Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Tarik Aougab"'
Autor:
Shuchi Agrawal, Roberta Shapiro, Marissa Loving, J. Robert Oakley, Tarik Aougab, Yassin Chandran, Yang Xiao
Publikováno v:
Michigan Mathematical Journal. 73
Given a natural number k and an orientable surface S of finite type, define the k-curve graph to be the graph with vertices corresponding to isotopy classes of essential simple closed curves on S and with edges corresponding to pairs of such curves a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e162de25559f2440eceb362fa82409b6
https://doi.org/10.1307/mmj/20205929
https://doi.org/10.1307/mmj/20205929
Autor:
TARIK AOUGAB, JONAH GASTER
We show that any set of distinct homotopy classes of simple closed curves on the torus that pairwise intersect at most $k$ times has size $k + O(\sqrt{k} \log k)$. Prior to this work, a lemma of Agol, together with the state of the art bounds for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fe997095725b39a370d3659c987bae4
http://arxiv.org/abs/2008.08172
http://arxiv.org/abs/2008.08172
In this paper we consider two piecewise Riemannian metrics defined on the Culler-Vogtmann outer space which we call the entropy metric and the pressure metric. As a result of work of McMullen, these metrics can be seen as analogs of the Weil-Petersso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b051d0a98029e347874cbf9154f4466
Autor:
Tarik Aougab
Publikováno v:
Transactions of the American Mathematical Society. 370:2657-2678
Let S S be an orientable surface with negative Euler characteristic. For k ∈ N k \in \mathbb {N} , let C k ( S ) \mathcal {C}_{k}(S) denote the k-curve graph, whose vertices are isotopy classes of essential simple closed curves on S S and whose edg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba94ef3cd951220a326963c12b15433a
https://doi.org/10.1090/tran/7098
https://doi.org/10.1090/tran/7098
Autor:
Margaret Beck, Surabhi Desai, Paul A. Carter, Björn Sandstede, Tarik Aougab, Melissa Stadt, Aric Wheeler
Publikováno v:
Journal of Dynamics and Differential Equations. 31:1199-1222
We analyze the bifurcation diagrams of spatially localized stationary patterns that exhibit a long spatially periodic interior plateau (referred to as localized rolls). In a wide variety of contexts, these bifurcation diagrams consist of isolas or of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::392b1480bda0ab1b89eaa911364bd28a
https://doi.org/10.1007/s10884-017-9624-0
https://doi.org/10.1007/s10884-017-9624-0
Autor:
Tarik Aougab, Samuel Taylor
Publikováno v:
Contemporary Mathematics. :17-28
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9ad555c903cc009742ca4d6ff581a66
https://doi.org/10.1090/conm/696/14014
https://doi.org/10.1090/conm/696/14014
Autor:
Tarik Aougab, Shinnyih Huang
Publikováno v:
Algebr. Geom. Topol. 15, no. 2 (2015), 903-932
Let $S_{g}$ denote the closed orientable surface of genus $g$. We construct exponentially many mapping class group orbits of pairs of simple closed curves which fill $S_{g}$ and intersect minimally, by showing that such orbits are in correspondence w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a6592ecddf88c20234681cc160749da
https://doi.org/10.2140/agt.2015.15.903
https://doi.org/10.2140/agt.2015.15.903
We prove that there is an algorithm to determine if a given finite graph is an induced subgraph of a given curve graph.
12 pages, 2 figures
12 pages, 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::007c3ab350e2b1f014e3b9e1a453b5f8
http://arxiv.org/abs/1702.04757
http://arxiv.org/abs/1702.04757
Autor:
Tarik Aougab
Publikováno v:
Geom. Topol. 17, no. 5 (2013), 2855-2875
Let $\mathcal{C}(S_{g,p})$ denote the curve complex of the closed orientable surface of genus $g$ with $p$ punctures. Masur-Minksy and subsequently Bowditch showed that $\mathcal{C}(S_{g,p})$ is $\delta$-hyperbolic for some $\delta=\delta(g,p)$. In t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f40f4fb10147f48b397f0f7c9c93e946
https://doi.org/10.2140/gt.2013.17.2855
https://doi.org/10.2140/gt.2013.17.2855
We prove that stability -- a strong quasiconvexity property -- pulls back under proper actions on proper metric spaces. This result has several applications, including that convex cocompact subgroups of both mapping class groups and outer automorphis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::379bbf647be80285e59dc0c2d7de5c11
http://arxiv.org/abs/1609.06698
http://arxiv.org/abs/1609.06698