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19932026
most citedExperimental boson sampling in arbitrary integrated photonic circuits

666 citations

Showing 2013 · math.DSShow all

6 papers · 2 filters

math.DS2013

Generic Continuity of Metric Entropy for Volume-preserving Diffeomorphisms

Jiagang Yang, Yunhua Zhou

Let be a compact manifold and be the set of volume-preserving diffeomorphisms of . We prove that there is a residual subset $\mathcal {R}\subset \…

math.DS2013★ 9 cited

Expanding actions: minimality and ergodicity

Pablo G. Barrientos, Abbas Fakhari, Dominique Malicet +1

We prove that every expanding minimal semigroup action of diffeomorphisms of a compact manifold (resp. conformal) is robustly minimal (resp. ergodic with respect to…

math.DS2013★ 2 cited

Fixed points for nilpotent actions on the plane and the Cartwright-Littlewood theorem

S. Firmo, J. Ribón, J. Velasco

The goal of this paper is proving the existence and then localizing global fixed points for nilpotent groups generated by homeomorphisms of the plane satisfying a certain Lipschitz…

math.DS2013★ 8 cited

Density of fiberwise orbits in minimal iterated function systems on the circle

Pablo G. Barrientos, Abbas Fakhari, Ali Sarizadeh

We study the minimality of almost every orbital branch of minimal iterated function systems (IFSs). We prove that this kind of minimality holds for forward and backward minimal IFS…

math.DS2013★ 24 cited

Rigidity of smooth critical circle maps

Pablo Guarino, Welington de Melo

We prove that any two critical circle maps with the same irrational rotation number of bounded type and the same odd criticality are conjugate to each other by a ci…

math.DS2013★ 10 cited

Dynamics of iterated function systems on the circle close to rotations

Pablo G. Barrientos, Artem Raibekas

We study the dynamics of iteration function systems generated by a pair of circle diffeomorphisms close to rotations in the -topology. We characterize the obstru…