Boundaries from Inhomogeneous Bernoulli Trials

A.V. Gnedin

doi:10.1007/978-3-0346-0244-0_6

Boundaries from Inhomogeneous Bernoulli Trials

A.V. Gnedin

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The boundary problem is considered for inhomogeneous increasing random walks on the square lattice \mathbbZ2+Z2+ with weighted edges. Explicit solutions are given for some instances related to the classical and generalized number triangles.

Original language	English
Pages (from-to)	91-110
Number of pages	20
Journal	Progress in Probability
Volume	64
DOIs	https://doi.org/10.1007/978-3-0346-0244-0_6
Publication status	Published - 2011

Keywords

Coin-tossing processes
weighted Pascal graph
boundary
combinatorial triangles

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title = "Boundaries from Inhomogeneous Bernoulli Trials",

abstract = "The boundary problem is considered for inhomogeneous increasing random walks on the square lattice \mathbbZ2+Z2+ with weighted edges. Explicit solutions are given for some instances related to the classical and generalized number triangles.",

keywords = "Coin-tossing processes, weighted Pascal graph, boundary, combinatorial triangles",

author = "A.V. Gnedin",

note = "Random walks, Boundaries and Spektra (D. Lenz et al eds),",

year = "2011",

doi = "10.1007/978-3-0346-0244-0_6",

language = "English",

volume = "64",

pages = "91--110",

journal = "Progress in Probability",

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N2 - The boundary problem is considered for inhomogeneous increasing random walks on the square lattice \mathbbZ2+Z2+ with weighted edges. Explicit solutions are given for some instances related to the classical and generalized number triangles.

AB - The boundary problem is considered for inhomogeneous increasing random walks on the square lattice \mathbbZ2+Z2+ with weighted edges. Explicit solutions are given for some instances related to the classical and generalized number triangles.

KW - Coin-tossing processes

KW - weighted Pascal graph

KW - boundary

KW - combinatorial triangles

U2 - 10.1007/978-3-0346-0244-0_6

DO - 10.1007/978-3-0346-0244-0_6

M3 - Article

SN - 1050-6977

VL - 64

SP - 91

EP - 110

JO - Progress in Probability

JF - Progress in Probability

ER -

Boundaries from Inhomogeneous Bernoulli Trials

Abstract

Keywords

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