3 papers
math.FA2021
Positivity and polynomial decay of energies for square-field operators
Artur Stephan, Holger Stephan
We show that for a general Markov generator the associated square-field (or carré du champs) operator and all their iterations are positive. The proof is based on an interpolation…
math.NA2020
Millions of Perrin pseudoprimes including a few giants
Holger Stephan
The calculation of many and large Perrin pseudoprimes is a challenge. This is mainly due to their rarity. Perrin pseudoprimes are one of the rarest known pseudoprimes. In order to…
math.CA2018
Memory equations as reduced Markov processes
Artur Stephan, Holger Stephan
A large class of linear memory differential equations in one dimension, where the evolution depends on the whole history, can be equivalently described as a projection of a Markov…