A parity problem on the free path length of a billiard in the unit square with pockets

DOI10.7169/facm/1229442614zbMath1128.11042OpenAlexW1993295662MaRDI QIDQ873766

Andrew H. Ledoan, Emre Alkan, Alexandru Zaharescu

Publication date: 20 March 2007

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229442614

zbMATH Keywords

billiardsKloosterman sumsperiodic Lorentz gasFarey fractionsfree path lengthvisible points

Mathematics Subject Classification ID

Cites Work

• On the distribution of free path lengths for the periodic Lorentz gas
• On the distribution of free path lengths for the periodic Lorentz gas. III.
• The statistics of the trajectory of a certain billiard in a flat two-torus
• The average length of a trajectory in a certain billiard in a flat two-torus
• On the distribution of the Farey sequence with odd denominators
• Distribution of lattice points visible from the origin
• On a problem of Dinaburg and Sinai
• The distribution of special subsets of the Farey sequence
• A note on Farey fractions with odd denominators.
• A conjecture of R. R. Hall on Farey points
• An Asymptotic Formula in the Theory of Numbers
• A Note on Farey Series
• The distribution of Farey points, I
• On the correlations of directions in the Euclidean plane
• On Kloosterman's sum
• On Some Exponential Sums
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