Doris Bohnet

activity

20122023

most citedPartially hyperbolic diffeomorphisms with uniformly center foliation: the quotient dynamics

8 citations · 18 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.DS2017

Fractal curves from prime trigonometric series

Dimitris Vartziotis, Doris Bohnet

We study the convergence of the parameter family of series $V_{α, β} (t) = p \sum p^{- α} exp (2 π i p^{β} t), α, β \in R_{> 0}, t \in [0, 1)$ defined over prime numbers $p$ , a…

math.DS2013★ 2 cited

Codimension one partially hyperbolic diffeomorphisms with a uniformly compact center foliation

Doris Bohnet

We consider a partially hyperbolic C1-diffeomorphism f on a smooth compact manifold M with a uniformly compact f-invariant center foliation. We show that if the unstable bundle is…

math.DS2012★ 8 cited

Partially hyperbolic diffeomorphisms with uniformly center foliation: the quotient dynamics

Doris Bohnet, Christian Bonatti

We show that a partially hyperbolic $C^{1}$ -diffeomorphism $f : M \to M$ with a uniformly compact $f$ -invariant center foliation $F^{c}$ is dynamically coherent. Further, the induced…