Mariusz Urba's Books

Asymptotic Counting in Conformal Dynamical Systems

By: Mark Pollicott,Mariusz Urba?ski

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Asymptotic Counting in Conformal Dynamical Systems

By: Mark Pollicott,Mariusz Urba?ski

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Page Count

139

Publisher

American Mathematical Society

Published Date

ISBN 10

1470465779

ISBN 13

9781470465773

Meromorphic Dynamics

Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions

By: Janina Kotus,Mariusz Urbański

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Meromorphic Dynamics

Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions

By: Janina Kotus,Mariusz Urbański

The first monograph to explore the beautiful and rich dynamics of elliptic functions, with an emphasis on ergodic aspects.

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Page Count

543

Publisher

Cambridge University Press

Published Date

ISBN 10

1009215973

ISBN 13

9781009215978

Conformal Fractals

Ergodic Theory Methods

By: Feliks Przytycki,Mariusz Urbański

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Conformal Fractals

Ergodic Theory Methods

By: Feliks Przytycki,Mariusz Urbański

A one-stop introduction to the methods of ergodic theory applied to holomorphic iteration that is ideal for graduate courses.

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Page Count

365

Publisher

Cambridge University Press

Published Date

ISBN 10

0521438004

ISBN 13

9780521438001

Open Conformal Systems and Perturbations of Transfer Operators

By: Mark Pollicott,Mariusz Urbański

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Open Conformal Systems and Perturbations of Transfer Operators

By: Mark Pollicott,Mariusz Urbański

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved. The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.

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Page Count

207

Publisher

Springer

Published Date

ISBN 10

3319721798

ISBN 13

9783319721798

Meromorphic Dynamics: Volume 1

Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures

By: Janina Kotus,Mariusz Urbański

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Meromorphic Dynamics: Volume 1

Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures

By: Janina Kotus,Mariusz Urbański

This text, the first of two volumes, provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students.

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Page Count

510

Publisher

Cambridge University Press

Published Date

ISBN 10

1009215906

ISBN 13

9781009215909

Managing Foreign Workers

A Multivariate Analysis

By: Mariusz Urbański

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Managing Foreign Workers

A Multivariate Analysis

By: Mariusz Urbański

This book serves as an essential guide to understanding and effectively managing multiculturalism and diversity in the workplace. The book discusses the growing trend of hiring foreign workers by companies and the need to appropriately manage a diverse workforce. It addresses the research gap in the existing literature, which lacks detailed quantitative analyses on the employment of immigrants in business entities operating in Poland. By conducting an extensive survey of enterprises in Poland, the United Kingdom and the United Arab Emirates, the book provides a comprehensive analysis of managing employees in a multicultural work environment. It offers practical recommendations for improving employee motivation and performance while also contributing to the theory of management and quality sciences. This book is a valuable resource for anyone interested in managing a diverse workforce, and it provides a deeper understanding of the complex issues involved in managing foreign workers in a multicultural work environment.

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Page Count

264

Publisher

Springer Nature

Published Date

ISBN 10

981993253X

ISBN 13

9789819932535

Coming Home to an (Un)familiar Country

The Strategies of Returning Migrants

By: Mariusz Dzięglewski

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Coming Home to an (Un)familiar Country

The Strategies of Returning Migrants

By: Mariusz Dzięglewski

This volume focuses on the process of return migration, from a holistic and policy-oriented perspective. Studies in return migration, which remains a vibrant field for academics, researchers, and policy-makers, have provided a large body of knowledge on particular issues, but generally fall along two lines: they are either broad macro analyses and models (especially economic ones) or narrow ethnographic views (anthropological, sociological, or psychological). This volume attempts to chart a course between these two approaches, combining returning migrants’ life trajectories, as seen by themselves, with analysis of the structural processes that have taken place in the last three decades in Europe and in Poland, as a new EU country. In analyzing the social and cultural changes reflected in the biographies of returning migrants, the author uses a framework based on an original synthesis of Alfred Schütz’s phenomenological approach, focusing on the returnees’ “life words,” with the social realism of Margaret Archer, focusing on the concerns and projects of individuals interacting with social and cultural structures.

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Page Count

391

Publisher

Springer Nature

Published Date

ISBN 10

3030642968

ISBN 13

9783030642969

Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order

By: Volker Mayer,Mariusz Urbański

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Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order

By: Volker Mayer,Mariusz Urbański

Volume 203, number 954 (third of 5 numbers).

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Page Count

120

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821846590

ISBN 13

9780821846599

Conformal Graph Directed Markov Systems on Carnot Groups

By: Vasileios Chousionis,Jeremy T. Tyson,Mariusz Urbanski

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Conformal Graph Directed Markov Systems on Carnot Groups

By: Vasileios Chousionis,Jeremy T. Tyson,Mariusz Urbanski

The authors develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, they develop the thermodynamic formalism and show that, under natural hypotheses, the limit set of an Carnot conformal GDMS has Hausdorff dimension given by Bowen's parameter. They illustrate their results for a variety of examples of both linear and nonlinear iterated function systems and graph directed Markov systems in such sub-Riemannian spaces. These include the Heisenberg continued fractions introduced by Lukyanenko and Vandehey as well as Kleinian and Schottky groups associated to the non-real classical rank one hyperbolic spaces.

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Page Count

153

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470442159

ISBN 13

9781470442156

Meromorphic Dynamics: Volume 2

Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions

By: Janina Kotus,Mariusz Urbański

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Meromorphic Dynamics: Volume 2

Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions

By: Janina Kotus,Mariusz Urbański

This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to topological dynamics of transcendental meromorphic functions, before progressing to elliptic functions, discussing at length their classical properties, measurable dynamics and fractal geometry. The authors then look in depth at compactly non-recurrent elliptic functions. Much of this material is appearing for the first time in book or paper form. Both senior and junior researchers working in ergodic theory and dynamical systems will appreciate what is sure to be an indispensable reference.

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Page Count

544

Publisher

Cambridge University Press

Published Date

ISBN 10

1009215965

ISBN 13

9781009215961

Book's by Mariusz Urba

Asymptotic Counting in Conformal Dynamical Systems

Asymptotic Counting in Conformal Dynamical Systems

Meromorphic Dynamics

Meromorphic Dynamics

Conformal Fractals

Conformal Fractals

Open Conformal Systems and Perturbations of Transfer Operators

Open Conformal Systems and Perturbations of Transfer Operators

Meromorphic Dynamics: Volume 1

Meromorphic Dynamics: Volume 1

Managing Foreign Workers

Managing Foreign Workers

Coming Home to an (Un)familiar Country

Coming Home to an (Un)familiar Country

Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order

Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order

Conformal Graph Directed Markov Systems on Carnot Groups

Conformal Graph Directed Markov Systems on Carnot Groups

Meromorphic Dynamics: Volume 2

Meromorphic Dynamics: Volume 2

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