Office Location: | 029B Physics |

Email Address: | |

Web Page: | http://www.math.duke.edu/~odiaz |

**Office Hours:**- Tentatively T-Th 13:00-14:00

**Education:**PhD University of Texas at Austin 2006 MS CINVESTAV-IPN 1995 BS Universidad Nacional Autonoma de Mexico 1993

**Specialties:**-
Probability

Applied Math

**Research Interests:***Dynamical Systems, Probability*My research deals with the study of limit theorems of processes that explain the macroscopic behavior of systems appearing in applications: water waves, dynamical systems, biology.

**Areas of Interest:**Probability

Analysis

Dynamical Systems

**Keywords:**Functional limit theorems, Random dynamical systems, ergodic theory.

**Recent Publications**- with A. de Bouard, W. Craig, P. Guyenne and C. Sulem,
*Long wave expansions for water waves over random topography*, Nonlinearity, vol. 21 no. 9 (2008), pp. 2143--2178 - with de la Llave,
*Renormalization of arbitrary weak noises for one-dimensional critical dynamical systems: summary of results and numerical explorations*, in Holomorphic dynamics and renormalization., Fields Inst. Commun., vol. 53 (2008), pp. 331--359, American Mathematical Society - with with. de la Llave, R,
*Renormalization and central limit theorem for critical dynamical systems with weak external noise*, J. Modern Dynamics, vol. 1 no. 3 (2007), pp. 477-543

- with A. de Bouard, W. Craig, P. Guyenne and C. Sulem,