55,528 research outputs found
Creation of blenders in the conservative setting
In this work we prove that each C^r conservative diffeomorphism with a pair
of hyperbolic periodic points of co-index one can be C^1-approximated by C^r
conservative diffeomorphisms having a blender.Comment: 4 figures, 16 figure
A spatial stochastic model for rumor transmission
We consider an interacting particle system representing the spread of a rumor
by agents on the -dimensional integer lattice. Each agent may be in any of
the three states belonging to the set {0,1,2}. Here 0 stands for ignorants, 1
for spreaders and 2 for stiflers. A spreader tells the rumor to any of its
(nearest) ignorant neighbors at rate \lambda. At rate \alpha a spreader becomes
a stifler due to the action of other (nearest neighbor) spreaders. Finally,
spreaders and stiflers forget the rumor at rate one. We study sufficient
conditions under which the rumor either becomes extinct or survives with
positive probability
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