Results 61 to 70 of about 211,771 (176)
Lattices in function fields and applications
Mathematika, Volume 71, Issue 2, April 2025.Abstract In recent decades, the use of ideas from Minkowski's Geometry of Numbers has gained recognition as a helpful tool in bounding the number of solutions to modular congruences with variables from short intervals. In 1941, Mahler introduced an analogue to the Geometry of Numbers in function fields over finite fields.
Christian Bagshaw, Bryce Kerr
wiley +1 more source
Complexity problems in enumerative combinatorics [PDF]
arXiv, 2018 We give a broad survey of recent results in Enumerative Combinatorics and their complexity aspects.
arxiv
A sharp higher order Sobolev embedding
Mathematika, Volume 71, Issue 2, April 2025.Abstract We obtain sharp embeddings from the Sobolev space W0k,2(−1,1)$W^{k,2}_0(-1,1)$ into the space L1(−1,1)$L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.
Raul Hindov +3 more
wiley +1 more source
A new construction of forests with low visibility
Mathematika, Volume 71, Issue 2, April 2025.Abstract A set of points with finite density is constructed in Rd$\mathbb {R}^d$, with d⩾2$d\geqslant 2$, by adding points to a Poisson process such that any line segment of length Oε−(d−1)lnε−1$O\left(\varepsilon ^{-(d-1)}\ln \varepsilon ^{-1}\right)$ in Rd$\mathbb {R}^d$ will contain one of the points of the set within distance ε$\varepsilon$ of it ...
Kirill Kashkan
wiley +1 more source
Combinatorics in the Art of the Twentieth Century [PDF]
, 2017 This paper is motivated by a question I asked myself: How can combinatorial structures be used in a work of art? Immediately, other questions arose: Whether there are artists that work or think combinatorially?
Barrière Figueroa, Eulalia
core
A four‐dimensional peabody of constant width
Mathematika, Volume 71, Issue 2, April 2025.Abstract In this paper, we present a unique four‐dimensional body of constant width based on the classical notion of focal conics.
Isaac Arelio +2 more
wiley +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Some asymptotic methods in combinatorics [PDF]
, 1979 J. M. Plotkin, John W. Rosenthal
openalex +1 more source
On a Gallai‐type problem and illumination of spiky balls and cap bodies
Mathematika, Volume 71, Issue 2, April 2025.Abstract We show that any finite family of pairwise intersecting balls in En${\mathbb {E}}^n$ can be pierced by (3/2+o(1))n$(\sqrt {3/2}+o(1))^n$ points improving the previously known estimate of (2+o(1))n$(2+o(1))^n$. As a corollary, this implies that any 2‐illuminable spiky ball in En${\mathbb {E}}^n$ can be illuminated by (3/2+o(1))n$(\sqrt {3/2}+o ...
Andrii Arman +3 more
wiley +1 more source
Recent developments in algebraic combinatorics [PDF]
arXiv, 2002 A survey of three recent developments in algebraic combinatorics: (1) the Laurent phenomenon, (2) Gromov-Witten invariants and toric Schur functions, and (3) toric h-vectors and intersection cohomology. This paper is a continuation of "Recent progress in algebraic combinatorics" (math.CO/0010218), which dealt with three other topics.
arxiv