Add to ORKGWe establish the amenability, unique ergodicity and nonamenability of various automorphism groups from Cherlin's list of countable homogeneous directed graphs. This marks a complete understanding of the amenability of the automorphism groups from this list, and except for the Semigeneric graph case, marks a complete understanding of the unique ergodicity of these groups. Along the way we establish that a certain product of Fraïssé classes preserves amenability, unique ergodicity and the Hrushovski property. We also establish the unique ergodicity of various other automorphism groups of Fraïssé structures that do not appear on Cherlin's list.Ph.D
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
Abstract. We show that amenability of a group acting by homeomorphisms can be deduced from a certain...
Groups of automorphisms of graphs - abstract In this thesis we investigate automorphism groups of se...
We establish the amenability, unique ergodicity and nonamenability of various automorphism groups fr...
In this paper we consider those Fräısse ́ classes which admit companion classes in the sense of [KP...
This is joint work separately with Miodrag Sokic and Marcin Sabok. Given a Fraisse class, there are ...
This thesis is at the intersection of dynamics, combinatorics and probability theory. My work focuse...
Homogenous structures exhibit a high degree of symmetry. In particular their automorphism group is t...
AbstractHodges et al. showed that the countable random graph has the small index property. The stron...
The last condition of the main thm was removed, the proofs are streamlinedInternational audienceWe s...
We investigate the properties of graphs which are homogeneous in the sense of Fraisse when consider...
Hodges et al. showed that the countable random graph has the small index property. The stronger resu...
AbstractSeveral groups are associated naturally with acyclic directed graphs and in particular with ...
Using Hrushovski’s predimension construction, we show that there exists a countable, $\omega$-catego...
A directed graph is connected-homogeneous if any isomorphism between every two finite connected subd...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
Abstract. We show that amenability of a group acting by homeomorphisms can be deduced from a certain...
Groups of automorphisms of graphs - abstract In this thesis we investigate automorphism groups of se...
We establish the amenability, unique ergodicity and nonamenability of various automorphism groups fr...
In this paper we consider those Fräısse ́ classes which admit companion classes in the sense of [KP...
This is joint work separately with Miodrag Sokic and Marcin Sabok. Given a Fraisse class, there are ...
This thesis is at the intersection of dynamics, combinatorics and probability theory. My work focuse...
Homogenous structures exhibit a high degree of symmetry. In particular their automorphism group is t...
AbstractHodges et al. showed that the countable random graph has the small index property. The stron...
The last condition of the main thm was removed, the proofs are streamlinedInternational audienceWe s...
We investigate the properties of graphs which are homogeneous in the sense of Fraisse when consider...
Hodges et al. showed that the countable random graph has the small index property. The stronger resu...
AbstractSeveral groups are associated naturally with acyclic directed graphs and in particular with ...
Using Hrushovski’s predimension construction, we show that there exists a countable, $\omega$-catego...
A directed graph is connected-homogeneous if any isomorphism between every two finite connected subd...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
Abstract. We show that amenability of a group acting by homeomorphisms can be deduced from a certain...
Groups of automorphisms of graphs - abstract In this thesis we investigate automorphism groups of se...