What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (30.06%)
- Pure mathematics (24.28%)
- Applied mathematics (12.72%)
What were the highlights of his more recent work (between 2008-2020)?
- Pure mathematics (24.28%)
- Applied mathematics (12.72%)
- Calculus (10.40%)
In recent papers he was focusing on the following fields of study:
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.
Between 2008 and 2020, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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