1,714 research outputs found
Entropy-expansiveness for partially hyperbolic diffeomorphisms
We show that diffeomorphisms with a dominated splitting of the form
, where is a nonhyperbolic central bundle that
splits in a dominated way into 1-dimensional subbundles, are entropy-expansive.
In particular, they have a principal symbolic extension and equilibrium states.Comment: 15 pages, 1 figur
Nickel Nanodots for Memory Devices
The formation of Nickel Nanodots (Ni-ND) were studied for the purpose of their potential use in memory devices. Ni-NDs were formed on SiO2 and integrated into capacitors. These structures were then tested to demonstrate charge storage characteristics
Exponential speed of mixing for skew-products with singularities
Let be the
endomorphism given by where is a positive real number. We prove that is
topologically mixing and if then is mixing with respect to Lebesgue
measure. Furthermore we prove that the speed of mixing is exponential.Comment: 23 pages, 3 figure
Robust entropy expansiveness implies generic domination
Let be a -diffeomorphism, , defined on a compact
boundaryless -dimensional manifold , , and let be the
homoclinic class associated to the hyperbolic periodic point . We prove that
if there exists a neighborhood of such that for every
the continuation of is entropy-expansive
then there is a -invariant dominated splitting for of the form
where is contracting, is
expanding and all are one dimensional and not hyperbolic.Comment: 24 page
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