Integer orbits in rectangular lattice billiards

Paolo Dulio, Andrea Frosini

Type: Article

Publication Date: 2024-07-27

Citations: 0

DOI: https://doi.org/10.1016/j.dam.2024.07.019

View Publication

Locations

Discrete Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Complexity of trajectories in rectangular billiards	1995	Yuliy Baryshnikov
+	Periodic billiard trajectories in polygons	1991	З. Д. Воробец Gregory Galperin Анатолий Михайлович Степин
+	Billiards in near rectangles	2016	Haibin Chang Yilong Yang
+	Spiral Counting on a Rectangular Lattice	2004	P. Sheridan
+	The Enumeration of Lattice Paths With Respect to Their Number of Turns	1997	Christian Krattenthaler
+ PDF Chat	PERIODIC BILLIARD TRAJECTORIES IN POLYHEDRA	2008	Nicolas Bédaride
+ PDF Chat	Periodic orbits for square and rectangular billiards	2024	Hongjia H. Chen Hinke M. Osinga
+	Generating functions of lattice paths	2024	Rui Duarte António Guedes de Oliveira
+	Vertically constrained Motzkin-like paths inspired by bobbin lace	2018	Veronika Irvine Stephen Melczer Frank Ruskey
+	Arbitrarily Large Regions of Invisible Integer Lattice Points	2014	Jasmine Nielsen Austin Goodrich
+	On a recursive construction of circular paths and the search for $\pi$ on the integer lattice $\mathbb{Z}^2$	2016	Michelle Rudolph-Lilith
+ PDF Chat	Uniqueness of billiard coding in polygons	2021	Yunzhe Li
+	Vertically constrained Motzkin-like paths inspired by bobbin lace	2018	Veronika Irvine Stephen Melczer Frank Ruskey
+	On a recursive construction of circular paths and the search for $π$ on the integer lattice $\mathbb{Z}^2$	2016	Michelle Rudolph-Lilith
+	Outer billiards outside regular polygons: tame case	2021	Philip Dmitrievich Rukhovich
+	Billiards in rational polygons: Periodic trajectories, symmetries, and d-stability	1997	З. Д. Воробец
+ PDF Chat	Vertically Constrained Motzkin-Like Paths Inspired by Bobbin Lace	2019	Veronika Irvine Stephen Melczer Frank Ruskey
+ PDF Chat	Periodic billiard orbits are dense in rational polygons	1998	Michael Boshernitzan Gregory Galperin Tyll Krüger Serge Troubetzkoy
+	Lattice paths below a line of rational slope.	2016	Cyril Banderier Michael Wallner
+ PDF Chat	Non-periodic not everywhere dense trajectories in triangular billiards	2024	Julia Slipantschuk Oscar F. Bandtlow Wolfram Just

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (13)

Action	Title	Year	Authors
+	Chapter 13 Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov
+	What is mathematics : an elementary approach to ideas and methods	1996	Richard Courant Herbert Robbins
+ PDF Chat	Periodic billiard orbits are dense in rational polygons	1998	Michael Boshernitzan Gregory Galperin Tyll Krüger Serge Troubetzkoy
+ PDF Chat	On the Generation and Enumeration of some Classes of Convex Polyominoes	2004	Alberto Del Lungo Enrica Duchi Andrea Frosini Simone Rinaldi
+ PDF Chat	The conformal geometry of billiards	2010	Laura DeMarco
+ PDF Chat	Renormalization of polygon exchange maps arising from corner percolation	2012	W. Patrick Hooper
+ PDF Chat	A series of coverings of the regular n-gon	2011	Myriam Finster
+	Billiards in polygons: Survey of recent results	1996	Eugène Gutkin
+ PDF Chat	The growth rate for the number of singular and periodic orbits for a polygonal billiard	1987	A. Katok
+	The number of directed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e616" altimg="si182.svg"><mml:mi>k</mml:mi></mml:math>-convex polyominoes	2019	Adrien Boussicault Simone Rinaldi Samanta Socci