Non-intersecting, simple, symmetric random walks and the extended Hahn kernel

Kurt Johansson[1]

  • [1] Royal Institute of Technology, department of mathematics, 100 44 Stockholm (Suède)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 6, page 2129-2145
  • ISSN: 0373-0956

Abstract

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We show using non-intersecting paths, that a random rhombus tiling of a hexagon, or a boxed planar partition, is described by a determinantal point process given by an extended Hahn kernel.

How to cite

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Johansson, Kurt. "Non-intersecting, simple, symmetric random walks and the extended Hahn kernel." Annales de l’institut Fourier 55.6 (2005): 2129-2145. <http://eudml.org/doc/116247>.

@article{Johansson2005,
abstract = {We show using non-intersecting paths, that a random rhombus tiling of a hexagon, or a boxed planar partition, is described by a determinantal point process given by an extended Hahn kernel.},
affiliation = {Royal Institute of Technology, department of mathematics, 100 44 Stockholm (Suède)},
author = {Johansson, Kurt},
journal = {Annales de l’institut Fourier},
keywords = {Non-intersecting paths; Dysons's Brownian motion; planar partitions; random tiling; determintal process; non-intersecting paths; Dyson's Brownian motion; tilings; Hahn polynomials; determinantal process},
language = {eng},
number = {6},
pages = {2129-2145},
publisher = {Association des Annales de l'Institut Fourier},
title = {Non-intersecting, simple, symmetric random walks and the extended Hahn kernel},
url = {http://eudml.org/doc/116247},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Johansson, Kurt
TI - Non-intersecting, simple, symmetric random walks and the extended Hahn kernel
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 6
SP - 2129
EP - 2145
AB - We show using non-intersecting paths, that a random rhombus tiling of a hexagon, or a boxed planar partition, is described by a determinantal point process given by an extended Hahn kernel.
LA - eng
KW - Non-intersecting paths; Dysons's Brownian motion; planar partitions; random tiling; determintal process; non-intersecting paths; Dyson's Brownian motion; tilings; Hahn polynomials; determinantal process
UR - http://eudml.org/doc/116247
ER -

References

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