Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform infinite half-planar quadrangulations with skewness   We introduce a one-parameter family of random infinite quadrangulations of
the half-plane, which we call the uniform infinite half-planar quadrangulations
with skewness (UIHPQ$_p$ for short, with $p\in[0,1/2]$ measuring the skewness).
They interpolate between Kesten's tree corresponding to $p=0$ and the usual
UIHPQ with a general boundary corresponding to $p=1/2$. As we make precise,
these models arise as local limits of uniform quadrangulations with a boundary
when their volume and perimeter grow in a properly fine-tuned way, and they
represent all local limits of (sub)critical Boltzmann quadrangulations whose
perimeter tend to infinity. Our main result shows that the family
(UIHPQ$_p$)$_p$ approximates the Brownian half-planes BHP$_\theta$, $\theta\geq
0$, recently introduced in Baur, Miermont, and Ray (2016). For $p<1/2$, we give
a description of the UIHPQ$_p$ in terms of a looptree associated to a critical
two-type Galton-Watson tree conditioned to survive.

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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th