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Any 2-bridge knot in the 3-sphere has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotopy.

几何拓扑 · 数学 2007-05-23 Martin Scharlemann , Maggy Tomova

We introduce bridge trisections of knotted surfaces in the four-sphere. This description is inspired by the work of Gay and Kirby on trisections of four-manifolds and extends the classical concept of bridge splittings of links in the…

几何拓扑 · 数学 2017-08-10 Jeffrey Meier , Alexander Zupan

In this paper, we provide constructions to enumerate large numbers of CI-liaison classes. To this end, we introduce a liaison invariant and prove several results concerning it, notably that it commutes with hypersurface sections. This…

交换代数 · 数学 2014-11-14 Mark Johnson , Paolo Mantero

This paper considers a two-hop interference network, where two users transmit independent messages to their respective receivers with the help of two relay nodes. The transmitters do not have direct links to the receivers; instead, two…

信息论 · 计算机科学 2009-10-09 Yi Cao , Biao Chen

We investigate theoretically charge transport in hybrid multiterminal junctions with superconducting leads kept at different voltages. It is found that multiple Andreev reflections involving several superconducting leads give rise to rich…

介观与纳米尺度物理 · 物理学 2011-04-21 M. Houzet , P. Samuelsson

This is a first paper in convex analysis dedicated to the bipotential theory, based on an extension of Fenchel's inequality. Introduced by the second author, bipotentials lead to a succesful new treatment of the constitutive laws of some…

泛函分析 · 数学 2019-02-18 Marius Buliga , Gery de Saxce , Claude Vallee

Previous work used polygonal realizations of knots to reduce the problem of computing the superbridge number of a realization to a linear programming problem, leading to new sharp upper bounds on the superbridge index of a number of knots.…

几何拓扑 · 数学 2022-11-14 Clayton Shonkwiler

The focus of this paper is on the analysis of a semi-infinite crack lying along a perfect interface in a piezoelectric bimaterial with arbitrary loading on the crack faces. Making use of the extended Stroh formalism for piezoelectric…

数学物理 · 物理学 2016-10-12 L. Pryce , L. Morini , D. Andreeva , A. Zagnetko

The problem of realizing a given degree sequence by a multigraph can be thought of as a relaxation of the classical degree realization problem (where the realizing graph is simple). This paper concerns the case where the realizing…

组合数学 · 数学 2026-01-14 Amotz Bar-Noy , Toni Bohnlein , David Peleg , Dror Rawitz

We have studied the problem of coherent and sequential tunneling through a double barrier structure, assisted by light considered to be present All over the structure, i,e emitter, well and collector as in the experimental evidence. By…

凝聚态物理 · 物理学 2009-10-22 J. Inarrea , G. Platero , C. Tejedor

We explore more the properties of bipartite knots and its rich combinatorial structure.

几何拓扑 · 数学 2021-04-01 Alina Pavlikova

A new traceability chain for the derivation of the farad from dc quantum Hall effect has been implemented at INRIM. Main components of the chain are two new coaxial transformer bridges: a resistance ratio bridge, and a quadrature bridge,…

仪器与探测器 · 物理学 2015-05-18 Luca Callegaro , Vincenzo D'Elia , Bruno Trinchera

A new error bound which is better than the current exponential-type error bound is presented in this paper.

数值分析 · 数学 2007-12-06 Lin-Tian Luh

An input-output model for networks with link uncertainty is developed. The main result presents a set of integral quadratic constraints (IQCs) that collectively imply robust stability of the uncertain network dynamics. The model dependency…

系统与控制 · 电气工程与系统科学 2025-12-25 Simone Mariano , Chung-Yao Kao , Michael Cantoni

One of the important features of an interconnection network is its ability to efficiently simulate programs or parallel algorithms written for other architectures. Such a simulation problem can be mathematically formulated as a graph…

We show that band-structure effects are likely to prevent superfluidity in semiconductor electron-hole double-layer systems. We suggest the possibility that superfluidity could be realized by the application of uniaxial pressure…

凝聚态物理 · 物理学 2018-05-01 Sergio Conti , Giovanni Vignale , A. H. MacDonald

A nonstandard (maximal) inclusion SO(3) in SO(5) associated with the irreducible representation \rho_5 of SO(3) in R^5 is considered. The topological obstructions for admitting the SO(3) structure on the frame bundle over 5-manifold are…

微分几何 · 数学 2007-05-23 Marcin Bobienski

In this paper we consider graphs whose edges are associated with a degree of {\em importance}, which may depend on the type of connections they represent or on how recently they appeared in the scene, in a streaming setting. The goal is to…

数据结构与算法 · 计算机科学 2017-07-24 Patrizio Angelini , Michael A. Bekos

This is the sequel to our first paper concerning the balanced embedding of a non-compact complex manifold into an infinite-dimensional projective space. We prove the uniqueness of such an embedding. The proof relies on fine estimates of the…

复变函数 · 数学 2023-11-21 Jingzhou Sun

Article explicitly expresses Subgraph Isomorphism by a polynomial size asymmetric linear system.

离散数学 · 计算机科学 2008-11-10 Sergey Gubin