificial intelligence
  • Statistics

Terry Lyons mainly focuses on Signature, Artificial intelligence, Algorithm, Artificial neural network and Path. Terry Lyons combines subjects such as Machine learning and Pattern recognition with his study of Artificial intelligence. His work deals with themes such as Rough path, Differential equation and Sequence, which intersect with Algorithm.

His Differential equation research incorporates elements of Stochastic differential equation, Recurrent neural network, Data stream mining and Synthetic data. In his research, Series and Ode is intimately related to Stochastic process, which falls under the overarching field of Sequence. His research in Path intersects with topics in Symmetrization, Mathematical analysis, Inversion, Key and Modulus of continuity.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Differential equations driven by rough signals

Terry J. Lyons.
Revista Matematica Iberoamericana (1998)

1534 Citations

Differential equations driven by rough signals

Terry J. Lyons.
Revista Matematica Iberoamericana (1998)

1534 Citations

System Control and Rough Paths

Terry Lyons;Zhongmin Qian.
(2003)

719 Citations

System Control and Rough Paths

Terry Lyons;Zhongmin Qian.
(2003)

719 Citations

Uncertain volatility and the risk-free synthesis of derivatives

T. J. Lyons.
Applied Mathematical Finance (1995)

471 Citations

Uncertain volatility and the risk-free synthesis of derivatives

T. J. Lyons.
Applied Mathematical Finance (1995)

471 Citations

Differential Equations Driven by Rough Paths

T. J. Lyons;Michael J. Caruana;Thierry Lévy;École d'été de probabilités de Saint-Flour.
(2008)

416 Citations

Differential Equations Driven by Rough Paths

T. J. Lyons;Michael J. Caruana;Thierry Lévy;École d'été de probabilités de Saint-Flour.
(2008)

416 Citations

Cubature on Wiener space

Terry Lyons;Nicolas Victoir.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (2004)

277 Citations

Cubature on Wiener space

Terry Lyons;Nicolas Victoir.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (2004)

277 Citations

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