Results 101 to 110 of about 116,873 (193)
Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Bijections from Dyck and Motzkin meanders with catastrophes to pattern avoiding Dyck paths [PDF]
Jean-Luc Baril, Sergey Kirgizov
doaj +1 more source
Random planar trees and the Jacobian conjecture
Abstract We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping F:Cn→Cn$F\colon \mathbb {C}^n \rightarrow \mathbb {C}^n$ whose Jacobian determinant is a non‐zero constant) has a compositional inverse which is also a polynomial. The Jacobian conjecture may be formulated in
Elia Bisi +5 more
wiley +1 more source
Some new families of compositions based on big part restrictions [PDF]
Augustine O. Munagi, Mark Shattuck
doaj +1 more source
Inequalities and counterexamples for functional intrinsic volumes and beyond
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
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Cori, R., Reutenauer, C.
openaire +1 more source
New upper bound for lattice covering by spheres
Abstract We show that there exists a lattice covering of Rn$\mathbb {R}^n$ by Euclidean spheres of equal radius with density O(nlnβn)$O\big (n \ln ^{\beta } n \big)$ as n→∞$n\rightarrow \infty$, where β≔12log28πe33=1.85837….$$\begin{align*} \beta \coloneqq \frac{1}{2} \log _2 {\left(\frac{8 \pi \mathrm{e}}{3\sqrt 3}\right)}=1.85837\,\ldots . \end{align*
Jun Gao +3 more
wiley +1 more source
Promotion operator on rigged configurations of type A
Recently, the analogue of the promotion operator on crystals of type A under a generalization of the bijection of Kerov, Kirillov and Reshetikhin between crystals (or Littlewood--Richardson tableaux) and rigged configurations was proposed. In this paper,
Schilling, Anne, Wang, Qiang
core +1 more source
Planar maps as labeled mobiles
We extend Schaeffer's bijection between rooted quadrangulations and well-labeled trees to the general case of Eulerian planar maps with prescribed face valences, to obtain a bijection with a new class of labeled trees, which we call mobiles.
Bouttier, J. +2 more
core +4 more sources

