The Generalized Multifractional Brownian MotionAntoine Ayache; Jacques Levy Vehel · Statistical Inference for Stochastic Processes · 2000

Drap brownien fractionnaireAntoine Ayache; Stéphanie Leger; Monique Pontier · Potential Analysis · 2002

Wavelet construction of Generalized Multifractional processesAyache, Antoine; Jaffard, Stéphane; Taqqu, Murad · Revista Matemática Iberoamericana · 2007

Estimation of cyclic long‐memory parametersAlomari, Huda Mohammed; Ayache, Antoine; Fradon, Myriam; Olenko, Andriy · Scandinavian Journal of Statistics · 2019

$L^{p}$Properties for Gaussian Random SeriesAntoine Ayache and Nikolay Tzvetkov · Transactions of the American Mathematical Society · 2008

Hölder exponents of arbitrary functionsAyache, Antoine; Jaffard, Stéphane · Revista Matemática Iberoamericana · 2010

$L^p$ properties for Gaussian random seriesAyache, Antoine; Tzvetkov, Nikolay · Transactions of the American Mathematical Society · 2008

A new multifractional process with random exponentAyache, Antoine; Esser, Céline; Hamonier, Julien; Bianchi, Sergio · Risk and Decision Analysis · 2018