Peter Nandori
Brin postdoctoral fellow
Department of Mathematics,
University of Maryland
Contact information
Office: Math Building 3311
Phone: (301) 405 5146
Research
I am interested in Dynamical Systems and Probability theory.
Especially, I investigate stochastic properties of certain hyperbolic
dynamical systems, e.g., the Sinai billiard. I am also interested in the
mathematical derivation of the heat equation from deterministic microscopic
systems.
Before coming to Maryland, I was a Courant Instructor/Assistant Professor at the
New York University between 2013 and 2015,
where my mentor was prof. LaiSang Young .
Before that, I was a graduate student at the
Budapest University of Technology
under the supervision of
prof. Domokos Szasz.
Here you can find
my PhD thesis.
Papers
 (with D. Dolgopyat)
Infinite measure renewal theorem and related results
Preprint
 (with P. Balint, D. Szasz and I. P. Toth)
Equidistribution for standard pairs in planar dispersing billiard flows
Preprint
 (with D. Dolgopyat)
The first encounter of two billiard particles of small radius
Preprint

Local equilibrium in inhomogeneous stochastic models of heat transport
Journal of Statistical Physics, 164, 2: 410437, 2016
The final publication is available at
www.springerlink.com
 (with P. Balint, T. Gilbert, D. Szasz and I. P. Toth)
On the limiting Markov process of energy exchanges in a rarely interacting ballpiston gas
to appear in
Journal of Statistical Physics
 (with Z. Shen)
Logarithmic scaling of planar random walk's local times
to appear in Studia Sci. Math. Hungarica
 (with Y. Li and LS. Young)
Local thermal equilibrium for certain stochastic models of heat transport
Journal of Statistical Physics,
163, 1: 6191, 2016.
The final publication is available at
www.springerlink.com
 (with D. Dolgopyat)
Non equilibrium density profiles in Lorentz tubes with thermostated boundaries
Communications on Pure and Applied Mathematics
69, 4: 649692, 2016.
 (with D. Szasz and T. Varju)
Tail asymptotics of free path lengths for the periodic Lorentz process. On Dettmann's geometric conjectures.
Communications in Mathematical Physics, 331, 1, 111137, 2014.
The final publication is available at
link.springer.com
 (with D. Szasz and T. Varju)
A central limit theorem for timedependent dynamical systems
Journal of Statistical Physics,
146, 6: 12131220, 2012.
The final publication is available at
www.springerlink.com
 (with D. Szasz)
Lorentz Process with shrinking holes in a wall
Chaos: An Interdisciplinary Journal of Nonlinear Science
22, 2, 026115, 2012.

Recurrence properties of a special type of HeavyTailed Random Walk
Journal of Statistical Physics,
142, 2: 342355, 2011.
The final publication is available at
www.springerlink.com

Number of distinct sites visited by a random walk with internal states
Probability Theory and Related Fields
150, 3: 373403, 2011.
The final publication is available at
www.springerlink.com
Teaching
 Spring 2017
 STAT 401: Applied Probability and Statistics II
 Office hours:
Monday 3:00 pm  5:00 pm and Thursday 11:30 am  12:30 pm
 Fall 2016
 MATH 241: Calculus III
 MATH 401: Applications of Linear Algebra
 Spring 2016
 MATH 141H: Calculus II
 Fall 2015
 STAT 401: Applied Probability and Statistics II
My old web pages are available here and here.