Giulio Tiozzo

Associate Professor of Mathematics -- University of Toronto

My field of research is dynamical systems and ergodic theory, with applications to
complex analysis, probability, and geometric group theory.

Public lecture: Patterns of Randomness
April 21, 2023, 3PM [Poster] [Video]

A Week at Infinity: [Lecture notes]

Andre'-Aisenstadt lecture: Entropy along the Mandelbrot set
October 15, 2021, 3.30 PM [slides] [Video]

Public lecture: Dynamical Roots
March 31, 2021, 4PM [Poster] [Video]

Slides for the MSRI workshop, Fall 2020:
Random walks on weakly hyperbolic groups - Lecture 1
Random walks on weakly hyperbolic groups - Lecture 2
Random walks on weakly hyperbolic groups - Lecture 3

Some of my recent preprints:
  • Equidistribution of hyperbolic groups in homogeneous spaces, with I. Gekhtman, S. Taylor
  • The Poisson boundary of hyperbolic groups without moment conditions, with K. Chawla, B. Forghani, J. Frisch
  • Master teapots and entropy algorithms for the Mandelbrot set, with K. Lindsey, C. Wu. See also the Gallery.

  • Fall 2021 classes:
  • Topics in Ergodic Theory: Introduction to Random Walks on Groups

  • UofT Dynamics Seminar

    Thurston's master teapot
    Bach and (hyperbolic) Brownian motion
    My profile by Universities Canada. My research is partially supported by NSERC and the Sloan Foundation.










    Lecture Notes









    St George campus: BA 6206
    Scarborough campus: IC 495

    e-mail: tiozzo AT math DOT utoronto DOT ca

    "Quando il tetro dromedario giunse dietro al tetraedro alzò gli occhi e disse: « Diamine! Son davanti a una piramide! »" (T. S.)