Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
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
Degenerate domain walls in supersymmetric theories. [PDF]
Chen S, Ievlev E, Shifman M.
europepmc +1 more source
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
Analyzing the impact of a discounted parameter on the reduction of collision time in Brownian particle trajectories. [PDF]
El-Hadidy MAA, Alraddadi R.
europepmc +1 more source
The Great Dyke of Zimbabwe is notable for its rich platinum group metal deposits but poses significant geological and geotechnical challenges due to its complex rock types and structural features. Traditional pillar design methods are insufficient for addressing these complexities; the study suggests incorporating advanced techniques such as machine ...
Tawanda Zvarivadza +3 more
wiley +1 more source
Design parallel and sequential quantum algorithms via spectral element method on distributed quantum architectures. [PDF]
Shayegan AHS.
europepmc +1 more source
Review and prospects of shear test of bolted rock joints
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
Effects of electrode placement on electrical stimulation for wound healing. [PDF]
Kim S +6 more
europepmc +1 more source
The transition from linear to cyclic organic cations promotes deprotonation and activates VH(N) defects with pronounced lone‐pair electron activity, thereby inducing severe local distortions and highly efficient nonradiative recombination centers. This work unveils a direct structure–defect–performance correlation and proposes design strategies for the
Qingshan Bao +5 more
wiley +1 more source
3D finite-element study for multi-frequency harmonic shear wave elastography: shear wave speed contrast assessment and experimental verification. [PDF]
Roy T, Konofagou EE.
europepmc +1 more source

