Pointwise Bounds for Joint Eigenfunctions of Quantum Completely Integrable Systems. [PDF]
Commun Math Phys, 2020 Galkowski J, Toth JA.
europepmc +1 more source
Discovery and visualization of structural biomarkers from MRI using transport-based morphometry. [PDF]
Neuroimage, 2018 Kundu S +5 more
europepmc +1 more source
Brane Effective Actions, Kappa-Symmetry and Applications. [PDF]
Living Rev Relativ, 2012 Simón J.
europepmc +1 more source
Singular integrals related to the Radon transform and boundary value problems. [PDF]
Proc Natl Acad Sci U S A, 1983 Phong DH, Stein EM.
europepmc +1 more source
Geometric-topological deep transfer learning for precise vessel segmentation in 3D medical volumes. [PDF]
NPJ Digit MedWu J, Wen Z, Zhou H, Sun N, Zhang Y.
europepmc +1 more source
Review for optical metalens based on metasurfaces: fabrication and applications. [PDF]
Microsyst NanoengHu Z +8 more
europepmc +1 more source
Geodesics in the space of relatively Kähler metrics
Journal of the London Mathematical Society, Volume 108, Issue 3, Page 1036-1081, September 2023., 2023 Abstract We derive the geodesic equation for relatively Kähler metrics on fibrations and prove that any two such metrics with fibrewise constant scalar curvature are joined by a unique smooth geodesic. We then show convexity of the log‐norm functional for this setting along geodesics, which yields simple proofs of Dervan and Sektnan's uniqueness result
Michael Hallam
wiley +1 more source
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems
Communications on Pure and Applied Mathematics, Volume 76, Issue 8, Page 1554-1607, August 2023., 2023 Abstract For a given finite subset S of a compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M\S such that each point of S corresponds to an asymptotically flat end and that the Schouten tensor of the ...
Yanyan Li, Luc Nguyen
wiley +1 more source
Massively parallel computation of globally optimal shortest paths with curvature penalization
Concurrency and Computation: Practice and Experience, Volume 35, Issue 2, 25 January 2023., 2023 Abstract We address the computation of paths globally minimizing an energy involving their curvature, with given endpoints and tangents at these endpoints, according to models known as the Reeds‐Shepp car (reversible and forward variants), the Euler‐Mumford elasticae, and the Dubins car. For that purpose, we numerically solve degenerate variants of the
Jean‐Marie Mirebeau +4 more
wiley +1 more source
On subvarieties of singular quotients of bounded domains
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022 Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel +2 more
wiley +1 more source