Peter Nandori
Courant Instructor
Courant Institute of Mathematical Sciences,
New York University
Contact information
Office: 926 Warren Weaver Hall
Phone: (212) 998 27338
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)
To appear in Communications in Mathematical Physics, 2013.
- (with D. Dolgopyat)
Non equilibrium density profiles in Lorentz tubes with thermostated boundaries
(pdf)
Preprint 2014.
Teaching
- 2014 Spring
- Mathematics for economics 2
- Office hours:
Tuesday 4:00 pm - 5:00 pm,
Wednesday 10:00 am - 11:00 am, or by appointment
- 2013 Fall
- Analysis 1
My old web page is available here.