Jonathan Hermon

I am a research associate in the Statistical Laboratory, part of the DPMMS at the University of Cambridge.

I received my PhD from UC Berkeley, where I was mentored by Allan Sly. Before coming to Cambridge I was a postdoc at the Faculty of Mathematics at the Weizmann institute of science.

I was an intern in the Microsoft Research Theory Group in the summers of 2014 and 2015, under the mentorship of Yuval Peres.




Research interests


  • My research is in discrete probability theory with a special emphasis on problems related to the theory of mixing times of Markov chains and the cutoff phenomenon. I am also working on particle systems and percolation. Research Statement, C.V.
  • Papers


    Publications [arXiv]

    Preprints

    • 19. The interchange process on high-dimensional products.
      With Justin Salez. (2019). Preprint at arXiv.
    • 20. Supercritical percolation on nonamenable graphs: Isoperimetry, analyticity, and exponential decay of the cluster size distribution.
      With Tom Hutchcroft. (2019). Preprint at arXiv.
    • 21. Entropy dissipation estimates for inhomogeneous zero-range processes.
      With Justin Salez. (2019). Preprint at arXiv.
    • 22. A comparison principle for random walk on dynamical percolation.
      With Perla Sousi. (2019). Preprint at arXiv.
    • 23. Modified log-Sobolev inequalities for strong-Rayleigh measures.
      With Justin Salez. (2019). Preprint at arXiv.
    • 24. Cutoff for Mixing Times on Random Abelian Cayley Graphs.
      With Sam Thomas. (2018). Preprint at arXiv.
    • 25. No percolation at criticality on certain groups of intermediate growth.
      With Tom Hutchcroft. (2018). Preprint at arXiv.
    • 26. The exclusion process mixes (almost) faster than independent particles.
      With Richard Pymar. Preprint at arXiv.
    • 27. A spectral characterization for concentration of the cover time.
      Preprint at arXiv.
    • 28. The social network model on infinite graphs.
      With Ben Morris, Chuan Qin and Allan Sly. Preprint at arXiv.

    In preparation (draft available upon request)

  • Log-Sobolev inequalities for generalized exclusion processes revisited.
    With Justin Salez.
  • Transitive graphs with proportional mixing and hitting times scale to the unit-circle.
    With Itai Benjamini, Romain Tessera and Matthew Tointon.

    Teaching


  • Lent 2019: Mixing times of Markov chains (Part III)
  • I have served as a GSI (Graduate Student Instructor) for the following courses at Berkeley.
  • Fall 2016: Stat 150, Stochastic Processes.
  • Spring 2015: Stat 150, Stochastic Processes.
  • Spring 2014: Stat 150, Stochastic Processes.
  • Spring 2013: Stat 134, Introduction to Probability.
  • Spring 2012: Stat 134, Introduction to Probability.
  • Contact


    Centre for Mathematical Sciences
    Wilberforce Road
    Cambridge
    CB3 0WB
    Office: D2.01
    Email: jh2129(at)statslab.cam.ac.uk