Papanicolaou

George C. Papanicolaou

Robert Grimmett Professor in Mathematics
Mathematics Department
Stanford University
Stanford, CA 94305
papanicolaou@stanford.edu

Office: Mathematics Department, Building 380, 383V
Phone: (650)723-2081
Fax: (650)725-4066

A CV in postscript is here. In pdf here.

A list of publications in postscript is here. In pdf here.

The Mathematical Geophysics Summer School at Stanford

This is an NSF funded program in applied mathematics. For more information look here.

The MS Program in Financial Mathematics

The web page for the MS-FM Program is here.

Applied Mathematics in the Mathematics Department

A brief description of our activities is here.

The quarterly schedule of the Applied Mathematics Seminar is here.

The Mathematics Department web page is here.

The Scientific Computing and Computational Mathematics Program (SCCM) web page is here.

In the past I have been interested in waves and diffusion in inhomogeneous or random media and in the mathematical analysis of multi-scale phenomena that arise in their study. Applications come from electromagnetic wave propagation in the atmosphere, underwater sound, waves in the lithosphere, diffusion in porous media, etc. I have studied both linear and nonlinear waves and diffusion, in both direct and inverse problems. I am now working on assessing multi-pathing effects in communication systems, especially when time reversal arrays are used.

Another recent interest is financial mathematics, the use of asymptotics for stochastic equations in analyzing complex models of financial markets and in data analysis.

SpecLab

The documentation of the software package SpecLab, by G. Papanicolaou, C. Rino and K. Solna, is here . This software package is designed to simulate and analyze data with local power law spectra. It was completed under a Phase I Strategic Technology Transfer (STTR) project. The documentation in pdf is here .

Stochastic Volatility

The book: Derivatives in Financial Markets with Stochastic Volatility by Jean-Pierre Fouque, George Papanicolaou and K. Ronnie Sircar was published by Cambridge University Press in June 2000. It is also available from here , from here and from here .

Derivatives in Financial Markets with Stochastic Volatility