activity
20002023
most citedThe absolutely continuous spectrum of the almost Mathieu operator

60 citations · 200 across the 31 of their papers we have counts for

collaborators
Showing 2015Show all

2 papers · 1 filter

math.DS2015★ 4 cited

Some monoids of Pisot matrices

Artur Avila, Vincent Delecroix

We show that several monoids of non-negative integer matrices enjoy a Pisot property: each matrix in that monoid has only one eigenvalue with absolute value larger than one. These…

math.DS2015

Lebesgue measure of Feigenbaum Julia sets

Artur Avila, Mikhail Lyubich

We construct Feigenbaum quadratic polynomials whose Julia sets have positive Lebesgue measure. They provide first examples of rational maps for which the hyperbolic dimension is di…