Results 181 to 190 of about 364,912 (284)

Equivariant valuations on convex functions. [PDF]

Calc Var Partial Differ Equ
Hofstätter GC, Knoerr J.
europepmc   +1 more source

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

Surgery and positive Bakry-Émery Ricci curvature. [PDF]

Calc Var Partial Differ Equ
Reiser P, Tripaldi F.
europepmc   +1 more source

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

Higher-order spatiotemporal wave packets with Gouy phase dynamics. [PDF]

Nanophotonics
Yu W, Shen Y.
europepmc   +1 more source

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, EarlyView.
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, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Quantitative analysis of the influence of faults on deep in situ stress under different stress types. [PDF]

Sci Rep
Zheng P, Liu J, Zhang H, Tian B, Xu K, Li Z, Qiang J, Luo Y, Hu Y, Li Z, Lai S, Chen Q.   +11 more
europepmc   +1 more source

Geological and geotechnical challenges on the Great Dyke of Zimbabwe and their impact on hardrock pillar design

Deep Underground Science and Engineering, EarlyView.
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, Hendrik Grobler, Moshood Onifade, Manoj Khandelwal   +3 more
wiley   +1 more source

Some Properties of the Plaquette Random-Cluster Model. [PDF]

Math Phys Anal Geom
Duncan P, Schweinhart B.
europepmc   +1 more source

Review and prospects of shear test of bolted rock joints

Deep Underground Science and Engineering, EarlyView.
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, Fan Yang, Manchao He, Yong Yuan, Zhigang Tao   +4 more
wiley   +1 more source