23 citations · 38 across the 10 of their papers we have counts for
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Fractional stable random fields on the Sierpiński gasket
Fabrice Baudoin, Céline Lacaux
We define and study fractional stable random fields on the Sierpiński gasket. Such fields are formally defined as , where is the Laplace operator on the gask…
Fractional Gaussian fields on the Sierpinski gasket and related fractals
Fabrice Baudoin, Céline Lacaux
We define and study a fractional Gaussian field with Hurst parameter on the Sierpiński gasket equipped with its Hausdorff measure . It appears as a solution, in a we…
Time-changed extremal process as a random sup measure
Céline Lacaux, Gennady Samorodnitsky
A functional limit theorem for the partial maxima of a long memory stable sequence produces a limiting process that can be described as a -power time change in the classical Fré…
Hölder regularity for operator scaling stable random fields
Hermine Biermé, Céline Lacaux
We investigate the sample paths regularity of operator scaling alpha-stable random fields. Such fields were introduced as anisotropic generalizations of self-similar fields and sat…