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pro vyhledávání: '"Anderson, James W"'
Autor:
Anderson, James W., Wootton, Aaron
In this note, we lay the groundwork for a new approach to the problem of group-signature classification of group actions on closed Riemann surfaces. This new approach first focuses on analyzing the low level arithmetic conditions on signatures before
Externí odkaz:
http://arxiv.org/abs/1810.01148
Autor:
Anderson, James W, Wootton, Aaron
Publikováno v:
Archiv der Mathematik 102 (2014), 181-190
Skeletal signatures were introduced in [J W Anderson and A Wootton, A Lower Bound for the Number of Group Actions on a Compact Riemann Surface, Algebr. Geom. Topol. 12 (2012) 19--35.] as a tool to describe the space of all signatures with which a gro
Externí odkaz:
http://arxiv.org/abs/1310.0204
Autor:
Anderson, James W
Publikováno v:
Computational Methods and Function Theory 14 (2014) 453-464
We continue here the investigation of the relationship between the intersection of a pair of subgroups of a Kleinian group, and in particular the limit set of that intersection, and the intersection of the limit sets of the subgroups. Of specific int
Externí odkaz:
http://arxiv.org/abs/1310.0208
A closed hyperbolic surface of genus $g\ge 2$ can be decomposed into pairs of pants along shortest closed geodesics and if these curves are sufficiently short (and with lengths uniformly bounded away from 0), then the geometry of the surface is essen
Externí odkaz:
http://arxiv.org/abs/1306.6146
Autor:
Anderson, James W.
Publikováno v:
Math. Proc. Cam. Phil. Soc. 158 (2015), 547-572
In this note, we develop a condition on a closed curve on a surface or in a 3-manifold that implies that the curve has the property that its length function on the space of all hyperbolic structures on the surface or 3-manifold completely determines
Externí odkaz:
http://arxiv.org/abs/1202.0905
Autor:
Anderson, James W., Wootton, Aaron
Publikováno v:
Algebr. Geom. Topol. 12 (2012) 19-35
We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus $\sigma \geq 2$ is at least quadratic in $\sigma$. We do this through the introduction of a coarse signature space, the space $\mathcal{K}_\sigma$ of {\em
Externí odkaz:
http://arxiv.org/abs/1107.3433
Autor:
Anderson, James W., Lecuire, Cyril
In this paper we give a complete description of the set of discrete faithful representations SH(M) uniformizing a compact, orientable, hyperbolizable 3-manifold M with incompressible boundary, equipped with the strong topology, with the description g
Externí odkaz:
http://arxiv.org/abs/1003.1843
We show that the asymptotic growth rate for the minimal cardinality of a set of simple closed curves on a closed surface of genus $g$ which fill and pairwise intersect at most $K\ge 1$ times is $2\sqrt{g}/\sqrt{K}$ as $g \to \infty$ . We then bound f
Externí odkaz:
http://arxiv.org/abs/0909.1966
Publikováno v:
Discrete Appl. Math. 156 (2008), no. 18, 3525-3531.
We consider the size and structure of the automorphism groups of a variety of empirical `real-world' networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric. We relate automorphism group str
Externí odkaz:
http://arxiv.org/abs/0705.3215