Results 61 to 70 of about 1,716 (199)
ABSTRACT Understanding the microscopic relaxation mechanisms in amorphous solids remains a fundamental challenge. A theoretical framework posits that dynamics are mediated by quasivoids: transient, localized quasi‐particles that are the amorphous analogue of crystalline vacancies.
Guan‐Qiang Liu +6 more
wiley +1 more source
Cohomology of $\mathbb{Z}$-local systems on complex hyperplane arrangement complements
We prove a Cohen-Dimca-Orlik type theorem for rank one $\mathbb{Z}$-local systems on complex hyperplane arrangement complements. This settles a recent conjecture of S.
Wang, Botong +2 more
core
Some structure theorems for Weingarten surfaces
Abstract Let M⊂R3$M\subset \mathbb {R}^3$ be a properly embedded, connected, complete surface with boundary a convex planar curve C$C$, satisfying an elliptic equation H=f(H2−K)$H=f(H^2-K)$, where H$H$ and K$K$ are the mean and the Gauss curvature, respectively—which we will refer to as Weingarten equation.
Angelo Benedetti
wiley +1 more source
On free and plus-one generated curves arising from free curves by addition–deletion of a line
In a recent paper, after introducing the notion of plus-one generated hyperplane arrangements, Takuro Abe has shown that if we add (respectively, delete) a line to (respectively, from) a free line arrangement, then the resulting line arrangement is ...
Alexandru Dimca
doaj +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
For a reduced hyperplane arrangement, we prove the analytic Twisted Logarithmic Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights defining the twist.
Daniel Bath
doaj +1 more source
On the two variable distance enumerator of the Shi hyperplane arrangement
We give an interpretation for the coefficients of the two variable refinement DSn(q,t) of the distance enumerator of the Shi hyperplane arrangement Sn in n dimensions. This two variable refinement was defined by Stanley in [R.P.
Sivasubramanian, Sivaramakrishnan
core +1 more source
ABSTRACT In order to reflect the actual production situation more comprehensively and optimize the production cost, this paper solves the short‐term scheduling optimization problem for a single pipeline containing high melting point crude oil. Based on the refining plan given by the upper layer, a multi‐objective optimization model with high melting ...
Jing Yao +5 more
wiley +1 more source
EEG Based Decoding of the Perception and Regulation of Taboo Words
ABSTRACT Emotional meaning is often conveyed through language, and certain word categories, such as taboo words, can elicit strong affective responses that may require regulation. While taboo words are socially and psychologically salient, their neural processing remains to be fully explored.
Parisa Ahmadi Ghomroudi +6 more
wiley +1 more source
On the zone of a surface in a hyperplane arrangement [PDF]
For a collection of \(n\) hyperplanes in \(\mathbb{R}^ d\) the complex of all open cells and their lower dimensional faces is called an arrangement. The collection of all those cells which are met by a set \(\sigma\) is called its zone and its complexity is the number of all the faces. Asymptotic estimates for the complexity are given the simplest, for
Boris Aronov +2 more
openaire +1 more source

