Research

My research is in probability theory, especially percolation, random walks, cover and meeting times, Gaussian free fields, and loop soups.

Papers and preprints

Percolation

Random walks and dynamical percolation

  • Meeting times and cover times in dynamical percolation
    In progress.
    Comparison principles for vertex-transitive graphs and conditions for tightness of Matthews-type bounds in dynamical settings.

Trees and word percolation

  • Percolation of words
    With Ritvik Radhakrishnan.
    Generalises the Kesten–Benjamini problem for locally finite trees.
    [PDF] · [Progress notes]

Research interests

  • Percolation and random graph processes
  • Random walks, meeting times, and cover times
  • Gaussian free field and loop-soup representations
  • Brownian loop soups and related continuum objects