94 citations · 180 across the 11 of their papers we have counts for
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math.DS2012★ 53 cited
Minimal polynomial dynamics on the set of 3-adic integers
Fabien Durand, Frédéric Paccaut
In this paper are characterized the polynomials, in terms of their coefficients, that have all their orbits dense in the set of 3-adic integers.
math.DS2004★ 94 cited
The Lorenz attractor is mixing
Stefano Luzzatto, Ian Melbourne, Frederic Paccaut
We study a class of geometric Lorenz flows, introduced independently by Afraimovic, Bykov & Sil'nikov and by Guckenheimer & Williams, and give a verifiable condition for such flows…