On right-angled spherical Artin monoid of type Dn

Autor: Iqbal Zaffar, Nizami Abdul Rauf, Munir Mobeen, Rabia Amlish, Kang Shin Min

Publikováno v: Open Physics, Vol 16, Iss 1, Pp 441-447 (2018)

Recently Berceanu and Iqbal proved that the growth rate of all the spherical Artin monoids is bounded above by 4. In this paper we compute the Hilbert series of the right-angled spherical Artin monoid M(Dn∞)$\begin{array}{} M({D}^{\infty}_{n}) \end

Externí odkaz: https://doaj.org/article/4f321879f2a6487296ac519a2f1f8848

Network Distance-Based Simulated Annealing and Fuzzy Clustering for Sensor Placement Ensuring Observability and Minimal Relative Degree

Autor: Ágnes Vathy-Fogarassy, János Abonyi, Dániel Leitold

Publikováno v: Sensors, Vol 18, Iss 9, p 3096 (2018)
Sensors
Volume 18
Issue 9
BASE-Bielefeld Academic Search Engine
Sensors (Basel, Switzerland)

Network science-based analysis of the observability of dynamical systems has been a focus of attention over the past five years. The maximum matching-based approach provides a simple tool to determine the minimum number of sensors and their positions

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c24c9936112db9e53452e31c9ed74c45
http://www.mdpi.com/1424-8220/18/9/3096

Homotopy of the classical configuration space for the two-magnon sector of a magnetic Heisenberg ring

Autor: Dorota Jakubczyk, Barbara Lulek

Publikováno v: Open Physics, Vol 1, Iss 1, Pp 132-144 (2003)

A finite Heisenberg magnetic ring with an arbitrary single-node spin and two spin deviations from the ferromagnetic saturation is considered as the system of two Bethe pseudoparticles. The set of all relevant magnetic configurations spans a surface w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::131c9c640c09cf4effaed7da5132846a
https://doaj.org/article/a078d754b3de40d79cb792c605374604

On the mean Euler characteristic and mean Betti’s numbers of the Ising model with arbitrary spin

Autor: Christophe Dobrovolny, Daniel Gandolfo, Jean Ruiz, Philippe Blanchard

Publikováno v: Journal of Statistical Mechanics: Theory and Experiment
Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2006
Journal of Statistical Mechanics: Theory and Experiment, 2006

The behaviour of the mean Euler-Poincar\'{e} characteristic and mean Betti's numbers in the Ising model with arbitrary spin on $\mathbbm{Z}^2$ as functions of the temperature is investigated through intensive Monte Carlo simulations. We also consider

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::143f1872a7e00d0a2bfaf3a03189799d
https://doi.org/10.1088/1742-5468/2006/03/p03011