Add to ORKGAbstract. The notion of a randomization of a first order structure was introduced by Keisler in the paper Randomizations of Models, Advances in Math. 1999. The idea was to form a new structure whose elements are random elements of the original first order structure. In this paper we treat randomizations as continuous structures in the sense of Ben Yaacov and Usvyatsov. In this setting, the earlier results show that the randomization of a complete first order theory is a complete theory in continuous logic that admits elimination of quantifiers and has a natural set of axioms. We show that the randomization operation preserves the properties of being omega-categorical, omega-stable, and stable. 1
AbstractIn this paper, we investigate refined definition of random sequences. Classical definitions ...
In this paper, we present an axiomatic formulation of Discrete Random Sets, and extend Choquet's uni...
We show that if a complete theory T in a countable language admits a universal Skolem sort, then its...
Abstract. The notion of a randomization of a first order structure was introduced by Keisler in the ...
International audienceThe notion of a randomization of a first order structure was introduced by Kei...
AbstractA randomization of a first order structure M is a new structure with certain closure propert...
AbstractContinuous first-order logic is used to apply model-theoretic analysis to analytic structure...
This thesis presents a systematic study of the model theory of probability algebras, random variabl...
We study theories of spaces of random variables: first, we consider random variables with values in ...
International audienceWe study theories of spaces of random variables: first, we consider random var...
We study approximate $\aleph_0$-categoricity of theories of beautiful pairs of randomizations, in th...
Randomizations are continuous structures consisting of random variables with values on a given famil...
We study automorphism groups of randomizations of separable structures, with focus on the $\aleph_0$...
In this paper we give an introduction to the connection between complexity theory and the study of r...
For many combinatorial objects we can associate a natural probability distribution on the members of...
AbstractIn this paper, we investigate refined definition of random sequences. Classical definitions ...
In this paper, we present an axiomatic formulation of Discrete Random Sets, and extend Choquet's uni...
We show that if a complete theory T in a countable language admits a universal Skolem sort, then its...
Abstract. The notion of a randomization of a first order structure was introduced by Keisler in the ...
International audienceThe notion of a randomization of a first order structure was introduced by Kei...
AbstractA randomization of a first order structure M is a new structure with certain closure propert...
AbstractContinuous first-order logic is used to apply model-theoretic analysis to analytic structure...
This thesis presents a systematic study of the model theory of probability algebras, random variabl...
We study theories of spaces of random variables: first, we consider random variables with values in ...
International audienceWe study theories of spaces of random variables: first, we consider random var...
We study approximate $\aleph_0$-categoricity of theories of beautiful pairs of randomizations, in th...
Randomizations are continuous structures consisting of random variables with values on a given famil...
We study automorphism groups of randomizations of separable structures, with focus on the $\aleph_0$...
In this paper we give an introduction to the connection between complexity theory and the study of r...
For many combinatorial objects we can associate a natural probability distribution on the members of...
AbstractIn this paper, we investigate refined definition of random sequences. Classical definitions ...
In this paper, we present an axiomatic formulation of Discrete Random Sets, and extend Choquet's uni...
We show that if a complete theory T in a countable language admits a universal Skolem sort, then its...