Add to ORKGAbstract. The purpose of this article is to connect the notion of the amenability of a discrete group with a new form of structural Ramsey theory. The Ramsey theoretic reformulation of amenabil-ity constitutes a considerable weakening of the Følner criterion. As a by-product, it will be shown that in any non amenable group G, there is a subset E of G such that no finitely additive probability measure on G measures all translates of E equally. The analysis of discrete groups will be generalized to the setting of automorphism groups of ultrahomogeneous structures. 1
We start this thesis by introducing the theory of locally compact groups and their associated Haar m...
Amenability developed alongside modern analysis, as it is a central property lacking in a group used...
Extensive amenability is a property of group actions which has recently been used as a tool to prove...
Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures ...
Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures ...
Abstract. A discrete group G is called inner amenable if there exists a mean m on l∞(G) such that m(...
Abstract. A discrete group G is called inner amenable if there exists a mean m on l∞(G) such that m(...
Amenability is a group theoretical property consisting in the existence of a finite measure defined ...
A new flavour of amenability for discrete semigroups is proposed that generalises group amenability ...
Abstract. We show that L0(φ,H) is extremely amenable for any diffused submeasure φ and any solvable ...
Abstract. We show that L0(φ, H) is extremely amenable for any diffused submeasure φ and any solvable...
We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring in...
This is an expostion of various aspects of amenability and paradoxical decompositions for groups, gr...
In this note, we discuss weak amenability of groups which is a general-ization of amenability in som...
We study in this paper ordered finite measure algebras from the point of view of Fraïssé and Ramsey ...
We start this thesis by introducing the theory of locally compact groups and their associated Haar m...
Amenability developed alongside modern analysis, as it is a central property lacking in a group used...
Extensive amenability is a property of group actions which has recently been used as a tool to prove...
Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures ...
Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures ...
Abstract. A discrete group G is called inner amenable if there exists a mean m on l∞(G) such that m(...
Abstract. A discrete group G is called inner amenable if there exists a mean m on l∞(G) such that m(...
Amenability is a group theoretical property consisting in the existence of a finite measure defined ...
A new flavour of amenability for discrete semigroups is proposed that generalises group amenability ...
Abstract. We show that L0(φ,H) is extremely amenable for any diffused submeasure φ and any solvable ...
Abstract. We show that L0(φ, H) is extremely amenable for any diffused submeasure φ and any solvable...
We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring in...
This is an expostion of various aspects of amenability and paradoxical decompositions for groups, gr...
In this note, we discuss weak amenability of groups which is a general-ization of amenability in som...
We study in this paper ordered finite measure algebras from the point of view of Fraïssé and Ramsey ...
We start this thesis by introducing the theory of locally compact groups and their associated Haar m...
Amenability developed alongside modern analysis, as it is a central property lacking in a group used...
Extensive amenability is a property of group actions which has recently been used as a tool to prove...