Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices
نویسندگان
چکیده
منابع مشابه
Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices
To a unitary matrix U we associate a doubly stochastic matrix M by taking the squared modulus of each element of U . To study the connection between onset of quantum chaos on graphs and ergodicity of the underlying Markov chain, specified by M , we study the limiting distribution of the spectral gap of M when U is taken from the circular unitary ensemble and the dimension N of U is taken to inf...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/22/101