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 42 Citations 7,225 116 World Ranking 1222 National Ranking 52

Research.com Recognitions

Awards & Achievements

2020 - Wald Memorial Lecturer

2013 - Fellow of the American Mathematical Society

2005 - Fellow of the Royal Society, United Kingdom

1998 - Fellow of the Royal Society of Canada Academy of Science

Overview

What is he best known for?

The fields of study Martin T. Barlow is best known for:

  • Martingale (probability theory)
  • Local martingale
  • Electricity market

His Statistics study frequently draws connections to adjacent fields such as Filtration (mathematics). His Filtration (mathematics) study frequently draws connections between adjacent fields such as Statistics. Martin T. Barlow regularly ties together related areas like Power (physics) in his Electricity demand studies. His Power (physics) study frequently draws connections to other fields, such as Electricity demand. He performs integrative study on Electricity market and Futures contract in his works. In his works, he performs multidisciplinary study on Futures contract and Electricity market. He conducts interdisciplinary study in the fields of Thermodynamics and Diffusion through his research. His Quantum mechanics research extends to the thematically linked field of Diffusion. His Quantum mechanics study frequently links to adjacent areas such as Electricity.

His most cited work include:

  • A DIFFUSION MODEL FOR ELECTRICITY PRICES (239 citations)
  • Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times (187 citations)
  • Study of a filtration expanded to include an honest time (83 citations)

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

His studies link Uniqueness with Mathematical analysis. As part of his studies on Applied mathematics, Martin T. Barlow often connects relevant subjects like Lévy process. Lévy process is frequently linked to Applied mathematics in his study. His research on Pure mathematics often connects related areas such as Dimension (graph theory). His research brings together the fields of Pure mathematics and Dimension (graph theory). In his works, Martin T. Barlow conducts interdisciplinary research on Statistics and Random walk. Martin T. Barlow incorporates Random walk and Statistics in his studies. In his works, Martin T. Barlow undertakes multidisciplinary study on Martingale (probability theory) and Local martingale. Martin T. Barlow performs integrative Local martingale and Doob's martingale inequality research in his work.

Martin T. Barlow most often published in these fields:

  • Mathematical analysis (63.16%)
  • Applied mathematics (42.11%)
  • Pure mathematics (42.11%)

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

Brownian motion on the Sierpinski gasket

Martin T. Barlow;Edwin A. Perkins.
Probability Theory and Related Fields (1988)

634 Citations

Diffusions on fractals

Martin T. Barlow.
(1998)

556 Citations

A DIFFUSION MODEL FOR ELECTRICITY PRICES

M. T. Barlow.
Mathematical Finance (2002)

434 Citations

Brownian Motion and Harmonic Analysis on Sierpinski Carpets

Martin T. Barlow;Richard F. Bass.
Canadian Journal of Mathematics (1999)

335 Citations

The construction of brownian motion on the Sierpinski carpet

Martin T. Barlow;Richard F. Bass.
Annales De L Institut Henri Poincare-probabilites Et Statistiques (1989)

291 Citations

Non-local dirichlet forms and symmetric jump processes

Martin T. Barlow;Richard F. Bass;Zhen-Qing Chen;Moritz Kassmann.
Transactions of the American Mathematical Society (2008)

263 Citations

Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times

M.T Barlow;M Yor.
Journal of Functional Analysis (1982)

238 Citations

Random walks on supercritical percolation clusters

Martin T. Barlow.
Annals of Probability (2004)

223 Citations

Transition densities for Brownian motion on the Sierpinski carpet

Martin T. Barlow;Richard F. Bass.
Probability Theory and Related Fields (1992)

194 Citations

The Liouville Property and a Conjecture of De Giorgi

Martin T. Barlow;Richard F. Bass;Changfeng Gui.
Communications on Pure and Applied Mathematics (2000)

170 Citations

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