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Article Dans Une Revue Nonlinearity Année : 2021

Pre-threshold fractional susceptibility functions at Misiurewicz parameters

Résumé

We show that the response, frozen and semifreddo fractional susceptibility functions of certain real-analytic unimodal families, at Misiurewicz parameters and for fractional differentiation index $0\le\eta<1/2$, are holomorphic on a disk of radius greater than one. This is a step towards solving a conjecture of Baladi and Smania, in the case of the aforementioned susceptibility functions.

Dates et versions

hal-03188120 , version 1 (01-04-2021)

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Julien Sedro. Pre-threshold fractional susceptibility functions at Misiurewicz parameters. Nonlinearity, 2021, ⟨10.1088/1361-6544/ac20a3⟩. ⟨hal-03188120⟩
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