output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2012 · math.DSShow all

9 papers · 2 filters

math.DS2012

Pseudo-Orbits, Stationary Measures and Metastability

Wael Bahsoun, Huyi Hu, Sandro Vaienti

We study random perturbations of multidimensional piecewise expanding maps. We characterize absolutely continuous stationary measures (acsm) of randomly perturbed dynamical systems…

math.DS2012★ 2 cited

Infinitesimal deformations of rational surface automorphisms

Julien Grivaux

If is a rational surface without nonzero holomorphic vector field and is an automorphism of , we study in several examples the Zariski tangent space of the local deforma…

math.DS2012

Eigenvalues of finite rank Bratteli-Vershik dynamical systems

Xavier Bressaud, Fabien Durand, Alejandro Maass

In this article we study conditions to be a continuous or a measurable eigenvalue of finite rank minimal Cantor systems, that is, systems given by an ordered Bratteli diagram with…

math.DS2012★ 3 cited

Hyperbolic components of McMullen maps

Weiyuan Qiu, Pascale Roesch, Xiaoguang Wang +1

In this article, we study the hyperbolic components of McMullen maps. We show that the boundaries of all hyperbolic components are Jordan curves. This settles a problem posed by De…

math.DS2012★ 23 cited

On a zero speed sensitive cellular automaton

Xavier Bressaud, Pierre Tisseur

Using an unusual, yet natural invariant measure we show that there exists a sensitive cellular automaton whose perturbations propagate at asymptotically null speed for almost all c…

math.DS2012★ 23 cited

Dynamics of piecewise contractions of the interval

Arnaldo Nogueira, Benito Pires

We study the asymptotical behaviour of iterates of piecewise contractive maps of the interval. It is known that Poincaré first return maps induced by some Cherry flows on transvers…