Random walk on the Poincar\'{e} disk induced by a group of M\"{o}bius transformations

zbMath1442.60072arXiv1804.06263MaRDI QIDQ5219079

Charles McCarthy, Alexander Roitershtein, Gavin Nop, Reza Rastegar

Publication date: 6 March 2020

Full work available at URL: https://arxiv.org/abs/1804.06263

zbMATH Keywords

random walkslimit theoremsPoincaré diskbipolar coordinatesiterated random functionsrandom Möbius transformationsrandom motiongyrotranslations

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Discrete-time Markov processes on general state spaces (60J05) Strong limit theorems (60F15) Large deviations (60F10)

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