2 research outputs found
Central limit theorem for the complex eigenvalues of Gaussian random matrices
We establish a central limit theorem for the counting function of the
eigenvalues of a matrix of real Gaussian random variables.Comment: 11 page
Big flip graphs and their automorphism groups
In this paper, we study the relationship between the mapping class
group of an infinite-type surface and the simultaneous flip graph,
a variant of the flip graph for infinite-type surfaces defined by
Fossas and Parlier [6]. We show that the extended
mapping class group is isomorphic to a proper subgroup of the
automorphism group of the flip graph, unlike in the finite-type
case. This shows that Ivanov\u27s metaconjecture, which states that
any “sufficiently rich" object associated to a finite-type surface
has the extended mapping class group as its automorphism group, does
not extend to simultaneous flip graphs of infinite-type surfaces