Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Millichap, Christian"'
Autor:
Millichap, Christian, Trapp, Rolland
We explicitly construct a sequence of hyperbolic links $\{ L_{4n} \}$ where the number of symmetries of each $\mathbb{S}^{3} \setminus L_{4n}$ that are not induced by symmetries of the pair $(\mathbb{S}^{3}, L_{4n})$ grows linearly with n. Specifical
Externí odkaz:
http://arxiv.org/abs/2403.17616
Autor:
Millichap, Christian, Yau, Yeeka
In this article, we create an artificial neural network (ANN) that combines both classical and modern techniques for determining the key length of a Vigen\`{e}re cipher. We provide experimental evidence supporting the accuracy of our model for a wide
Externí odkaz:
http://arxiv.org/abs/2312.09956
In this article, we analyze and improve upon the twist-based algorithms introduced by Barr--Simoson and Park--Kim--Cho--Yum for determining the key length of a Vigen\`{e}re cipher. We provide an in-depth discussion on how the domain of the twist inde
Externí odkaz:
http://arxiv.org/abs/2309.15240
Autor:
Millichap, Christian, Trapp, Rolland
In this paper, we show that two flat fully augmented links with homeomorphic complements must be equivalent as links in $\mathbb{S}^{3}$. This requires a careful analysis of how totally geodesic surfaces and cusps intersect in these link complements
Externí odkaz:
http://arxiv.org/abs/2302.02002
Autor:
Millichap, Christian, Salinas, Fabian
Publikováno v:
Graphs and Combinatorics, vol. 38, Article number 87 (2022)
In this paper, we analyze embeddings of grid graphs on orientable surfaces. We determine the genus of a large class of k-dimensional grid graphs and effective two-sided bounds for the genus of any 3-dimensional grid graph, both in terms of a grid gra
Externí odkaz:
http://arxiv.org/abs/2104.12270
Autor:
Chesebro, Eric, DeBlois, Jason, Hoffman, Neil R, Millichap, Christian, Mondal, Priyadip, Worden, William
Neumann and Reid conjecture that there are exactly three knot complements which admit hidden symmetries. This paper establishes several results that provide evidence for the conjecture. Our main technical tools provide obstructions to having infinite
Externí odkaz:
http://arxiv.org/abs/2009.14765
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 601-656
In this paper we analyze symmetries, hidden symmetries, and commensurability classes of $(\epsilon, d_L)$-twisted knot complements, which are the complements of knots that have a sufficiently large number of twists in each of their twist regions. The
Externí odkaz:
http://arxiv.org/abs/1909.10571
Publikováno v:
New York Journal of Mathematics, 26 (2020) 149-183
This paper examines number theoretic and topological properties of fully augmented pretzel link complements. In particular, we determine exactly when these link complements are arithmetic and exactly which are commensurable with one another. We show
Externí odkaz:
http://arxiv.org/abs/1811.00679
Dissertation/ Thesis
Autor:
Millichap, Christian R.
The main goal of this thesis is to examine the quality of geometric invariants of finite volume hyperbolic 3-manifolds. In particular, we examine how to construct large classes of hyperbolic 3-manifolds that are geometrically similar: they have a num
Externí odkaz:
http://hdl.handle.net/20.500.12613/3284
Publikováno v:
Cryptologia; Nov2024, Vol. 48 Issue 6, p558-573, 16p
