Add to ORKGRandomizations are continuous structures consisting of random variables with values on a given family of structures. We show that if G is a definable group on a continuous structure then G^R , the randomization of the group, defined as the set of variables whose values belong to the group, is definably connected, i.e. it has no proper invariant subgroups of bounded index
The classical theory of Random Walks describes the asymptotic behavior of sums of independent identi...
Abstract. We consider models of random groups in which the typical group is of intermediate rank (in...
A stationary random graph is a random rooted graph whose distribution is invariant under re-rooting ...
Randomizations are continuous structures consisting of random variables with values on a given famil...
Abstract. The notion of a randomization of a first order structure was introduced by Keisler in the ...
We study automorphism groups of randomizations of separable structures, with focus on the $\aleph_0$...
In this paper we study the action of a countable group $\Gamma$ on the space of orders on the group....
Hodges et al. showed that the countable random graph has the small index property. The stronger resu...
AbstractHodges et al. showed that the countable random graph has the small index property. The stron...
We study two global structural properties of a graph , denoted AS and CFS, which arise in a natural ...
International audienceWe consider models of random groups in which the typical group is of intermedi...
Abstract. An invariant random subgroup (IRS) of a countable discrete group Γ is, by definition, a co...
We study theories of spaces of random variables: first, we consider random variables with values in ...
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing th...
For many combinatorial objects we can associate a natural probability distribution on the members of...
The classical theory of Random Walks describes the asymptotic behavior of sums of independent identi...
Abstract. We consider models of random groups in which the typical group is of intermediate rank (in...
A stationary random graph is a random rooted graph whose distribution is invariant under re-rooting ...
Randomizations are continuous structures consisting of random variables with values on a given famil...
Abstract. The notion of a randomization of a first order structure was introduced by Keisler in the ...
We study automorphism groups of randomizations of separable structures, with focus on the $\aleph_0$...
In this paper we study the action of a countable group $\Gamma$ on the space of orders on the group....
Hodges et al. showed that the countable random graph has the small index property. The stronger resu...
AbstractHodges et al. showed that the countable random graph has the small index property. The stron...
We study two global structural properties of a graph , denoted AS and CFS, which arise in a natural ...
International audienceWe consider models of random groups in which the typical group is of intermedi...
Abstract. An invariant random subgroup (IRS) of a countable discrete group Γ is, by definition, a co...
We study theories of spaces of random variables: first, we consider random variables with values in ...
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing th...
For many combinatorial objects we can associate a natural probability distribution on the members of...
The classical theory of Random Walks describes the asymptotic behavior of sums of independent identi...
Abstract. We consider models of random groups in which the typical group is of intermediate rank (in...
A stationary random graph is a random rooted graph whose distribution is invariant under re-rooting ...