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math-ph2011
The Quantum Walk of F. Riesz
F. A. Grunbaum, L. Velazquez
We exhibit a way to associate a quantum walk (QW) on the non-negative integers to any probability measure on the unit circle. This forces us to consider one step transitions that a…
math.PR2011★ 28 cited
A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application
F. Alberto Grünbaum, Mizan Rahman
The one variable Krawtchouk polynomials, a special case of the function did appear in the spectral representation of the transition kernel for a Markov chain studied a long…