Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
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$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Molecular Mechanisms of Gas-Ice Interfacial Transport: Size- and Charge-Dependent Fractionation during Bubble Close-off. [PDF]
Yi YS, Han Y.
europepmc +1 more source
Early Warning Signals in Phase Space: Geometric Resilience Loss Indicators From Multiplex Cumulative Recurrence Networks. [PDF]
Hasselman F.
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A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Completeness and Geodesic Distance Properties for Fractional Sobolev Metrics on Spaces of Immersed Curves. [PDF]
Bauer M, Heslin P, Maor C.
europepmc +1 more source
Entropy of Quantum States. [PDF]
Facchi P, Gramegna G, Konderak A.
europepmc +1 more source
When Dihedral Angles Mask Denticity in Molecular Conductance
This study tests whether higher molecule–electrode denticity increases conductance in single‐molecule junctions. Using nonequilibrium Green's function technique in conjunction with density functional theory simulations and mechanically controlled break‐junction experiments on a tetradentate N‐heterohexacene, it is found that conductance depends mainly ...
Kevin Batzinger +8 more
wiley +1 more source
Mimicking Marker Spread After Disruption of the Blood-Brain Barrier with a Collagen-Based Hydrogel Phantom. [PDF]
Vanina AS +5 more
europepmc +1 more source
Site effects how-to and when: An overview of retrospective techniques to accommodate site effects in multi-site neuroimaging analyses. [PDF]
Bayer JMM +9 more
europepmc +1 more source
On the Method of Harmonic Balance for Lumped‐Element Transformer Models
The steady‐state solution of a lumped‐element transformer model with a dry friction‐like hysteresis model depicting the magnetic core is of interest. The harmonic balance method efficiently solves this stiff system. We derive the harmonic balance algorithm, enhance it with performance and convergence improvements, and demonstrate its efficiency by ...
Alexander Sauseng +5 more
wiley +1 more source

