Regularity of Gaussian Fields from Kernel Conditions via Wavelets
Year: 2026
Type: conference-abstract
Abstract: In recent years, the study of the (ir)regularity of various stochastic processes has attracted the attention of several authors. In this work, we aim to study a large class of Gaussian fields defined via a stochastic integral. More precisely, we seek to obtain a general strategy to deduce sharp regularity and irregularity estimates using wavelet methods. This approach should allow us to recover and compare regularity results appearing in the literature within a unified framework. Key ideas will be presented, along with some preliminary results.
Source: ORBi (University of Liège)
Author: Devos, Thomas
Institution: University of Liège
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7148220678
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