Travelling randomly on the Poincaré half-plane with a Pythagorean compass

DOI10.1007/s10955-007-9430-xzbMath1139.82036arXiv1107.4914OpenAlexW1968918672WikidataQ114225382 ScholiaQ114225382MaRDI QIDQ2473364

Valentina Cammarota, Enzo Orsingher

Publication date: 27 February 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4914

zbMATH Keywords

hyperbolic functionsPoisson processrandom motionstelegraph processCardano formulaCarnot and Pythagorean hyperbolic formulashyperbolic and spherical trigonometry

Mathematics Subject Classification ID

Brownian motion (60J65) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (6)

Anomalous recurrence of Markov chains on negatively curved manifolds ⋮ Motion among random obstacles on a hyperbolic space ⋮ Detailing losses in the \(\mathrm{M}/\mathrm{M}/1/1\) transient loss system ⋮ Cascades of particles moving at finite velocity in hyperbolic spaces ⋮ Interloss time in \(M/M/1/1\) loss system ⋮ Lost customers in \(M/M/1/1\) loss system

Cites Work

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• Hyperbolic geometrical optics: Hyperbolic glass
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• Semi-groupe du mouvement brownienhyperbolique
• Random walk on the Bethe lattice and hyperbolic Brownian motion
• Exact Joint Distribution In a Model of Planar Random Motion
• Hyperbolic and fractional hyperbolic Brownian motion

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