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Limit distribution in the $q$-CLT for $q \ge 1$ can not have a compact support
q-central limit theorem q-Fourier transform q-Gaussian
2011/3/2
In a recent paper Hilhorst (1) illustrated that the q-Fourier transform for q > 1 is not
invertible in the space of density functions. Using an invariance principle he constructed a
family of densit...
Limit distribution with a combination of density functions for a 2-state quantum walk
Limit distribution Time-inhomogeneous 2-state quantum walk
2010/11/5
We consider 2-state time-inhomogeneous quantum walks defined by two matrices on the line. For the time-homogeneous walks determined by a unitary matrix, the limit distribution is expressed by a simple...