Seminar series
Date
Mon, 12 Feb 2024
15:30
15:30
Location
Lecture room 5
Speaker
Dr Céline Esser
Organisation
Mathematics Department, Liège University
This presentation focuses on the study of the regulartiy of random wavelet series. We first study their belonging to certain functional spaces and we compare these results with long-established results related to random Fourier series. Next, we show how the study of random wavelet series leads to precise pointwise regularity properties of processes like fractional Brownian motion. Additionally, we explore how these series helps create Gaussian processes with random Hölder exponents.