output
19932026
most citedExperimental boson sampling in arbitrary integrated photonic circuits

666 citations

Showing 2012 · math.DSShow all

9 papers · 2 filters

math.DS2012

Attractors and repellers near generic elliptic points of reversible maps

Sergey Gonchenko, Jeroen Lamb, Isabel Rios +1

We show that resonance zones near an elliptic periodic point of a reversible map must, generically, contain asymptotically stable and asymptotically unstable periodic orbits, along…

math.DS2012★ 1 cited

A characterization of annularity for area-preserving toral homeomorphisms

Nancy Guelman, Andres Koropecki, Fabio Armando Tal

We prove that if an area-preserving homeomorphism of the torus in the homotopy class of the identity has a rotation set which is a nondegenerate vertical segment containing the ori…

math.DS2012★ 26 cited

Symbolic blender-horseshoes and applications

Pablo G. Barrientos, Yuri Ki, Artem Raibekas

We study partially-hyperbolic skew-product maps over the Bernoulli shift with Hölder dependence on the base points. In the case of contracting fiber maps, symbolic blender-horsesho…

math.DS2012

On cohomological -(in)stability

Alejandro Kocsard

After Katok, a homeomorphism is said to be cohomologically -stable when its space of real -coboundaries is closed in . In this short note we comp…

math.DS2012★ 8 cited

Fixed points of nilpotent actions on

Javier Ribón

We prove that a nilpotent subgroup of orientation preserving diffeomorphisms of has a finite orbit of cardinality at most two. We also prove that a finite…

math.DS2012★ 12 cited

Bounded and unbounded behavior for area-preserving rational pseudo-rotations

Andres Koropecki, Fabio Armando Tal

A rational pseudo-rotation of the torus is a homeomorphism homotopic to the identity with a rotation set consisting of a single vector of rational coordinates. We give a cl…