Faculty

Institution

Unit

Venue

Renming Song

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Renming Song is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Renming Song

University of Illinois Urbana-Champaign

Professor

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applied mathematics mathematics stochastic process probability theory stochastic calculus functional analysis mathematical sciences applied probability asymptotic analysis spectral theory brownian motion levy process statistical physics integrable probability statistical mechanics mathematical analysis abstract and applied analysis dirichlet form poisson boundary operator theory boundary value problems stochastic phenomena stochastic dynamical systems markov kernel stochastic differential equations function spaces fractional calculus potential theory resolvent kernel nonlinear dynamics riemann-hilbert problem physics generalized functions variational inequalities combinatorial theory nonlinear phenomena diffusion process entropy harmonic space critical phenomena fractional stochastics function theory boundary harnack principle martin boundary green function estimates heat kernel mathematical statistical physic global analysis subordinate brownian motions symmetric stable processes brownian motions convex analysis theoretical physics free boundary problems calculus of variations supercritical flows intrinsic ultracontractivity subordinate brownian motion singular drift minimal thinness stable processes applied physics mathematical optimization gaussian process nonlinear functional analysis topological semigroups green functions explicit decay rate transition densities subordinate processes statistical methodology polymer degradation reproducing kernel methods parabolic equations variational analysis polymer physics

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Behaviors of Subcritical Branching Killed Brownian Motion With Drift. Advances in Applied Probability (2025)

Haojie HouYan-Xia RenRenming SongYaping Zhu

brownian motionstatistical mechanicsdecay rateasymptotic analysisasymptotic behaviorsapplied probabilitystochastic processprobability theorystatistical physicsstochastic phenomenaapplied mathematicsmathematicslevy process

Asymptotic Expansion for Branching Killed Brownian Motion With Drift. Electronic Journal of Probability (2025)

Haojie HouYan-Xia RenRenming Song

stochastic calculusergodic theorybrownian motionasymptotic analysisstochastic processprobability theorystatistical physicsstochastic phenomenaapplied mathematics

Fractional Laplacian With Supercritical Killings. Communications in Mathematical Physics (2025)

Soobin ChoRenming Song

mathematical analysisfractional stochasticsfractional calculusgeometric analysisabstract and applied analysisfractional-order systemsfractional dynamicmathematical sciencesboundary value problemsapplied mathematicsmathematicssupercritical killings

Heat Kernel Estimates for Regional Fractional Laplacians With Multi-Singular Critical Potentials in C 1, β Open Sets. Stochastic Processes and their Applications (2025)

Renming SongPeixue WuShukun Wu

partial differential equationsphysicsfractional calculuselliptic equationsabstract and applied analysisgeometric analysisspectral theorymulti-singular critical potentialsboundary value problemsmicrolocal analysisapplied mathematicsregional fractional laplaciansheat kernel estimatesthermodynamics

Heat Kernel Estimates for Schr\"Odinger Operators With Supercritical Killing Potentials. arXiv (Cornell University) (2025)

Cho, SoobinKim, PankiSong, Renming

partial differential equationsnonlinear functional analysisheat kernel estimatesfunctional analysisfractional calculusresolvent kerneltwo-sided estimatesasymptotic analysisspectral theorypotential theoryapplied mathematicsmathematical physicsmathematicsodinger operatorsoperator theory

Potential Theory of Dirichlet Forms With Jump Kernels Blowing Up at the Boundary. Journal of Functional Analysis (2025)

Panki KimRenming SongZoran Vondraček

mathematical analysispartial differential equationsriemann-hilbert problemspectral theorydirichlet formsdirichlet formboundary value problemspotential theoryapplied mathematicsjump kernelsmathematicsdifferential geometry

Tails of Extinction Time and Maximal Displacement for Critical Branching Killed LéVy Process. Potential Analysis (2025)

Haojie HouYan-Xia RenRenming Song

maximal displacementergodic theorypoisson boundaryasymptotic analysisextinction timeapplied probabilitystochastic processprobability theoryapplied mathematicslevy process

1-Stable Fluctuation of the Derivative Martingale of Branching Random Walk. Stochastic Processes and their Applications (2024)

Haojie HouYan-Xia RenRenming Song

stochastic dynamical systemsstochastic calculusrandom walkstatistical mechanicsapplied probabilitystochastic processprobability theorystatistical physicsstochastic phenomenaapplied mathematics

Asymptotic Behaviors of Subcritical Branching Killed Brownian Motion With Drift. arXiv (Cornell University) (2024)

Hou, HaojieRen, Yan-XiaSong, RenmingZhu, Yaping

Asymptotic Expansions for Additive Measures of Branching Brownian Motions. Journal of Theoretical Probability (2024)

Haojie HouYan-Xia RenRenming Song

stochastic calculusbrownian motionbranching brownian motionsasymptotic analysisstochastic processprobability theorymathematical sciencesapplied mathematicsmathematics

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Renming Song

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Renming Song is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Renming Song

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Behaviors of Subcritical Branching Killed Brownian Motion With Drift. Advances in Applied Probability (2025)

Haojie HouYan-Xia RenRenming SongYaping Zhu

Asymptotic Expansion for Branching Killed Brownian Motion With Drift. Electronic Journal of Probability (2025)

Haojie HouYan-Xia RenRenming Song

stochastic calculusergodic theorybrownian motionasymptotic analysisstochastic processprobability theorystatistical physicsstochastic phenomenaapplied mathematics

Fractional Laplacian With Supercritical Killings. Communications in Mathematical Physics (2025)

Soobin ChoRenming Song

Heat Kernel Estimates for Regional Fractional Laplacians With Multi-Singular Critical Potentials in C 1, β Open Sets. Stochastic Processes and their Applications (2025)

Renming SongPeixue WuShukun Wu

Heat Kernel Estimates for Schr\"Odinger Operators With Supercritical Killing Potentials. arXiv (Cornell University) (2025)

Cho, SoobinKim, PankiSong, Renming

Potential Theory of Dirichlet Forms With Jump Kernels Blowing Up at the Boundary. Journal of Functional Analysis (2025)

Panki KimRenming SongZoran Vondraček

Tails of Extinction Time and Maximal Displacement for Critical Branching Killed LéVy Process. Potential Analysis (2025)

Haojie HouYan-Xia RenRenming Song

maximal displacementergodic theorypoisson boundaryasymptotic analysisextinction timeapplied probabilitystochastic processprobability theoryapplied mathematicslevy process

1-Stable Fluctuation of the Derivative Martingale of Branching Random Walk. Stochastic Processes and their Applications (2024)

Haojie HouYan-Xia RenRenming Song

stochastic dynamical systemsstochastic calculusrandom walkstatistical mechanicsapplied probabilitystochastic processprobability theorystatistical physicsstochastic phenomenaapplied mathematics

Asymptotic Behaviors of Subcritical Branching Killed Brownian Motion With Drift. arXiv (Cornell University) (2024)

Hou, HaojieRen, Yan-XiaSong, RenmingZhu, Yaping

Asymptotic Expansions for Additive Measures of Branching Brownian Motions. Journal of Theoretical Probability (2024)

Haojie HouYan-Xia RenRenming Song

stochastic calculusbrownian motionbranching brownian motionsasymptotic analysisstochastic processprobability theorymathematical sciencesapplied mathematicsmathematics

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