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
 
 
 

4. Meromorphic Dynamics, Volume 1:
Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures
Janina Kotus, Mariusz Urbański

Cambridge University Press’ series “New Mathematical Monographs” (2023)

Available for purchase on amazon.com
 
 
 
 

5. Meromorphic Dynamics, Volume 2:
Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions
Janina Kotus, Mariusz Urbański

Cambridge University Press’ series “New Mathematical Monographs” (2023)

Available for purchase on amazon.com
 
 
 
 
 

6. Apollonian_TriangleAsymptotic Counting in Conformal Dynamical Systems

Mark Pollicott and Mariusz Urbański

Memoirs of AMS, Volume 271, Number 1327 (2021), 1-155

 

7. maths-booksConformal Graph Directed Markov Systems on Carnot Groups

Vasilis Chousionis, Jeremy T. Tyson, and Mariusz Urbański.

Memoirs of AMS, Volume 266, Number 1291 (2020), 1-155

 
 
 
 
 

8. maths-booksThe Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups

Jason Atnip, Hiroki Sumi, Mariusz Urbański

Preprint 2020; PDF available for download: The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups

To appear in Memoirs of AMS

 

9. bookOpen Conformal Systems and Perturbations of Transfer Operators

Mark Pollicott and Mariusz Urbański
Lecture Notes in Mathematics 2206, Springer 2018. Print

Available for purchase on Amazon.com and Barnes&Noble
 
 
 
 

10.  Gromov HyperbolicGeometry and Dynamics in Gromov Hyperbolic Metric Spaces with an Emphasis on Non-Proper Settings

Tushar Das, David Simmons, and Mariusz Urbański
AMS Mathematical Surveys and Monographs Series, Vol 218. 2017. Print

Available for purchase on Amazon.com and Barnes&Noble

 
 

11. DistanceExp_book_lg Distance Expanding Random Mappings, Thermodynamical Formalism, Gibbs Measures and Fractal Geometry

Volker Mayer, Bartlomiej Skorulski, and Mariusz Urbański
Distance Expanding Random Mappings, Thermodynamical Formalism, Gibbs Measures and Fractal Geometry. Springer Berlin Heidelberg, 2011. Print.  Lecture Notes in Mathematics. 2036.

Available for purchase on Amazon.com and Barnes&Noble

 
 

12. Memoirs_lgThermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order

Volker Mayer and Mariusz Urbański
Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order. American Mathematical Society, 2010. Print. Memoirs of the American Mathematical Society. Vol 203 No 954

Available for purchase on Amazon.com

 

13. book1Conformal Fractals: Ergodic Theory Methods

Feliks Przytycki and Mariusz Urbański
Conformal Fractals: Ergodic Theory Methods. Cambridge: Cambridge University Press, 2010. Print. London Mathematical Society Lecture Note Series. 371.

Available for purchase on Amazon.com

 
 

14. book2_smGraph Directed Markov Systems: Geometry and Dynamics of Limit Sets

R. Daniel Mauldin and Mariusz Urbański
Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets. Cambridge: Cambridge University Press, 2003. Print. Cambridge Tracts in Mathematics. 148.

Available for purchase on Amazon.com and Barnes&Noble