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- Daniel W. Stroock

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
49
Citations
13,764
168
World Ranking
827
National Ranking
414

2013 - Fellow of the American Mathematical Society

1996 - Steele Prize for Seminal Contribution to Research

1995 - Member of the National Academy of Sciences

1991 - Fellow of the American Academy of Arts and Sciences

1978 - Fellow of John Simon Guggenheim Memorial Foundation

- Mathematical analysis
- Probability theory
- Hilbert space

His primary scientific interests are in Mathematical analysis, Ergodic theory, Malliavin calculus, Pure mathematics and Calculus. His research ties Local martingale and Mathematical analysis together. His Ergodic theory research incorporates elements of Sobolev inequality and Large deviations theory.

Daniel W. Stroock has researched Malliavin calculus in several fields, including Parabolic partial differential equation, Harnack's principle, Harnack's inequality, Weak solution and Fundamental solution. His research in Pure mathematics is mostly focused on Hölder condition. His research investigates the link between Calculus and topics such as Central limit theorem that cross with problems in Random variable.

- Multidimensional Diffusion Processes (1820 citations)
- Probability Theory, an Analytic View (499 citations)
- On the Support of Diffusion Processes with Applications to the Strong Maximum Principle (463 citations)

His main research concerns Mathematical analysis, Pure mathematics, Applied mathematics, Statistical physics and Calculus. His research in the fields of Ergodic theory overlaps with other disciplines such as Diffusion process. His research in Pure mathematics intersects with topics in Measurable function, Fundamental solution and Algebra.

His Calculus study incorporates themes from Partial differential equation, Probability theory and Malliavin calculus. His Malliavin calculus research includes elements of Stochastic calculus and Time-scale calculus. His study focuses on the intersection of Stochastic calculus and fields such as Stochastic differential equation with connections in the field of Markov process.

- Mathematical analysis (30.06%)
- Pure mathematics (24.28%)
- Applied mathematics (12.72%)

- Pure mathematics (24.28%)
- Applied mathematics (12.72%)
- Calculus (10.40%)

His primary areas of study are Pure mathematics, Applied mathematics, Calculus, Discrete mathematics and Combinatorics. His work on Lebesgue integration, Ergodic theory and Square-integrable function as part of general Pure mathematics study is frequently linked to Gaussian process, bridging the gap between disciplines. The study incorporates disciplines such as Boundary and Fundamental solution in addition to Applied mathematics.

His studies deal with areas such as Stochastic calculus, H-derivative, Malliavin calculus, Partial differential equation and Real line as well as Calculus. As a part of the same scientific study, Daniel W. Stroock usually deals with the Transformation, concentrating on Orthogonal transformation and frequently concerns with Mathematical analysis. His work on Bounded function as part of general Mathematical analysis research is often related to Reflected Brownian motion, thus linking different fields of science.

- Essentials of Integration Theory for Analysis (32 citations)
- The Fundamental Solution to the Wright–Fisher Equation (19 citations)
- An approximation scheme for reflected stochastic differential equations (15 citations)

- Mathematical analysis
- Probability theory
- Hilbert space

The scientist’s investigation covers issues in Pure mathematics, Calculus, Algebra, Conjecture and Discrete mathematics. His Calculus research integrates issues from Stochastic calculus, Malliavin calculus, Hypoelliptic operator, Partial differential equation and Term. His Algebra study combines topics in areas such as Ergodic theory and Large deviations theory.

His studies in Discrete mathematics integrate themes in fields like Complex number and Extension. His Distribution research is within the category of Mathematical analysis. Daniel W. Stroock interconnects Domain and Mathematical physics in the investigation of issues within Mathematical analysis.

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.

Multidimensional Diffusion Processes

Daniel W. Stroock;Srinivasa R. S. Varadhan.

**(1979)**

3019 Citations

Probability Theory, an Analytic View

Daniel W. Stroock.

**(1993)**

774 Citations

On the Support of Diffusion Processes with Applications to the Strong Maximum Principle

Daniel W. Stroock;S. R. S. Varadhan.

Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume 3: Probability Theory **(1972)**

732 Citations

Applications of the Malliavin calculus. II

S. Kusuoka;D. Stroock.

Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics **(1985)**

613 Citations

A New Proof of Moser’s Parabolic Harnack Inequality Using the old Ideas of Nash

E. B. Fabes;E. B. Fabes;Daniel W. Stroock;Daniel W. Stroock.

Archive for Rational Mechanics and Analysis **(1986)**

572 Citations

Upper bounds for symmetric Markov transition functions

Eric Anders. Carlen;S. Kusuoka;Daniel W. Stroock.

Annales De L Institut Henri Poincare-probabilites Et Statistiques **(1986)**

550 Citations

An Introduction to the Theory of Large Deviations

Daniel W. Stroock.

**(1984)**

544 Citations

Diffusion processes with continuous coefficients, I

Daniel W. Stroock;S. R. S. Varadhan.

Communications on Pure and Applied Mathematics **(1969)**

469 Citations

Diffusion processes associated with Lévy generators

Daniel W. Stroock.

Probability Theory and Related Fields **(1975)**

418 Citations

Logarithmic Sobolev inequalities and stochastic Ising models

Richard. Holley;Daniel W. Stroock.

Journal of Statistical Physics **(1987)**

417 Citations

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