What is he best known for?
The fields of study Renming Song is best known for:
- Harmonic function
- Laplace operator
- Stochastic process
His research in the fields of Archaeology overlaps with other disciplines such as Mathematical physics.
His research is interdisciplinary, bridging the disciplines of Gauge (firearms) and Archaeology.
In his papers, Renming Song integrates diverse fields, such as Mathematical physics and Mathematical analysis.
Mathematical analysis is closely attributed to Fractional Laplacian in his research.
His Open set studies intersect with other disciplines such as Bounded function and Boundary (topology).
His Bounded function study often links to related topics such as Lipschitz domain.
He integrates Boundary (topology) with Open set in his study.
His research ties Stable process and Statistics together.
His Stable process study often links to related topics such as Stochastic process.
His most cited work include:
- Estimates on Green functions and Poisson kernels for symmetric stable processes (217 citations)
- Bernstein Functions (210 citations)
- Heat kernel estimates for the Dirichlet fractional Laplacian (168 citations)
What are the main themes of his work throughout his whole career to date
Mathematical analysis is often connected to Bounded function in his work.
In his works, he performs multidisciplinary study on Pure mathematics and Geometry.
His study deals with a combination of Geometry and Pure mathematics.
Many of his studies involve connections with topics such as Brownian motion and Statistics.
His Brownian motion study frequently links to related topics such as Statistics.
Renming Song regularly links together related areas like Kernel (algebra) in his Combinatorics studies.
His Combinatorics research extends to Kernel (algebra), which is thematically connected.
He frequently studies issues relating to Generator (circuit theory) and Quantum mechanics.
His Power (physics) research extends to Generator (circuit theory), which is thematically connected.
Renming Song most often published in these fields:
- Mathematical analysis (79.63%)
- Pure mathematics (54.63%)
- Statistics (52.78%)
What were the highlights of his more recent work (between 2017-2021)?
- Mathematical analysis (91.67%)
- Statistics (50.00%)
- Pure mathematics (50.00%)
In recent works Renming Song was focusing on the following fields of study:
Renming Song usually deals with Kernel (algebra) and limits it to topics linked to Combinatorics and Tree (set theory) and Euclidean space.
His Combinatorics research extends to the thematically linked field of Tree (set theory).
His Exponent research focuses on Linguistics and how it relates to Space (punctuation).
He combines topics linked to Linguistics with his work on Space (punctuation).
His work focuses on many connections between Property (philosophy) and other disciplines, such as Epistemology, that overlap with his field of interest in Class (philosophy).
He regularly links together related areas like Epistemology in his Class (philosophy) studies.
His study on Composite material is interrelated to topics such as Branching (polymer chemistry) and Colored.
His work on Branching (polymer chemistry) is being expanded to include thematically relevant topics such as Composite material.
He performs integrative study on Mathematical analysis and Domain (mathematical analysis).
Between 2017 and 2021, his most popular works were:
- Heat Kernels of Non-symmetric Jump Processes: Beyond the Stable Case (35 citations)
- Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings (14 citations)
- On the Boundary Theory of Subordinate Killed Lévy Processes (12 citations)
In his most recent research, the most cited works focused on:
- Subordinator
- Open set
- Potential theory
By researching both Mathematical analysis and Combinatorics, Renming Song produces research that crosses academic boundaries.
By researching both Combinatorics and Mathematical analysis, Renming Song produces research that crosses academic boundaries.
He regularly ties together related areas like Harnack's inequality in his Pure mathematics studies.
His work often combines Harnack's inequality and Potential theory studies.
In his articles, he combines various disciplines, including Potential theory and Harnack's principle.
As part of his studies on Harnack's principle, he often connects relevant subjects like Pure mathematics.
His Statistics study frequently links to related topics such as Subordinator.
Renming Song integrates several fields in his works, including Subordinator and Brownian motion.
Brownian motion is closely attributed to Statistics in his study.
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.
