Research interests

  • Probability Theory and Stochastic Processes
    • fractional Brownian motion
    • Gaussian regularity theory
    • Malliavin calculus
    • stochastic partial differential equations
    • numerical methods for stochastic processes
    • stochastic optimal control and filtering
  • Financial Mathematics
    • market models driven by fBm
    • stochastic portfolio optimization
    • stochastic volatility
    • Monte-Carlo methods

Publications in refereed journals

  • Valuation of American Equity Options with Quadratic Approximation Models Adopting Fractional Brownian Motion.
    Global Business and Finance Review 15 (2010) no. 2, 127—140.
    With S. W. Heo and J. G. Kang. [Abstract]
  • Valuation of NDX Index call options with fractional Black-Scholes model.
    Global Business and Finance Review 14 (2009) no. 2, 130—142.
    With S. W. Heo and J. J. Park. [Abstract]
  • Portfolio optimization with consumption in a fractional Black-Scholes market.
    Communications on Stochastic Analysis 1 (2007) no. 3, 357—379.
    With F. Viens and T. Zhang. [Abstract]
  • Time regularity of the evolution solution to the fractional stochastic heat equation.
    Discrete and Continuous Dynamical Systems - Series B 6 (2006) no. 4, 895—910.
    With F. Viens. [Abstract]