Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
A modified near-field target localization method based on vector diagonal loading. [PDF]
Sci RepJi Q, Xiao D, Du L, Xie T, Pang Y.
europepmc +1 more source
A note on an infinite family of graphs with all different integral Laplacian eigenvalues [PDF]
C. Dalfó, M.A. Fiol
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Investigation of the underlying factor structures of social interaction impairments in children diagnosed with autism spectrum disorder at autism centers, Addis Ababa, Ethiopia: principal component analysis of the autism treatment evaluation checklists. [PDF]
Pan Afr Med JLiyew WA +4 more
europepmc +1 more source
Eigenvalue distribution of large weighted multipartite random sparse graphs [PDF]
Valentin Vengerovsky
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ChemPhysChem, Volume 26, Issue 6, March 15, 2025.The electronic spin state of two Chichibabin radicals is investigated using 2‐dimensional hyperfine correlated Electron Nuclear Double Resonance. The protons (I=1/2) act as a reference for the electronic spin quantum number (S) via their hyperfine interactions.
Gabriel Moise +7 more
wiley +1 more source
Edge states jointly determined by eigenvalue and eigenstate winding. [PDF]
Light Sci ApplHu J, Sha Y, Yang Y.
europepmc +1 more source
The $R_{\\infty}$-property of flat manifolds: Toward the eigenvalue one\n property of finite groups [PDF]
Gerhard Hiß, Rafał Lutowski
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ChemPhysChem, Volume 26, Issue 6, March 15, 2025.Linear infrared spectroscopy combined with isotope labeling and density functional theory unravels the origin of a Fermi triad in a multifunctional vibrational chromophore. Ultrafast 2DIR‐spectroscopy reports directly on the dynamics and the intramolecular vibrational energy flow pathways in the isotopically deperturbed system. Abstract Infrared probes
Claudia Gräve +4 more
wiley +1 more source