The fractional Laplacian has infinite dimension
Work
Year: 2019
Type: article
Abstract: We show that the fractional Laplacian on Rd fails to satisfy the Bakry-Émery curvature-dimension inequality CD(κ,N) for all curvature bounds κ∈R and all finite dimensions N > 0.
Authors Adrian Spener, Frederic Weber, Rico Zacher
Institutions Technische Hochschule Ulm, Universität Ulm
Cites: 26
Cited by: 12
Related to: 10
FWCI: 2.483
Citation percentile (by year/subfield): 93.66
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: green