Daniel Remenik

Visiting Assistant Professor of Mathematics

Web Site Contact Information Office:  409 Malott Hall Phone:  (607) 255-5503 Fax:  (607) 255-7149 Email:  dir4@cornell.edu Courses & Office Hours

Education

Ph.D. (2009) Cornell University

Research Area: Probability

My research area is probability theory, and in particular interacting particle systems. These systems typically consist on a finite or infinite number of particles which evolve randomly in time and where there is some stochastic rule governing how the evolutions of different particles depend on each other. My research so far has focused on particle systems which are inspired by concrete problems coming mainly from biology, but also from economics and statistical physics.

Selected Publications

Level-wise approximation of a Markov process associated to the boundary of an infinite tree (with S. Martínez and J. San Martín), Journal of Theoretical Probability 20 (2007), 561–579.

The contact process in a dynamic random environment, Annals of Applied Probability 18 (2008), 2392–2420.

Limit theorems for individual-based models in economics and finance, Stochastic Processes and their Applications 119 (2009), 2401–2435.

Chaos in a spatial epidemic model (with R. Durrett), Annals of Applied Probability 19 (2009), 1656–1685.

Last modified: September 11, 2009