22 citations · 56 across the 11 of their papers we have counts for
12 papers
The relative importance of being Gaussian
F. Alberto Grünbaum, Tondgi Xu
The remarkable results for denoising in computer vision using diffusion models given in \cite{SDWMG,HJA,HHG} yield a robust mathematical justification for algorithms based on cruci…
Occupation time for classical and quantum walks
F. A. Grunbaum, L. Velazquez, J. Wilkening
This is a personal tribute to Lance Littlejohn on the occasion of his 70th birthday. It is meant as a present to him for many years of friendship. It is not written in the "Satz-Be…
Quantum Markov chains: recurrence, Schur functions and splitting rules
F. A. Grünbaum, C. F. Lardizabal, L. Velázquez
In this work we study the recurrence problem for quantum Markov chains, which are quantum versions of classical Markov chains introduced by S. Gudder and described in terms of comp…
Some limit laws for quantum walks with applications to a version of the Parrondo paradox
Takuya Machida, F. Alberto Grunbaum
A quantum walker moves on the integers with four extra degrees of freedom, performing a coin-shift operation to alter its internal state and position at discrete units of time. The…
Stochastic Darboux transformations for quasi-birth-and-death processes and urn models
F. Alberto Grunbaum, Manuel D. de la Iglesia
We consider stochastic UL and LU block factorizations of the one-step transition probability matrix for a discrete-time quasi-birth-and-death process, namely a stochastic block tri…
Stochastic LU factorizations, Darboux transformations and urn models
F. Alberto Grünbaum, Manuel D. de la Iglesia
We consider UL (and LU) decompositions of the one-step transition probability matrix of a random walk with state space the nonnegative integers, with the condition that both upper…