The average length of a trajectory in a certain billiard in a flat two-torus

Florin P. Boca, Radu N. Gologan, Alexandru Zaharescu

Type: Article

Publication Date: 2003-01-01

Citations: 21

Locations

New York journal of mathematics - View

Similar Works

Action	Title	Year	Authors
+	The average length of a trajectory in a certain billiard in a flat two-torus	2001	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+ PDF Chat	The Statistics of the Trajectory of a Certain Billiard in a Flat Two-Torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+	Average diffusion rate of Ehrenfest Wind-tree billiards	2023	Simon Barazer
+	Complexity of trajectories in rectangular billiards	1995	Yuliy Baryshnikov
+	Interlacement limit of a stopped random walk trace on a torus	2021	Antal A. Járai Minwei Sun
+	Typical properties of periodic billiard trajectories	1987	Luchezar Stoyanov
+ PDF Chat	Homotopical complexity of a billiard flow on the 3D flat torus with two cylindrical obstacles	2017	Caleb C. Moxley Nándor Simányi
+ PDF Chat	PERIODIC BILLIARD TRAJECTORIES IN POLYHEDRA	2008	Nicolas Bédaride
+ PDF Chat	Lower estimates for the number of closed trajectories of generalized billiards	2006	Fedor Duzhin
+	Billiard Trajectories in a Polyhedral Angle	2010	Ya. G. Sinaĭ
+ PDF Chat	Interlacement limit of a stopped random walk trace on a torus	2023	Antal A. Járai Minwei Sun
+	Homotopical Complexity of a 3D Billiard Flow	2016	Caleb C. Moxley Nándor Simányi
+	Homotopical Complexity of a Billiard Flow on the 3D Flat Torus with Two Cylindrical Obstacles	2016	Caleb C. Moxley Nándor Simányi
+	Homotopical Complexity of a Billiard Flow on the 3D Flat Torus with Two Cylindrical Obstacles	2016	Caleb C. Moxley Nándor Simányi
+	Random Walk on the Torus and Random Interlacements	2014	Alexander Drewitz Balázs Ráth Artëm Sapozhnikov
+	On the affine random walk on the torus	2017	Jean-Baptiste Boyer
+	Fluctuation results for size of the vacant set for random walks on discrete torus	2021	Partha S. Dey Daesung Kim
+	Straightening Billiard Trajectories in Flat Disks and Katok-Zemlyakov Construction	2019	Ísmail Sağlam
+ PDF Chat	Acceleration in a nonplanar time-dependent billiard	2016	Sedighe Raeisi Parvin Eslami
+ PDF Chat	A billiard in the hyperbolic plane with decay of correlation of type $n^{-2}$	1997	Martin Bauer Artur O. Lopes

Works That Cite This (21)

Action	Title	Year	Authors
+ PDF Chat	THE CORRELATIONS OF FAREY FRACTIONS	2005	Florin P. Boca Alexandru Zaharescu
+ PDF Chat	The Statistics of the Trajectory of a Certain Billiard in a Flat Two-Torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+ PDF Chat	A note on Farey fractions with denominators in arithmetic progressions	2011	Dzmitry Badziahin Alan Haynes
+ PDF Chat	A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE	2005	Emre Alkan T. V. SELVAKUMARAN Alexandru Zaharescu
+	A bias phenomenon on the behavior of Dedekind sums	2008	Emre Alkan Maosheng Xiong Alexandru Zaharescu
+	Arithmetic mean of differences of Dedekind sums	2007	Emre Alkan Maosheng Xiong Alexandru Zaharescu
+	Poincaré sections for the horocycle flow in covers of $$\mathrm {SL}(2,\mathbb {R})/\mathrm {SL}(2,\mathbb {Z})$$ and applications to Farey fraction statistics	2016	Byron Heersink
+	Distribution of the linear flow length in a honeycomb in the small-scatterer limit	2010	Florin P. Boca
+	A BRIEF SUMMARY OF PAST RESEARCH AND CURRENT PROJECTS	2006	Alan Haynes
+ PDF Chat	The Distribution of the Free Path Lengths in the Periodic Two-Dimensional Lorentz Gas in the Small-Scatterer Limit	2006	Florin P. Boca Alexandru Zaharescu

Works Cited by This (24)

Action	Title	Year	Authors
+ PDF Chat	On consecutive Farey arcs	1984	Robert E. Hall Gérald Tenenbaum
+	Fundamentals of number theory	1977	W. J. LeVeque
+	None	2001	M. N. Huxley Anatoly Zhigljavsky
+ PDF Chat	Perturbed billiard systems, I. The ergodicity of the motion of a particle in a compound central field	1976	Izumi Kubo
+ PDF Chat	On consecutive Farey arcs II	1994	Robert E. Hall
+	Markov partitions for two-dimensional hyperbolic billiards	1990	Leonid Bunimovich Yakov G. Sinai N. Chernov
+ PDF Chat	The Lyapunov exponent in the Sinai billiard in the small scatterer limit	1997	Per Dahlqvist
+	Asymptotic behaviour of a particle in a Lorentz gas	1992	Gregory Galperin
+ PDF Chat	On the mean free path for a periodic array of spherical obstacles	1996	H. Scott Dumas Laurent Dumas François Golse
+ PDF Chat	Measures with infinite Lyapunov exponents for the periodic Lorentz gas	1996	N. Chernov Serge Troubetzkoy