1 citations · 1 across the 3 of their papers we have counts for
4 papers
Infinite graphs satisfying the Bakry-Emery curvature condition CD(0, n): The modified heat equation and applications to geometric analysis
Emmanuel Russ, Hervé Pajot
Let G = (V, p, ) be a (finite or infinite) weighted graph with bounded geometry. Assuming that G satisfies the classical curvaturedimension condition of Bakry-Emery CD(K, n) wit…
A Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition
François Hamel, Emmanuel Russ
We prove a Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition, provided that the parameter in the Robin condition is large enough. The proof rel…
Reverse inequalities for quasi-Riesz transform on the Vicsek cable system
Baptiste Devyver, Emmanuel Russ
This work is devoted to the study of so-called ``reverse Riesz'' inequalities and suitable variants in the context of some fractal-like cable systems. It was already proved by L. C…
Reverse inequality for the riesz transforms on Riemannian manifolds
Emmanuel Russ, Baptiste Devyver
Let be a complete Riemannian manifold satisfying the doubling volume condition for geodesic balls and scaled Poincaré inequalities on suitable remote balls for some …