Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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Efficient nonparametric inference for discretely observed compound Poisson processes
A compound Poisson process whose parameters are all unknown is observed at finitely many equispaced times. Nonparametric estimators of the jump and Lévy distributions are proposed and functional central limit theorems using ... 
On the number of nonzero elements of joint degree vectors
(Electronic Journal of Combinatorics, 20170331)Joint degree vectors give the number of edges between vertices of degree i and degree j for 1 ≤ i ≤ j ≤ n1 in an nvertex graph. We find lower and upper bounds for the maximum number of nonzero elements in a joint degree ... 
The half plane UIPT is recurrent
(Springer, 20170307)We prove that the half plane version of the uniform infinite planar triangulation (UIPT) is recurrent. The key ingredients of the proof are a construction of a new full plane extension of the half plane UIPT, based on a ... 
Balanced semisimple filtrations for tilting modules
(American Mathematical Society, 20170308)Let $ U_l$ be a quantum group at an $ l$th root of unity, obtained via Lusztig's divided powers construction. Many indecomposable tilting modules for $ U_l$ have been shown to have what we call a balanced semisimple ...