Preprints and Reprints

  • (with D. Khoshnevisan and K. Kim) Dissipation in Parabolic SPDEs II: Oscillation and decay of the solution
    PDF file

  • (with D. Khoshnevisan and K. Kim) Phase analysis for a family of stochastic reaction-diffusion equations
    PDF file

  • (with S. Athreya and M. Joseph) Small ball probabilities and a support theorem for the stochastic heat equation
    PDF file

  • (with E. Neuman) Scaling Properties of a Moving Polymer
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  • (with R. Dalang and Y. Xiao) Polarity of Almost All Points for Systems of Non-Linear Stochastic Heat Equations in the Critical Dimension
    PDF file

  • (with E. Neuman, M. Salins, and G. Truong) An improved uniqueness result for a system of SDE related to the stochastic wave equation
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  • (with R. Dalang, C. Y. Lee, and Y. Xiao) Multiple Points of Gaussian Random Fields
    PDF file

  • (with L. Mytnik and L. Ryzhik) The speed of a random front for stochastic reaction-diffusion equations with strong noise
    PDF file

  • (with D. Khoshnevisan, K. Kim, and S-Y Shiu) Dissipation in Parabolic SPDEs
    PDF file

  • (with K. Lin) Can the stochastic wave equation with strong drift hit zero?
    PDF file

  • (with J.J. Lee, and E. Neuman) Hitting Probabilities of a Brownian Flow with Radial Drift
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  • (with A. Gomez, J.J. Lee, E. Neuman, and M. Salins) On Uniqueness And Blowup Properties For a Class Of Second Order SDES
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  • (with L. Mytnik and E. Perkins) On the Boundary of the Support of Super-Brownian Motion
    PDF file

  • (with R. Dalang and Y. Xiao) Polarity of points for Gaussian random fields
    PDF file

  • (with M. Joseph and D. Khoshnevisan) Strong invariance and noise-comparison principles for some parabolic stochastic PDEs
    PDF file

  • (with A. Gomez, K. Lee, A. Wei, and J. Xiong) Strong Uniqueness for an SPDE via backward doubly stochastic differential equations
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  • (with R. Dalang) Multiple points of the Brownian sheet in critical dimensions
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  • (with L. Mytnik and E. Perkins) Nonuniqueness for a parabolic SPDE with \(\frac{3}{4}-\epsilon\) Holder diffusion coefficients
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  • (with S. Starr) The Length of the Longest Increasing Subsequence of a Random Mallows Permutation
    PDF file

  • (with K. Burdzy and E. Perkins) Non-uniqueness for non-negative solutions of parabolic stochastic partial differential equations.
    PDF file

  • (with Y. Bakhtin) Solutions of semilinear wave equation via stochastic cascades.
    PDF file

  • (with K. Kim and R. Sowers) A stochastic moving boundary value problem.
    PDF file

  • (with L. Mytnik and J. Quastel) Effect of noise on front propagation in reaction-diffusion equations of KPP type.
    PDF file

  • (with R. Tribe) A phase diagram for a stochastic reaction diffusion system.
    PDF file

  • (with Z. Wu) A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand.
    PDF file

  • (with L. Mytnik and J. Quastel) Small noise asymptotics of traveling waves.
    (This is a survey)
    PDF file

  • (with R. Dalang) Intermittency properties in a hyperbolic Anderson problem
    PDF file

  • (with R. Nualart) Regularity of the density for the stochastic heat equation
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  • (with K. Lee) On the discrete heat equation taking Values on a tree
    PDF file

  • SPDE notes from a Utah summer school.
    PDF file