Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Dylan P. Thurston"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the developmen
Externí odkaz:
https://doaj.org/article/db814d14d3694cc98a5a6142342d2192
Autor:
DYLAN P. THURSTON
Publikováno v:
Forum of Mathematics, Sigma, Vol 7 (2019)
An elastic graph is a graph with an elasticity associated to each edge. It may be viewed as a network made out of ideal rubber bands. If the rubber bands are stretched on a target space there is an elastic energy. We characterize when a homotopy clas
Externí odkaz:
https://doaj.org/article/3b014ceab88346c58a9dad068dcf7090
Publikováno v:
Forum of Mathematics, Sigma, Vol 7 (2019)
Let $\mathbf{p}$ be a configuration of $n$ points in $\mathbb{R}^{d}$ for some $n$ and some $d\geqslant 2$. Each pair of points has a Euclidean distance in the configuration. Given some graph $G$ on $n$ vertices, we measure the point-pair distances c
Externí odkaz:
https://doaj.org/article/90e3da3ec5d948abad1848936a73d405
Publikováno v:
Journal of Computational Geometry, Vol 4, Iss 1 (2013)
We study the properties of affine rigidity of a hypergraph and prove a variety of fundamental results. First, we show that affine rigidity is a generic property (i.e., depends only on the hypergraph, not the particular embedding). Then we prove that
Externí odkaz:
https://doaj.org/article/332e5e5be8bb4b7080d71b1cf4ff010a
Publikováno v:
Groups, Geometry, and Dynamics. 16:403-435
Given two Riemann surfaces with boundary and a homotopy class of topological embeddings between them, there is a conformal embedding in the homotopy class if and only if the extremal length of every simple multi-curve is decreased under the embedding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::457b01ca09cb50597c1f9085d3e5a1c8
https://doi.org/10.4171/ggd/673
https://doi.org/10.4171/ggd/673
Publikováno v:
Forum of Mathematics, Sigma. 9
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the developmen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6729743895a7e72987bc3bc76db71f83
https://doi.org/10.1017/fms.2021.68
https://doi.org/10.1017/fms.2021.68
View the abstract.
Autor:
Hyungryul Baik, John H. Hubbard, Gao Yan, William P. Thurston, Kathryn Lindsey, Tan Lei, Dylan P. Thurston
Degree-$d$-invariant laminations of the disk model the dynamical action of a degree-$d$ polynomial; such a lamination defines an equivalence relation on $S^1$ that corresponds to dynamical rays of an associated polynomial landing at the same multi-ac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce086792ee1790fc5bd48534c1c72950
https://doi.org/10.1515/9780691185897-013
https://doi.org/10.1515/9780691185897-013
We show that the if a sequence of normalized polynomials gives rise to a positive basis of the skein algebra of a surface, then it is sandwiched between the two types of Chebyshev polynomials. For the closed torus, we show that the normalized sequenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c780f25777a5a66c1eb7dab1cd3f0ae0
Publikováno v:
Michigan Mathematical Journal. 67
In this paper we show how to recover the relative Q-grading in Heegaard Floer homology from the noncommutative grading on bordered Floer homology.
Comment: 10 pages, 2 figures
Comment: 10 pages, 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be3b9104aaef301418976f8c9357e473
https://doi.org/10.1307/mmj/1539763499
https://doi.org/10.1307/mmj/1539763499