Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The birth of a cut in unitary random matrix ensembles   We study unitary random matrix ensembles in the critical regime where a new
cut arises away from the original spectrum. We perform a double scaling limit
where the size of the matrices tends to infinity, but in such a way that only a
bounded number of eigenvalues is expected in the newborn cut. It turns out that
limits of the eigenvalue correlation kernel are given by Hermite kernels
corresponding to a finite size Gaussian Unitary Ensemble (GUE). When modifying
the double scaling limit slightly, we observe a remarkable transition each time
the new cut picks up an additional eigenvalue, leading to a limiting kernel
interpolating between GUE-kernels for matrices of size k and size k+1. We prove
our results using the Riemann-Hilbert approach.

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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
7
The categories of this paper are: hep-th