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math.DS2018
Spectral gap of sparse bistochastic matrices with exchangeable rows with application to shuffle-and-fold maps
Charles Bordenave, Yanqi Qiu, Yiwei Zhang
We consider a random bistochastic matrix of size of the form where is a uniformly distributed permutation matrix and is a given bistochastic matrix. Under mild sp…
math.DS2016
Ergodic measures on infinite skew-symmetric matrices over non-Archimedean local fields
Yanqi Qiu
Let be a non-discrete non-Archimedean locally compact field such that the characteristic and let be the ring of integers in . The main…
math.DS2016
Ergodic measures on compact metric spaces for isometric actions by inductively compact groups
Yanqi Qiu
We obtain a partial converse of Vershik's description of ergodic probability measures on a compact metric space with respect to an isometric action by an inductively compact group.…