This paper is involved with the following problem. Given a sequence of local martingales,
say (Mn), under which conditions on the quadratic variations ([M,]), can we state the …

Let $\mathcal{T}$ be a quantum Markov semigroup on ${\mathcal{B}}(\mathsf{h})$ with a
faithful normal invariant state ρ. The decoherence-free subalgebra ${\mathcal{N}(\mathcal{T})}$ …

In a preceding research [4], [5], we characterized resonance for pure states by means of
Shannon entropy of their spectral measures. In the present article we extent this investigation to …

The frequency of genes in interconnected populations and of species in interconnected
communities are affected by similar processes, such as birth, death and immigration. The …

This article introduces a concept of subharmonic projections for a quantum Markov
semigroup, in view of characterizing the support projection of a stationary state in terms of the …

D'un autre côté, ces dernières années ont connu l'essor de la Théorie des Martingales et de
la Théorie Générale des Processus. La convergence en loi des processus est d'une utilité …

Quantum dynamical semigroups QDS appeared for the first time in the physical literature
during the 1970s motivated by studies on the evolution of open systems. This class of …

Background Persistent hyperlactatemia during septic shock is multifactorial. Hypoperfusion-related
anaerobic production and adrenergic-driven aerobic generation together with …

This article introduces a concept of transience and recurrence for a Quantum Markov
Semigroup and explores its main properties via the associated potential. We show that an …

Oxygen is the key molecule for aerobic metabolism, but no animal cells can produce it, creating
an extreme dependency on external supply. In contrast, microalgae are photosynthetic …