Peter Nandori
Courant Instructor
Courant Institute of Mathematical Sciences,
New York University
Contact information
Office: 926 Warren Weaver Hall
Phone: (212) 992 7338
Research
I am interested in Dynamical Systems and Probability theory.
Especially, I investigate stochastic properties of certain hyperbolic
dynamical systems. A reasonable amount of my work concerns Sinai
billiards. Here you can find
my PhD thesis which I defended in 2013 at the
Budapest University of Technology
under the supervision of
prof. Domokos Szasz.
Papers
- Recurrence properties of a special type of Heavy-Tailed Random Walk
(pdf)
Journal of Statistical Physics,
142, 2: 342-355, 2011.
The final publication is available at www.springerlink.com
- Number of distinct sites visited by a random walk with internal states
(pdf)
Probability Theory and Related Fields
150, 3: 373-403, 2011.
The final publication is available at www.springerlink.com
- (with D. Szasz and T. Varju)
A central limit theorem for time-dependent dynamical systems
(arXiv version)
Journal of Statistical Physics,
146, 6: 1213-1220, 2012.
The final publication is available at www.springerlink.com
- (with D. Szasz) Lorentz Process with shrinking holes in a wall
(arXiv version)
Chaos: An Interdisciplinary Journal of Nonlinear Science
22, 2, 026115, 2012.
- (with D. Szasz and T. Varju)
Tail asymptotics of free path lengths for the periodic Lorentz process. On Dettmann's geometric conjectures.
(arXiv version)
Communications in Mathematical Physics, 331, 1, 111-137, 2014.
The final publication is available at link.springer.com
- (with D. Dolgopyat)
Non equilibrium density profiles in Lorentz tubes with thermostated boundaries
(pdf)
to appear in Communications on Pure and Applied Mathematics.
Teaching
- 2015 Spring
- Chaos and Dynamical Systems
- Office hours:
Monday 4:00 pm - 6:00 pm, or by appointment
- 2014 Fall
- Analysis 2
- 2014 Spring
- Mathematics for economics 2
- 2013 Fall
- Analysis 1
My old web page is available here.