16 citations · 61 across the 26 of their papers we have counts for
6 papers · 1 filter
Hitting Probabilities and the Ekstr{ö}m-Persson conjecture
Esa Järvenpää, Markus Myllyoja, Stéphane Seuret
We consider the Ekst\''om-Persson conjecture concerning the value of the Hausdorff dimension of random covering sets formed by balls with radii and centres…
Sojourn time dimensions of fractional Brownian motion
Ivan Nourdin, Giovanni Peccati, Stéphane Seuret
We describe the size of the sets of sojourn times associated with a fractional Brownian motion in terms of various large scale dimensions.
On sojourn of Brownian motion inside moving boundaries
Stephane Seuret, Xiaochuan Yang
We investigate the large scale structure of certain sojourn sets of one dimensional Brownian motion within two-sided moving boundaries. The macroscopic Hausdorff dimension, upper m…
A pure jump Markov process with a random singularity spectrum
Julien Barral, Nicolas Fournier, Stephane Jaffard +1
We construct a non-decreasing pure jump Markov process, whose jump measure heavily depends on the values taken by the process. We determine the singularity spectrum of this process…
Renewal of singularity sets of statistically self-similar measures
Julien Barral, Stephane Seuret
This paper investigates new properties concerning the multifractal structure of a class of statistically self-similar measures. These measures include the well-known Mandelbrot mul…
Inside singularity sets of random Gibbs measures
Julien Barral, Stephane Seuret
We evaluate the scale at which the multifractal structure of some random Gibbs measures becomes discernible. The value of this scale is obtained through what we call the growth spe…