Results 221 to 230 of about 81,140 (282)

On Mahler's conjecture for even s‐concave functions in dimensions 1 and 2

open access: yesMathematika, Volume 71, Issue 3, July 2025.
Abstract In this paper, we establish different sharp forms of Mahler's conjecture for s$s$‐concave even functions in dimensions n$n$, for n=1$n=1$ and 2, for s>−1/n$s>-1/n$, thus generalizing our previous results in Fradelizi and Nakhle (Int. Math. Res. Not.
Matthieu Fradelizi, Elie Nakhle
wiley   +1 more source

Conformal metrics of constant scalar curvature with unbounded volumes

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
wiley   +1 more source

An Information Theoretic Condition for Perfect Reconstruction. [PDF]

open access: yesEntropy (Basel)
Delsol I   +4 more
europepmc   +1 more source

Geodesics in planar Poisson road random metric

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract We study the structure of geodesics in the fractal random metric constructed by Kendall from a self‐similar Poisson process of roads (that is, lines with speed limits) in R2$\mathbb {R}^2$. In particular, we prove a conjecture of Kendall stating that geodesics do not pause en route, that is, use roads of arbitrary small speed except at their ...
Guillaume Blanc   +2 more
wiley   +1 more source

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