Infinite geodesics in the discrete Heisenberg group

DOI10.1007/s10958-018-3862-5zbMath1393.37047OpenAlexW2803830841WikidataQ129766142 ScholiaQ129766142MaRDI QIDQ1661538

Y. Aharonov

Publication date: 16 August 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3862-5

zbMATH Keywords

Heisenberg groupclassification of infinite geodesics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Geometric group theory (20F65) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

The absolute of finitely generated groups. II: The Laplacian and degenerate parts ⋮ Asymptotics of the number of geodesics in the discrete Heisenberg group

Cites Work

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• Phase transition in the exit boundary problem for random walks on groups
• A geometric approach to the almost convexity and growth of some nilpotent groups
• Equipped graded graphs, projective limits of simplices, and their boundaries
• The absolute of finitely generated groups. I: Commutative (semi)groups
• Intrinsic metric on graded graphs, standardness, and invariant measures
• The problem of describing central measures on the path spaces of graded graphs

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