The characteristic polynomial on compact groups with Haar measure: some equalities in law
نویسندگان
چکیده
منابع مشابه
The Characteristic Polynomial on Compact Groups with Haar Measure : Some Equalities in Law
Abstract. This note presents some equalities in law for ZN := det(Id− G), where G is an element of a subgroup of the set of unitary matrices of size N , endowed with its unique probability Haar measure. Indeed, under some general conditions, ZN can be decomposed as a product of independent random variables, whose laws are explicitly known. Our results can be obtained in two ways : either by a r...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2007
ISSN: 1631-073X
DOI: 10.1016/j.crma.2007.06.023