# The Markovian hyperbolic triangulation

Nicolas Curien; Wendelin Werner

Journal of the European Mathematical Society (2013)

- Volume: 015, Issue: 4, page 1309-1341
- ISSN: 1435-9855

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topCurien, Nicolas, and Werner, Wendelin. "The Markovian hyperbolic triangulation." Journal of the European Mathematical Society 015.4 (2013): 1309-1341. <http://eudml.org/doc/277642>.

@article{Curien2013,

abstract = {We construct and study the unique random tiling of the hyperbolic plane into ideal hyperbolic triangles (with the three corners located on the boundary) that is invariant (in law) with respect to Möbius transformations, and possesses a natural spatial Markov property that can be roughly described as the conditional independence of the two parts of the triangulation on the two sides of the edge of one of its triangles.},

author = {Curien, Nicolas, Werner, Wendelin},

journal = {Journal of the European Mathematical Society},

keywords = {random complete triangulation; hyperbolic plane; random complete triangulation; hyperbolic plane},

language = {eng},

number = {4},

pages = {1309-1341},

publisher = {European Mathematical Society Publishing House},

title = {The Markovian hyperbolic triangulation},

url = {http://eudml.org/doc/277642},

volume = {015},

year = {2013},

}

TY - JOUR

AU - Curien, Nicolas

AU - Werner, Wendelin

TI - The Markovian hyperbolic triangulation

JO - Journal of the European Mathematical Society

PY - 2013

PB - European Mathematical Society Publishing House

VL - 015

IS - 4

SP - 1309

EP - 1341

AB - We construct and study the unique random tiling of the hyperbolic plane into ideal hyperbolic triangles (with the three corners located on the boundary) that is invariant (in law) with respect to Möbius transformations, and possesses a natural spatial Markov property that can be roughly described as the conditional independence of the two parts of the triangulation on the two sides of the edge of one of its triangles.

LA - eng

KW - random complete triangulation; hyperbolic plane; random complete triangulation; hyperbolic plane

UR - http://eudml.org/doc/277642

ER -

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