Limit theorems for linear spectrum statistics of orthogonal polynomial ensembles and their applications in random matrix theory
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5006507
Abstract: In this paper, we consider the asymptotic behavior of Xfn(n)≔∑i=1nfn(xi), where xi,i=1,…,n form orthogonal polynomial ensembles and fn is a real-valued, bounded measurable function. Under the condition that VarXfn(n)→∞, the Berry-Esseen (BE) bound and Cramer… read more here.
Keywords: linear spectrum; limit theorems; orthogonal polynomial; spectrum statistics ... See more keywords
Some sphere theorems in linear potential theory
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7637
Abstract: In this paper we analyze the capacitary potential due to a charged body in order to deduce sharp analytic and geometric inequalities, whose equality cases are saturated by domains with spherical symmetry. In particular, for… read more here.
Keywords: linear potential; bigg frac; theorems linear; frac ... See more keywords