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We give a model theoretic proof that if there is a counterexample to Vaught’s conjecture there is a counterexample such that every model of cardinality ℵ1 is maximal (strengthening a result of ...
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。
Abstract: It was noticed by Harel in [Har86] that "one can define $\Sigma_1^1$-complete versions of the well-known Post Correspondence Problem". We first give a complete proof of this result, showing ...
In the present paper we study forward Quantum Markov Chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a Cayley tree. By me...
Three remarks on a question of Aczél.

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