List of Publikációs
Imre Péter Tóth
april 2006
A magyar változat itt található.
Every completed publication can be downloaded from this page.
The printable version of this list can be found
here (pdf).
In preparation
-
Exponential Decay of Correlations in Billiards;
joint with Péter Bálint
Papers in refereed international journals
The final or almost final manuscript can be downloaded from here
in pdf.
Some papers can also be dowloaded from the server of the publisher.
-
Hyperbolicity in multi-dimensional Hamiltonian sytems
with applications to soft billiards;
joint with Péter Bálint;
Discrete and Continuous Dynamical Systems, Series A 15 37-59 (2006).
manuscript;
abstract
-
Correlation Decay in certain soft billiards,
joint with Péter Bálint;
Communications in Mathematical Physics 243 55-91 (2003).
manuscript;
abstract;
download from the publisher
-
Mixing and its rate in `soft' and `hard' billiards motivated by the Lorentz process;
joint with Péter Bálint;
Physica D 187 128-135 (2004).
manuscript;
abstract;
-
Multidimensional Semi-Dispersing Billiards:
Singularities and the Fundamental Theorem;
joint with Péter Bálint, Nikolai Chernov and Domokos Szász;
Annales Henry Poincaré 3 451-482 (2002).
manuscript;
abstract;
-
Geometry of Multidimensional Dispersing Billiards;
joint with Péter Bálint, Nikolai Chernov and Domokos Szász;
Astérisque 286 119-150 (2003).
manuscript;
abstract;
Diploma thesis, PhD thesis
Open problems in Billiards
attempt to collect today's problems of Billiards Theory
into an on-line database
(joint with P\'eter B\'alint and Domokos Sz\'asz);
link
Material appeared in conference-printouts
-
Hyperbolicity in Multi-dimensional Soft Billiards;
summary of talk at the workshop
Applied Mathematics and Computational Physics
(Göd, Hungary, 30 April -- 1 May 2004).
download
-
Correlation Decay in Billiards;
summary of talk at the workshop
Applied Mathematics and Computational Physics
(G\"od, Hungary, 12-13 April 2003);
joint with P\'eter B\'alint.
download
Teaching
-
Proposal for the detailed practice course material
and exercises of the subject ``Mathematics A1'';
(2006) (in Hungarian).
download
Material of numerical investigations
The items here are roughly documented programs and
results obtained from them. All documentation is in Hungarian.
-
Correlation decay of the function f(x)=3x (mod 1) on a lattice;
(2006). The description can be found in the source file triple.c .
link
-
Numerical investigation of scattering on circularly symmetric
potentials in connection with correlation decay of soft
billiards;
(2004). Description in the file _Readme.txt .
link
-
numerical investigation of the inversion number of cycles ;
(2004). Description in the file _Readme.txt .
link
-
Spectrum of the invariant measure for a random iterated
function system;
(2001). Description in the file sorba.ps .
link