Published papers

  • Localized Fourier Analysis for Graph Signal Processing, avec F. Navarro et B. Olivier, to be published in Applied and Computational Harmonic Analysis
  • Data-driven Thresholding in Denoising with Spectral Graph Wavelet Transform, with F. Navarro and B. Olivier, Journal of Computational and Applied Mathematics (2021)
  • Recurrence of multidimensional Persistent Random Walks: Fourier ans Series criteria, with P. Cénac, Y. Offret, Arnaud Rousselle, Bernoulli (2020)
  • Persistent random walks II : scaling limits, with P. Cénac, A. Le Ny, Y. Offret, Journal of Theoretical Probability (2018)
  • Random walks on graphs induced by aperiodic tilings, in Markov Processes & Related Fields 23, No 1, 103-124 (2017)
  • Persistent random walks I : recurrence versus transience, with Peggy Cénac, Arnaud Le Ny and Yoann Offret, Journal of Theoretical Probability (2016)
  • Marche aléatoire sur un di-graphe et frontière de Martin, C. R. Math. Acad. Sci. Paris 350 (2012), no 1-2, 87-90
  • Random walk on a directed graph and Martin boundary, arXiv (2012)

Preprints

  • The type problem for a class of inhomogeneous random walks : a series criterion by a probabilistic argument

Software

  • R package: Gasper, with F. Navarro and B. Olivier

In progress

  • Generalized fluctuating Brownian functional: irreducibility, scaling limit and winding number, with Michel Benaïm and Yoann Offret

Ph.D. report

  • Graphs and Random Walks, defended on July the 6th, 2012