111 citations · 256 across the 16 of their papers we have counts for
4 papers · 1 filter
Least singular value and condition number of a square random matrix with i.i.d. rows
Matteo Gregoratti, Davide Maran
We consider a square random matrix made by i.i.d. rows with any distribution and prove that, for any given dimension, the probability for the least singular value to be in [0; )…
Classical dilations à la Hudson-Parthasarathy of Markov semigroups
M. Gregoratti
We study the Classical Probability analogue of the dilations of a quantum dynamical semigroup defined in Quantum Probability via quantum stochastic differential equations. Given a…
Classical dilations à la Quantum Probability of Markov evolutions in discrete time
M. Gregoratti
We study the Classical Probability analogue of the dilations of a quantum dynamical semigroup in Quantum Probability. Given a (not necessarily homogeneous) Markov chain in discrete…
A universal dilation of discrete Markov evolutions
M. Gregoratti
Given a finite state space E, we build a universal dilation for all possible discrete time Markov chains on E, homogeneous or not: we introduce a second system (an ``environment'')…