The Markovian hyperbolic triangulation

Curien, 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 -