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20022013
most citedOptomechanical entanglement between a movable mirror and a cavity field

1.2k citations

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15 papers · 1 filter

math.LO2013

Constructive Zermelo-Fraenkel set theory and the limited principle of omniscience

Michael Rathjen

In recent years the question of whether adding the limited principle of omniscience, LPO, to constructive Zermelo-Fraenkel set theory, CZF, increases its strength has arisen severa…

math.LO2013

The axiomatic power of Kolmogorov complexity

Laurent Bienvenu, Andrei Romashchenko, Alexander Shen +2

The famous Gödel incompleteness theorem states that for every consistent sufficiently rich formal theory T there exist true statements that are unprovable in T. Such statements wo…

math.LO20121 cited

On compactifications and the topological dynamics of definable groups

Jakub Gismatullin, Davide Penazzi, Anand Pillay

We discuss definable compactifications and topological dynamics. For G a group definable in some structure M, we define notions of "definable" compactification of G and "definable"…

math.LO2012

One-basedness and reductions of elliptic curves over real closed fields

Davide Penazzi

Building on the positive solution of Pillay's conjecture we present a notion of "intrinsic" reduction for elliptic curves over a real closed field K. We compare such notion with th…

math.LO20123 cited

On the canonical base property

Ehud Hrushovski, Daniel Palacin, Anand Pillay

We give an example of a finite rank, in fact aleph-1 categorical theory where the CBP (canonical base property) does not hold. We include a "group-like" example. We also prove, in…

math.LO20121 cited

Borel equivalence relations and Lascar strong types

Krzysztof Krupinski, Anand Pillay, Slawomir Solecki

The space of Lascar strong types, on some sort and relative to a given first order theory T, is in general not a compact Hausdorff space. This paper has at least three aims. First…