Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniformizing Lee-Yang Singularities   Motivated by the search for the QCD critical point, we discuss how to obtain
the singular behavior of a thermodynamic system near a critical point, namely
the Lee-Yang singularities, from a limited amount of local data generated in a
different region of the phase diagram. We show that by using a limited number
of Taylor series coefficients, it is possible to reconstruct the equation of
state past the radius of convergence, in particular in the critical region.
Furthermore we also show that it is possible to extend this reconstruction to
go from a crossover region to the first-order transition region in the phase
diagram, using a uniformizing map to pass between Riemann sheets. We illustrate
these ideas via the Chiral Random Matrix Model and the Ising Model.

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The categories of this paper are: econ
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph