Zobrazeno 1 - 10
of 422
pro vyhledávání: '"BURTON, PETER"'
Autor:
Burton, Peter, Panangaden, Jane
Furstenberg's $\times 2 \times 3$ conjecture has remained a central open problem in ergodic theory for over $50$ years, and it serves as the basic test case for a broad class of rigidity phenomena which are believed to hold in number-theoretic dynami
Externí odkaz:
http://arxiv.org/abs/2410.22701
Autor:
Burton, Peter, Eagle, Christopher J., Fox, Alec, Goldbring, Isaac, Harrison-Trainor, Matthew, McNicholl, Timothy H., Melnikov, Alexander, Thewmorakot, Teerawat
We establish a computable version of Gelfand Duality. Under this computable duality, computably compact presentations of metrizable spaces uniformly effectively correspond to computable presentations of unital commutative $C^*$ algebras.
Externí odkaz:
http://arxiv.org/abs/2402.16672
We provide a quantitative formulation of the equivalence between hyperlinearity and soficity for amenable groups, effectively showing how every hyperlinear approximation to such a group is simulated by a suitable sofic approximation. The proof is pro
Externí odkaz:
http://arxiv.org/abs/2311.09202
Autor:
Burton, Peter
This article studies a structural aspect of measure-preserving actions of products of countable discrete groups, involving a so-called 'synergodic decomposition' in terms of the ergodic components of the actions of the two factor groups. We show that
Externí odkaz:
http://arxiv.org/abs/2311.02540
Autor:
Hallam, Jade1 (AUTHOR) jade.hallam@research.uwa.edu.au, Burton, Peter2 (AUTHOR) peterburton@iinet.net.au, Sanders, Katherine1 (AUTHOR) kathy.sanders@uwa.edu.au
Publikováno v:
Journal of Clinical Medicine. Jul2024, Vol. 13 Issue 14, p4156. 14p.
Autor:
Burton, Peter
We provide a quantitative formulation of the equivalence between hyperlinearity and soficity for amenable groups, showing that every hyperlinear approximation to such a group is essentially produced from a sofic approximation. This translates to a qu
Externí odkaz:
http://arxiv.org/abs/2110.03076
Autor:
Bowen, Lewis, Burton, Peter
We introduce the notion of soficity for locally compact groups and list a number of open problems.
Comment: Comments welcome! The new version corrects a few minor errors
Comment: Comments welcome! The new version corrects a few minor errors
Externí odkaz:
http://arxiv.org/abs/2106.09118
Autor:
Burton, Peter
In a recent article a breakthrough was made in quantum computer science which established the existence of a phenomenon commonly known as $\mathsf{MIP}^\ast = \mathsf{RE}$. We show that the existence of this phenomenon implies that the supremum of th
Externí odkaz:
http://arxiv.org/abs/2106.04644
Autor:
Burton, Peter
We introduce a notion of strategies based on averaging for nonlocal games in quantum information theory. These so-called statistical strategies come in a commuting type and a more specific spatial type, which are respectively special cases of the qua
Externí odkaz:
http://arxiv.org/abs/2103.10995