output
19932026
most citedExperimental boson sampling in arbitrary integrated photonic circuits

666 citations

Showing 2014 · math.DSShow all

6 papers · 2 filters

math.DS2014★ 1 cited

Geometric and measure-theoretical structures of maps with mostly contracting center

Dmitry Dolgopyat, Marcelo Viana, Jiagang Yang

We show that every diffeomorphism with mostly contracting center direction exhibits a geometric-combinatorial structure, which we call \emph{skeleton}, that determines the number,…

math.DS2014★ 9 cited

Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems

Lucas H. Backes, Alejandro Kocsard

We prove a rigidity theorem for dominated Hölder cocycles with values on diffeomorphism groups of a compact manifold over hyperbolic homeomorphisms. More precisely, we show that if…

math.DS2014★ 7 cited

The solvable length of groups of local diffeomorphisms

Javier Ribón

We are interested in the algebraic properties of groups of local biholomorphisms and their consequences. A natural question is whether the complexity of solvable groups is bounded…

math.DS2014★ 5 cited

Minimality of one invariant lamination for partially hyperbolic attractors

Felipe Nobili

We prove that at least one of the two invariant laminations of a strongly partially hyperbolic attractor with one-dimensional center bundle is minimal. This result extends those in…

math.DS2014★ 8 cited

Asymptotic -expansiveness rate of maps

David Burguet, Gang Liao, Jiagang Yang

We study the rate of convergence to zero of the tail entropy of maps. We give an upper bound of this rate in terms of the growth in of the derivative of order an…

math.DS2014

Cohomology-free diffeomorphisms on tori

Nathan M. Dos Santos

A smooth diffeomorphism f of a smooth closed orientable manifold M is cohomology-free diffeomorphism (c.f) if for each smooth function g on M there exists a smooth function h on M…