Results 161 to 170 of about 66,461 (287)

Inequalities and counterexamples for functional intrinsic volumes and beyond

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley   +1 more source

Simplified Construction of Integer Dimension Hausdorff Measures [PDF]

Luis A. Cedeño-Pérez
openalex   +1 more source

Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture

Mathematika, Volume 72, Issue 1, January 2026.
Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
wiley   +1 more source

Hausdorff dimension of the Apollonian gasket [PDF]

Polina Vytnova, Caroline Wormell
openalex   +1 more source

The isominwidth problem on the 2‐sphere

Mathematika, Volume 72, Issue 1, January 2026.
Abstract Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if the minimal width is at most π2$\tfrac{\pi }{2}$. If the width is greater than π2$\tfrac{\pi }{2}$, the regular triangle no longer minimizes the area at fixed ...
Ansgar Freyer, Ádám Sagmeister
wiley   +1 more source

Hausdorff dimension of some subsets of the Lagrange and Markov spectra near $3$ [PDF]

Christian Camilo Silva Villamil, Carlos Gustavo Moreira   +1 more
openalex   +1 more source

Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space

Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley   +1 more source

Automatic segmentation of karst reservoir CT images and identification of karst spatial structure based on 3D U-Net. [PDF]

Sci Rep
Zhu Z, Wang H, Xu G, Da X, Li J.
europepmc   +1 more source

Hausdorff Dimension of the SLE Curve Intersected with the Real Line [PDF]

, 2008
Tom Alberts, Scott Sheffield⋆
openalex   +1 more source