I am a tenure-track assistant professor at Auburn University. Before this, I
was a visiting assistant professor at Emory University from 2019-2021 for four
semesters, a tenure-track assistant professor at the University of Nevada, Las
Vegas, from 2018-2019 for three semesters, and the Black-Babcock visiting
assistant professor at the University of Kansas from 2015-2017 for five
semesters. I obtained my Ph.D. in April 2013 from Swiss Federal Institute of
Technology, Lausanne -- École Polytechnique Fédérale de Lausanne. In 2014, I
obtained an SNSF (Swiss National Science Foundation) post-doctoral research
fellowship to spend one year at the University of Utah. I am an
analysist/probabilist, working on stochastic analysis and stochastic partial
differential equations.
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Pdf
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Co-authors
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Title
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Journal
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Year
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Status
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27
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N. Eisenberg
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Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics
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Stochastic Partial Differential Equations: Analysis and Computation
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2022
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to appear
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26
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G. Hu
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Hölder regularity of the nonlinear stochastic time-fractional slow and fast diffusion equations on Rd
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Fract. Calc. Appl. Anal.
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25 (2), 608-629.
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25
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D. Khoshnevisan, D. Nualart, and F. Pu
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Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial conditions.
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Journal of Functional Analysis
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282 (2), Paper No. 109290, 35 pp.
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24
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Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method
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Stochastic Partial Differential Equations: Analysis and Computation
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2021
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to appear
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23
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Spatial ergodicity for SPDEs via a Poincaré-inequalities
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Electronic Journal of Probability
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26, Paper No. 140, 37 pp.
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22
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A CLT for dependent random variables, with applications to infinitely-many interacting diffusion processes.
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Proceedings of American Mathematical Society
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149 (12), 5367–5384
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21
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Central limit theorems for parabolic stochastic partial differential equations.
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Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
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58 (2), 1052-1077
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20
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R. Balan and X. Chen
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Exact asymptotics of the stochastic wave equation with time-independent noise.
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to appear
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19
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Y. Hu and D. Nualart
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Regularity and strict positivity of densities for the nonlinear stochastic heat equation.
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Memoirs of American Mathematical Society
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Vol. 273, no. 1340.
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18
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K. Kim
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Stochastic comparison for stochastic heat equation on Rd.
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Electronic Journal of Probability
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2020
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25, article No. 140, 1--38
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17
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J. Huang, D. Khoshnevisan and K. Kim
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Dense blowup for parabolic SPDEs.
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2019
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Vol. 24, paper no. 118, 1-33
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16
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Y. Hu and D. Nualart
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Nonlinear stochastic time-fractional slow and fast diffusion equations on Rd.
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Stochastic Processes and their Applications
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129, 5073-5112
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15
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J. Huang
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Comparison principle for stochastic heat equation on Rd.
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Annals of Probability
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Vol. 47, No. 2, 989-1035
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14
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K. Kim
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Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency.
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Acta Mathematica Scientia
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2018
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39B (3): 645-668
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13
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Y. Hu, K. Kalbasi and D. Nualart
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Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise.
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Probability Theory and Related Fields
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171(1), 431-457
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12
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R. Balan
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Parabolic Anderson Model with space-time homogeneous Gaussian noise and rough initial condition.
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Journal of Theoretical Probability
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31 (4), 2216-2265
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11
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Y. Hu and D. Nualart
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Two-point correlation function and Feynman-Kac formula for the stochastic heat equation
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Potential Analysis
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2017
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46 (4), 779-797
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10
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K. Kim
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On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations
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Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
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53 (1), 358-388
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9
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M. Cranston, D. Khoshnevisan and K. Kim
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Dissipation and high disorder
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Annals of Probability
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45 (1), 82-99
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8
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D. Khoshnevisan and K. Kim
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A boundedness trichotomy for the stochastic heat equation
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Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
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53 (4), 1991-2004
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7
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Nonlinear stochastic time-fractional diffusion equations on R: moments, Hölder regularity and intermittency
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Transactions of the American Mathematical Society
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369 (12), 8497-8535
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6
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G. Hu, Y. Hu and J. Huang
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Space-time fractional diffusions in Gaussian noisy environment
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Stochastics
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89 (1), 171-206
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5
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D. Khoshnevisan and K. Kim
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Decorrelation of total mass via energy.
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Potential Analysis
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2016
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45 (1), 157-166
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4
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R. Dalang
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Moment bounds and asymptotics for the stochastic wave equation
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Stochastic Processes and their Applications
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2015
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125 (4), 1605-1628 (This paper corresponds mostly to Section 3 of the unpublished notes arXiv:1401.6506v1)
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3
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Moments, intermittency and growth indices for nonlinear stochastic fractional heat equation
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Stochastic Partial Differential Equations: Analysis and Computations
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3 (3), 360-397
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2
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Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions
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Annals of Probability
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43 (6), 3006-3051
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1
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Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions
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Stochastic Partial Differential Equations: Analysis and Computations
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2014
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2 (3), 316-352
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