4 citations · 8 across the 5 of their papers we have counts for
5 papers
Geometric approach for non pharmaceutical interventions in epidemiology
Laurent Evain, Jean-Jacques Loeb
Various non pharmaceutical interventions have been settled to minimise the burden of the COVID-19 outbreak. We build a framework to analyse the dynamics of non pharmaceutical inter…
Smooth critical points of planar harmonic mappings
M. El Amrani, M. Granger, J. -J. Loeb +1
In a work in 1992, Lyzzaik studies local properties of light harmonic mappings. More precisely, he classifies their critical points and accordingly studies their topological and ge…
Strong Logarithmic Sobolev Inequalities for Log-Subharmonic Functions
Piotr Graczyk, Todd Kemp, Jean-Jacques Loeb
We prove an intrinsic equivalence between strong hypercontractivity and a strong logarithmic Sobolev inequality for the cone of logarithmically subharmonic functions. We introduce…
Hypercontractivity for log-subharmonic functions
Piotr Graczyk, Todd Kemp, Jean-Jacques Loeb +1
We prove strong hypercontractivity (SHC) inequalities for logarithmically subharmonic functions on $\RR^n$ and different classes of measures: Gaussian measures on $\RR^n$, symmetri…
Hyperbolic manifolds whose envelopes of holomorphy are not hyperbolic
Laura Geatti, Andrea Iannuzzi, Jean-Jacques Loeb
We present a family of examples of two dimensional, hyperbolic complex manifolds whose envelopes of holomorphy are not hyperbolic.