# Faculty Profile

# Lai-Sang Young

Henry & Lucy Moses Professor of Science

Professor of Mathematics

lsy@cims.nyu.edu

212-998-3286

Warren Weaver Hall, Office 702

## Education

Ph.D., Mathematics, University of California, Berkeley, USA, 1978.

M.S., Mathematics, University of California, Berkeley, USA, 1976.

B.A., Mathematics, University of Wisconsin, USA, 1973.

## Research Interests

My area of research is Dynamical Systems, a branch of modern mathematics concerned with time evolutions of natural and iterative processes. I have worked mostly with chaotic systems. Among my favorite topics are Lyapunov exponents, entropy, fractal dimension, strange attractors, random perturbations, and rates of correlation decay. I have also worked with concrete models including particle systems (billiards) and kicked oscillators. In the last 10+ years, I have become more interested in applications, and my focus has shifted toward large systems, to systems with both deterministic and stochastic components, and systems that are out of equilibrium. More recently I have expanded my research to include Theoretical Neuroscience.

## Selected Publications

L.S. Young,
"Statistical properties of dynamical systems with some hyperbolicity",
Annals of Mathematics
147, 585-650 (1998)

Q.D. Wang and L.S. Young,
"Toward a theory of rank one attractors",
Annals of Mathematics
167, no.2, 349-480 (2008)

A. Rangan and L.S. Young,
"Emergent dynamics in a model of visual cortex",
Journal of Computational Neuroscience
35, no. 2, 155-167 (2013)