Renming Song

Mathematical Physics · 2002–2015

A researcher in the Science corpus: 35 papers; trusts 32 researchers and is trusted by 56 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 89 citations into it; #383 of 8,562 by trust here, #184 by citations
• Applied Mathematics — 73 citations into it; #207 of 7,620 by trust here, #152 by citations
• Finance — 64 citations into it; #1,050 of 10,518 by trust here, #802 by citations
• Computational Theory and Mathematics — 53 citations into it; #989 of 12,182 by trust here, #976 by citations
• Management Science and Operations Research — 25 citations into it; #4,340 of 11,946 by trust here, #1,867 by citations
• Statistics and Probability — 15 citations into it; #1,931 of 12,932 by trust here, #1,860 by citations
• Control and Systems Engineering — 10 citations into it; #1,499 of 8,257 by trust here, #2,528 by citations
• Demography — 10 citations into it; #2,524 of 4,236 by trust here, #3,993 by citations

Whom Renming Song trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Zhen-Qing Chen
2. Richard F. Bass
3. David A. Levin
4. Zoran Vondraček
5. Panki Kim
6. Andreas E. Kyprianou
7. Krzysztof Bogdan
8. M. Ryznar
9. Vassili N. Kolokoltsov
10. Takashi Kumagai

Who trusts Renming Song overall

1. Panki Kim
2. Zhen-Qing Chen
3. Krzysztof Bogdan
4. Andreas E. Kyprianou
5. Rodrigo Bañuelos
6. Zoran Vondraček
7. T. Grzywny
8. Mark M. Meerschaert
9. Alexey Kuznetsov
10. Bartłlomiej Dyda

Papers from Renming Song's perspective

Ordered by how strongly the researchers Renming Song trusts endorse each paper. Same corpus, a different order for every researcher.

1. Harnack Inequalities for Jump Processes
2. Systems of equations driven by stable processes
3. Symmetric Stable Laws and Stable‐Like Jump‐Diffusions
4. The Boundary Behavior of Heat Kernels of Dirichlet Laplacians
5. Estimates of Heat Kernel of Fractional Laplacian Perturbed by Gradient Operators
6. Transition Probabilities for Symmetric Jump Processes
7. Markov Processes: Characterization and Convergence
8. Classical Potential Theory
9. Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
10. Drift transforms and Green function estimates for discontinuous processes

Their papers

• Heat kernel estimates for the Dirichlet fractional Laplacian (2009) — 264 citations
• Two-sided heat kernel estimates for censored stable-like processes (2010) — 95 citations
• Potential theory of subordinate killed Brownian motion in a domain (2003) — 132 citations
• Convexity and Smoothness of Scale Functions and de Finetti’s Control Problem (2008) — 65 citations
• Potential theory of truncated stable processes (2006) — 48 citations
• Potential Theory of Special Subordinators and Subordinate Killed Stable Processes (2006) — 59 citations
• Two-sided estimates on the density of Brownian motion with singular drift (2006) — 71 citations
• Two-sided eigenvalue estimates for subordinate processes in domains (2005) — 147 citations
• HARDY INEQUALITY FOR CENSORED STABLE PROCESSES (2003) — 63 citations
• Stable process with singular drift (2014) — 48 citations
• Bernstein Functions: Theory and Applications (2010) — 559 citations
• Potential Analysis of Stable Processes and its Extensions (2009) — 282 citations
• Drift transforms and Green function estimates for discontinuous processes (2003) — 84 citations
• On the relationship between subordinate killed and killed subordinate processes (2008) — 51 citations
• Two‐sided Green function estimates for killed subordinate Brownian motions (2010) — 60 citations
• Dirichlet heat kernel estimates for Δα/2 + Δβ/2 (2010) — 58 citations
• Stochastic flows for Lévy processes with Hölder drifts (2015) — 60 citations
• Dirichlet heat kernel estimates for rotationally symmetric Lévy processes (2013) — 65 citations
• Boundary Harnack principle for Δ+Δ^{/2} (2012) — 107 citations
• Global uniform boundary Harnack principle with explicit decay rate and its application (2012) — 85 citations