Results 91 to 100 of about 351,042 (257)
Index theory and noncommutative geometry of topological insulator [PDF]
In this chapter, we report the recent progress in the understanding of the rich mathematical structures of topological insulators in the framework of index theory and noncommutative geometry.
arxiv
Causal chain event graphs for remedial maintenance
Abstract The analysis of system reliability has often benefited from graphical tools such as fault trees and Bayesian networks. In this article, instead of conventional graphical tools, we apply a probabilistic graphical model called the chain event graph (CEG) to represent the failures and processes of deterioration of a system.
Xuewen Yu, Jim Q. Smith
wiley +1 more source
Negative dimension in general and asymptotic topology [PDF]
We introduce the notion of negative topological dimension and the notion of weight for the asymptotic topological dimension. Quantizing of spaces of negative dimension is applied to linguistic statistics.
arxiv
Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology) [PDF]
M. Ozawa
semanticscholar +1 more source
Abstract Localization of faults in a large power system is one of the most important and difficult tasks of power systems monitoring. A fault, typically a shorted line, can be seen almost instantaneously by all measurement devices throughout the system, but determining its location in a geographically vast and topologically complex system is difficult.
Mantautas Rimkus+4 more
wiley +1 more source
Conditional Aalen–Johansen estimation
Abstract The conditional Aalen–Johansen estimator, a general‐purpose nonparametric estimator of conditional state occupation probabilities, is introduced. The estimator is applicable for any finite‐state jump process and supports conditioning on external as well as internal covariate information.
Martin Bladt, Christian Furrer
wiley +1 more source
Road traffic estimation and algorithmic routing in a spatially dependent network
ABSTRACT This work concerns a procedure to estimate the joint distribution of the per‐edge travel times in a road traffic network with spatial dependence. The constructed estimator, based on the realized travel times of a collection of independently operating probe vehicles traversing the network, is shown to be consistent and rate‐optimal.
Rens Kamphuis+2 more
wiley +1 more source
A higher dimensional version of Fáry's theorem
Abstract We prove a generalization of István Fáry's celebrated theorem to higher dimensions. Namely, we show that if a finite simplicial complex X$X$ can be piecewise linearly embedded into a d$d$‐dimensional PL manifold M$M$, then there is a triangulation of M$M$ containing X$X$ as a subcomplex.
Karim Adiprasito, Zuzana Patáková
wiley +1 more source
The Hilton–Milnor theorem in higher topoi
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source
Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture
Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley +1 more source