Word metric, stationary measure and Minkowski's question mark function

DOI10.2478/udt-2020-0009zbMath1498.22009OpenAlexW3118482502MaRDI QIDQ2129349

Uriya Pumerantz

Publication date: 22 April 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/udt-2020-0009

zbMATH Keywords

Minkowski's question mark functionstationary measureword metriclattice orbits

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Convergence of probability measures (60B10) Continued fractions; complex-analytic aspects (30B70) Ergodic theory (37A99)

Cites Work

• Unnamed Item
• Distribution of lattice orbits on homogeneous varieties
• A new light on Minkowski's \(?(x)\) function
• Orbit distribution on \(\mathbb R^2\) under the natural action of \(\mathrm{SL}(2,\mathbb Z)\)
• On Poincaré's theorem for fundamental polygons
• Central limit theorem on hyperbolic groups
• Distribution of orbits in ℝ2 of a finitely generated group of SL(2,ℝ)
• Combinatorics of Coxeter Groups
• The Modular Surface and Continued Fractions
• Distribution des orbites des réseaux sur le plan réel

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