Results 311 to 320 of about 5,495,109 (374)

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli   +2 more
wiley   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta   +2 more
wiley   +1 more source

Conveying tactile object characteristics through customized intracortical microstimulation of the human somatosensory cortex. [PDF]

open access: yesNat Commun
Verbaarschot C   +6 more
europepmc   +1 more source

Self-dual cones in euclidean spaces

open access: bronze, 1976
George P. Barker, James M. Foran
openalex   +1 more source

Pre‐industrial Use of Bauxite by Late Gothic Goldsmith Masters: Analytical Evidence and Experimental Study

open access: yesChemPlusChem, EarlyView.
First analytical evidence and replication of yet undescribed substantial change in gilding technology in the early modern period ‐ the replacement of imported red clay (bole) with locally available bauxite. Proof of its source ‐ Croatian Minjera, according to a unique find of mineral diaspore.
David Hradil   +3 more
wiley   +1 more source

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