5 citations · 5 across the 4 of their papers we have counts for
4 papers
Local conditional entropy in measure for covers with respect to a fixed partition
Pierre Paul Romagnoli
In this paper, we introduce two measure theoretical notions of conditional entropy for finite measurable covers conditioned to a finite measurable partition and prove that they are…
Shearer's inequality and Infimum Rule for Shannon entropy and topological entropy
Tomasz Downarowicz, Bartosz Frej, Pierre-Paul Romagnoli
We review subbadditivity properties of Shannon entropy, in particular, from the Shearer's inequality we derive the "infimum rule" for actions of amenable groups. We briefly discuss…
The physics of custody
Andrés Gomberoff, Víctor Muñoz, Pierre Paul Romagnoli
Divorced individuals face complex situations when they have children with different ex-partners, or even more, when their new partners have children of their own. In such cases, an…
Generating Simplicial Complexes
Daniel J. Pons, Pierre P. Romagnoli
In the spirit of topological entropy we introduce new complexity functions for general dynamical systems (namely groups and semigroups acting on closed manifolds) but with an empha…