Results 101 to 110 of about 2,715,033 (227)
Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov +2 more
wiley +1 more source
On the critical exponent of generalized Thue-Morse words [PDF]
Discrete Mathematics and Theoretical Computer Science 9 (2007)
293-304, 2007 For certain generalized Thue-Morse words t, we compute the "critical exponent", i.e., the supremum of the set of rational numbers that are exponents of powers in t, and determine exactly the occurrences of powers realizing it.
arxiv
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
The many faces of alternating-sign matrices [PDF]
"Discrete Models: Combinatorics, Computation, and Geometry"
(special issue of Discrete Mathematics and Theoretical Computer Science),
July 2001, 2002 I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrices, height-function matrices, three-colorings, monotone triangles, tetrahedral order ideals, square ice, gasket-and-basket tilings and full packings of loops.
arxiv
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
A Study on Combinatories in Discrete Mathematics [PDF]
, 2018 The next two chapters deal with Set Theory and some related topics from Discrete Mathematics. This chapter develops the basic theory of sets and then explores its connection with combinatorics (adding and multiplying; counting permutations and ...
Senthilkumar, Mr. B ., Thambidurai, R.
core +1 more source
Antichain cutsets of strongly connected posets
, 2012 Rival and Zaguia showed that the antichain cutsets of a finite Boolean lattice are exactly the level sets. We show that a similar characterization of antichain cutsets holds for any strongly connected poset of locally finite height.
A Aramova +20 more
core +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
The Distribution of Ramsey Numbers [PDF]
Advances and Applications in Discrete Mathematics vol. 14, pp.
67-74 (2014), 2013 We prove that the number of integers in the interval [0,x] that are non-trivial Ramsey numbers r(k,n) (3 <= k <= n) has order of magnitude (x ln x)**(1/2).
arxiv
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