Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Kastis, Eleftherios"'
Autor:
Clinch, Katie, Dewar, Sean, Fuladi, Niloufar, Gorsky, Maximilian, Huynh, Tony, Kastis, Eleftherios, Nixon, Anthony, Servatius, Brigitte
Given a triangulation $G$ of a surface $\mathbb{D}$, a spanning disk is a disk $\mathbb{D} \subseteq \mathbb{S}$ containing all the vertices of $G$ such that the boundary of $\mathbb{D}$ is a cycle of $G$. In this paper, we consider the question of w
Externí odkaz:
http://arxiv.org/abs/2410.04450
The concept of graph flattenability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph $G=(V,E)$ is said to
Externí odkaz:
http://arxiv.org/abs/2405.02189
We explore the rigidity of generic frameworks in 3-dimensions whose underlying graph is close to being planar. Specifically we consider apex graphs, edge-apex graphs and their variants and prove independence results in the generic 3-dimensional rigid
Externí odkaz:
http://arxiv.org/abs/2402.17499
A natural problem in combinatorial rigidity theory concerns the determination of the rigidity or flexibility of bar-joint frameworks in $\mathbb{R}^d$ that admit some non-trivial symmetry. When $d=2$ there is a large literature on this topic. In part
Externí odkaz:
http://arxiv.org/abs/2202.09165
We consider the problem of finding an inductive construction, based on vertex splitting, of triangulated spheres with a fixed number of additional edges (braces). We show that for any positive integer $b$ there is such an inductive construction of tr
Externí odkaz:
http://arxiv.org/abs/2107.03829
We prove a variant of the well-known result that intertwiners for the bilateral shift on `$\ell^2(Z)$ are unitarily equivalent to multiplication operators on $L^2(T)$. This enables us to unify and extend fundamental aspects of rigidity theory for bar
Externí odkaz:
http://arxiv.org/abs/2009.08812
Autor:
Kastis, Eleftherios, Power, Stephen
The parabolic algebra A_p is the weakly closed algebra on L^2(R) generated by the unitary semigroup of right translations and the unitary semigroup of multiplication by the analytic exponential functions e^{i\lambda x}, \lambda \geq 0. This algebra i
Externí odkaz:
http://arxiv.org/abs/2006.00307
Autor:
Kastis, Eleftherios, Power, Stephen
It is shown that a simple graph which is embeddable in the real projective plane is minimally 3-rigid if and only if it is (3,6)-tight. Moreover the topologically uncontractible embedded graphs of this type are constructible from one of 8 embedded gr
Externí odkaz:
http://arxiv.org/abs/2003.05514
Autor:
Kastis, Eleftherios
The w*-closed triple semigroup algebra was introduced by Power and the author in [19], where it was proved to be reflexive and to be chiral, in the sense of not being unitarily equivalent to its adjoint algebra. Here an analogous operator norm-closed
Externí odkaz:
http://arxiv.org/abs/1801.10256
Autor:
Kastis, Eleftherios
The parabolic algebra was introduced by Katavolos and Power, in 1997, as the operator algebra acting on $L^2(R)$ that is weakly generated by the translation and multiplication semigroups. In particular, they proved that this algebra is reflexive and
Externí odkaz:
http://arxiv.org/abs/1603.03426