Jian Song, Ph.D.

Affiliations: 
2010 Mathematics University of Kansas, Lawrence, KS, United States 
Area:
Mathematics
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"Jian Song"

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David Nualart grad student 2010 University of Kansas
 (Some topics on the fractional Brownian motion and stochastic partial differential equations.)
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Publications

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Song J, Song X, Xu F. (2020) Fractional stochastic wave equation driven by a Gaussian noise rough in space Bernoulli. 26: 2699-2726
Song J, Song X, Zhang Q. (2019) Nonlinear Feynman--Kac formulas for Stochastic Partial Differential Equations with Space-Time Noise Siam Journal On Mathematical Analysis. 51: 955-990
Choi MCH, Lee C, Song J. (2019) Entropy flow and De Bruijn's identity for a class of stochastic differential equations driven by fractional Brownian motion Probability in the Engineering and Informational Sciences. 1-12
Chen X, Hu Y, Song J, et al. (2018) Temporal asymptotics for fractional parabolic Anderson model Electronic Journal of Probability. 23
Balan RM, Song J. (2017) Hyperbolic Anderson Model with space-time homogeneous Gaussian noise Alea-Latin American Journal of Probability and Mathematical Statistics. 14: 799
Song J. (2017) On a class of stochastic partial differential equations Stochastic Processes and Their Applications. 127: 37-79
Hu Y, Nualart D, Song J. (2011) Feynman–Kac formula for heat equation driven by fractional white noise Annals of Probability. 39: 291-326
Hu Y, Nualart D, Song J. (2009) Fractional martingales and characterization of the fractional Brownian motion Annals of Probability. 37: 2404-2430
Hu Y, Nualart D, Song J. (2008) Integral representation of renormalized self-intersection local times Journal of Functional Analysis. 255: 2507-2532
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