Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group

zbMath1263.60039arXiv1103.0192MaRDI QIDQ2906177

Guy Fayolle, Kilian Raschel

Publication date: 5 September 2012

Full work available at URL: https://arxiv.org/abs/1103.0192

zbMATH Keywords

automorphismgenerating functiongenusquarter-planeWeierstrass elliptic functionpiecewise homogeneous random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Compact Riemann surfaces and uniformization (30F10) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

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