M. Zinsmeister

activity

20072026

most citedIntegral means spectrum of whole-plane SLE

7 citations · 19 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.DS2017★ 1 cited

On the derivative of the Hausdorff Dimension of the Julia sets for z^2+c

Ludwik Jaksztas, Michel Zinsmeister

Let $d (c)$ denote the Hausdorff dimension of the Julia set $J_{c}$ of the polynomial $f_{c} (z) = z^{2} + c$ . We will investigate behavior of the function $d (c)$ when real parameter $c$ tends…

math.DS2012

On the Hausdorff dimension of Julia sets of some real polynomials

Genadi Levin, Michel Zinsmeister

We show that the supremum for $c$ real of the Hausdorff dimension of the Julia set of the polynomial $z \mapsto z^{d} + c$ ( $d$ is an even natural number) is greater than $2 d / (d + 1)$ .

math.DS2010

Variations of Hausdorff Dimension in the Exponential Family

Guillaume Havard, Mariusz Urbanski, Michel Zinsmeister

In this paper we deal with the following family of exponential maps $(f_{λ} : z \mapsto λ (e^{z} - 1))_{λ \in [1, + \infty)}$ . Denoting $d (λ)$ the hyperbolic dimension of $f_{λ}$ . It is known tha…