Dynamical properties of the automorphism groups of the random poset and random distributive lattice

Alexander S. Kechris, and Miodrag Sokić. "Dynamical properties of the automorphism groups of the random poset and random distributive lattice." Fundamenta Mathematicae 218.1 (2012): 69-94. <http://eudml.org/doc/283154>.

@article{AlexanderS2012,
abstract = {A method is developed for proving non-amenability of certain automorphism groups of countable structures and is used to show that the automorphism groups of the random poset and random distributive lattice are not amenable. The universal minimal flow of the automorphism group of the random distributive lattice is computed as a canonical space of linear orderings but it is also shown that the class of finite distributive lattices does not admit hereditary order expansions with the Amalgamation Property.},
author = {Alexander S. Kechris, Miodrag Sokić},
journal = {Fundamenta Mathematicae},
keywords = {automorphism groups; amenability; random poset; random distributive lattice; universal minimal flow; Ramsey theory},
language = {eng},
number = {1},
pages = {69-94},
title = {Dynamical properties of the automorphism groups of the random poset and random distributive lattice},
url = {http://eudml.org/doc/283154},
volume = {218},
year = {2012},
}

TY - JOUR
AU - Alexander S. Kechris
AU - Miodrag Sokić
TI - Dynamical properties of the automorphism groups of the random poset and random distributive lattice
JO - Fundamenta Mathematicae
PY - 2012
VL - 218
IS - 1
SP - 69
EP - 94
AB - A method is developed for proving non-amenability of certain automorphism groups of countable structures and is used to show that the automorphism groups of the random poset and random distributive lattice are not amenable. The universal minimal flow of the automorphism group of the random distributive lattice is computed as a canonical space of linear orderings but it is also shown that the class of finite distributive lattices does not admit hereditary order expansions with the Amalgamation Property.
LA - eng
KW - automorphism groups; amenability; random poset; random distributive lattice; universal minimal flow; Ramsey theory
UR - http://eudml.org/doc/283154
ER -