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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, meromorphic maps and rational functions. 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.

Mathematics. --- Dynamics. --- Ergodic theory. --- Functional analysis. --- Functions of complex variables. --- Measure theory. --- Operator theory. --- Dynamical Systems and Ergodic Theory. --- Functional Analysis. --- Functions of a Complex Variable. --- Operator Theory. --- Measure and Integration. --- Functional analysis --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Complex variables --- Elliptic functions --- Functions of real variables --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Math --- Science --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Conformal geometry. --- Conformal mapping. --- Conformal representation of surfaces --- Mapping, Conformal --- Transformation, Conformal --- Geometric function theory --- Mappings (Mathematics) --- Surfaces, Representation of --- Circular geometry --- Geometry of inverse radii --- Inverse radii, Geometry of --- Inversion geometry --- Möbius geometry --- Geometry

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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.

Sociology of culture --- Sociology of minorities --- Migration. Refugees --- Personnel management --- coaching --- HRM (human resource management) --- migratie (mensen) --- intercultureel management --- culturele diversiteit

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"We 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, we 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. We illustrate our 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"--

Heisenberg uncertainty principle --- Heisenberg, Principe d'incertitude d' --- Hausdorff measures --- Hausdorff, Mesures de --- Nilpotent Lie groups. --- Conformal mapping. --- Markov processes. --- Hausdorff measures. --- Thermodynamics --- Mathematical models.

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