A. Ayache

activity

20062020

most citedJoint continuity of the local times of fractional Brownian sheets

51 citations · 54 across the 10 of their papers we have counts for

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Showing 2019 · math.PRShow all

2 papers · 2 filters

math.PR2019

Lower bound for local oscillations of Hermite processes

Antoine Ayache

The most known example of a class of non-Gaussian stochastic processes which belongs to the homogenous Wiener chaos of an arbitrary order N > 1 are probably Hermite processes of ra…

math.PR2019★ 1 cited

Wavelet Series Representation and Geometric Properties of Harmonizable Fractional Stable Sheets

Antoine Ayache, Narn-Rueih Shieh, Yimin Xiao

Let $Z^{H} = {Z^{H} (t), t \in R^{N}}$ be a real-valued $N$ -parameter harmonizable fractional stable sheet with index $H = (H_{1}, \dots, H_{N}) \in (0, 1)^{N}$ . We establish a random wavele…