Mario Roy

Associate Professor


   York Hall C231

Given my responsibilities as Chair of Glendon's Mathematics Department and as Chair of York University's Senate, I teach the following courses in 2022-23:

Fall 2022  GL/MATH 1670 6.00 Fundamentals of Mathematics    mondays, tuesdays and thursdays 19h00-21h00.

Winter 2023     GL/MATH 1950 3.00 Mathematics of Investment I    tuesdays 18h30-21h30.

Winter 2023     GL/MATH 2660 3.00 Linear Algebra II                          tuesdays and thursdays 9h00-10h30.

Winter 2023     GS/MATH 6XXX 3.00 Countable-State Thermodynamic Formalism & Its Application to CGDMSs (Fields Academy Shared Graduate Course; online) tuesdays and thursdays 13h00-14h30.

Dynamical Systems (especially Symbolic Dynamics, Iterated Functions Systems and Graph Directed Markov Systems)
Ergodic Theory
Thermodynamic Formalism
Fractal Geometry

University of Goettingen, Advisor: Manfred Denker
Laval University, Advisor: Thomas J. Ransford


1. Noninvertible Dynamical Systems - Volume 1: Ergodic Theory - Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding MapsDe Gruyter Expositions in Mathematics 69/1, 2021, with Sara Munday (John Cabot University) and Mariusz Urbanski (University of North Texas).

2. Noninvertible Dynamical Systems - Volume 2: Finer Thermodynamic Formalism, Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry, De Gruyter Expositions in Mathematics 69/2, 2022, with Sara Munday (John Cabot University) and Mariusz Urbanski (University of North Texas).

To appear:

3. Noninvertible Dynamical Systems - Volume 3: Analytic Endomorphisms of the Riemann Sphere, De Gruyter Expositions in Mathematics 69/3, 2023, with Sara Munday (John Cabot University) and Mariusz Urbanski (University of North Texas).

Journal Articles

Most recent

1. The Hausdorff dimension spectrum of conformal graph directed Markov systems and applications to nearest integer continued fractions (with Andrei Ghenciu, University of Wisconsin, and Sara Munday, John Cabot University), Journal of Number Theory, 175 (2017), 223–249.

2. Conformal graph directed Markov systems: beyond finite irreducibility (with Andrei Ghenciu, University of Wisconsin, andDan Mauldin, University of North Texas), Journal of Fractal Geometry, 3 (3) (2016), 217–243.

3. Bowen’s formula for shift-generated finite conformal recursive constructions (with Andrei Ghenciu, University of Wisconsin), Real Analysis Exchange, 40 (1) (2015), 99–112.

4. Gibbs states for non-irreducible countable Markov shifts (with Andrei Ghenciu, University of Wisconsin), Fundamenta Mathematicae, 221 (3) (2013), 231–265.

5. A new variation of Bowen’s formula for graph directed Markov systems, Discrete and Continuous Dynamical Systems — Series A, 32 (7) (2012), 2533–2551.

My Erdòs number is 2.


Deutsch (German)