About Me

MU
 

My name is Dr. Mariusz Urbański, and I am a Professor of Mathematics at the University of North Texas in Denton.
I joined the UNT faculty in 1991.

I received my Ph.D. from Nicolaus Copernicus University (Uniwersytet Mikołaja Kopernika) in Toruń, Poland in 1985.
In 1991, I received my Habilitation from Mathematical Institute of Polish Academy of Science (Polska Akademia Nauk),
in Warsaw.

My areas of research are dynamical systems, ergodic theory, fractal sets, conformal dynamical systems, holomorphic dynamical systems, iteration of transcendental functions, iterated function systems, thermodynamic formalism, gas lattices, statistical physics, potential theory, number theory, and topology.
 
 
 
 
Sierpiński Medal

In 2023 I have been awarded the Sierpiński Medal
from the University of Warsaw and the Polish Mathematical Society.
My lecture delivered at the Department of Mathematics of the University of Warsaw on this occasion in May 2023:
Ruelle’s Operator and Conformal Measures with Applications in Fractal Geometry and Number Theory

 
 

LATEST BOOKS

1. maths-booksNon-Invertible Dynamical Systems, Volume 1:
Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps

Mariusz Urbański, Mario Roy, Sara Munday

De Gruyter Expositions in Mathematics (2021)
Available for purchase on degruyter.com

 

2. maths-booksNon-Invertible 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 Maps

Mariusz Urbański, Mario Roy, Sara Munday

De Gruyter Expositions in Mathematics (Spring 2022)
Available for purchase on degruyter.com and amazon.com

 

3. vol3Non-Invertible Dynamical Systems, Volume 3:
Analytic Endomorphisms of the Riemann Sphere

Mariusz Urbański, Mario Roy, Sara Munday

De Gruyter Expositions in Mathematics (2023)

Available for purchase on degruyter.com and Series Vol. 1-3 on amazon.com