Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic Theory, Geometric Measure Theory, Conformal Measures and the
  Dynamics of Elliptic Functions   The ultimate goal of our book is to present a unified approach to the
dynamics, ergodic theory, and geometry of elliptic functions from $\C$ to
$\oc$. We consider elliptic functions as a most regular class of transcendental
meromorphic functions. Poles form an essential feature of such functions but
the set of critical values is finite and an elliptic function is "the same" on
its of its fundamental regions. In a sense this is the class of transcendental
meromorphic functions which resembles rational functions most. On the other
hand, the differences are huge. We will touch on them in the course of this
introduction. In order to comprehensively cover the dynamics and geometry of
elliptic functions we make large preparations. This is done in the first two
parts of the book: Part 1, "Ergodic Theory and Measures" and Part 2,"Geometry
and Conformal Measures". We intend our book to be as self contained as possible
and we use essentially all major results of Part~1 and Part~2 in Part~3 and
Part~4 dealing with elliptic functions.
  This book can be thus treated as a fairly comprehensive account of dynamics,
ergodic theory, and fractal geometry of elliptic functions but also as a
reference book (with proofs) for many results of geometric measure theory,
finite and infinite abstract ergodic theory, Young's towers, measure--theoretic
Kolmogorov--Sinai entropy, thermodynamic formalism, geometric function theory
(in particular Koebe's Distortion Theorems and Riemann--Hurwitz Formulas),
various kinds of conformal measures, conformal graph Directed Markov systems
and iterated function systems, classical general theory of elliptic functions,
and topological dynamics of transcendental meromorphic functions.

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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph