Research Interests

Frederi Viens's research deals principally with stochastic analysis. The following is a more detailed list by theme.

Probability Theory
Regularity of Random Fields
Malliavin Calculus
Spin Glasses
Products of Random Matrices
Stochastic Processes
Stochastic Partial Differential Equations
Fractional Brownian Motion
Stochastic Integration
Branching and Interacting Particle Systems
Numerical Methods for Stochastic Processes
Nonlinear Stochastic Filtering
Propagation of Chaos
Mathematical Finance
Stochastic Portfolio Optimization
Stochastic Volatility
Monte-Carlo and Particle Methods
Financial Time Series
Other fields
Parameter Estimation (Statistics)
Magneto-hydrodynamics
Non-linear Semigroups
Harmonic Analysis on Lie Groups
Optimal Control