Spectral Property of Self-Affine Measures on $$\pmb {\mathbb {R}^n}$$

2021 ◽  
Vol 27 (5) ◽  
Author(s):  
Zhiyong Wang ◽  
Jingcheng Liu ◽  
Juan Su
Keyword(s):  
2019 ◽  
Vol 165 ◽  
pp. 217-222 ◽  
Author(s):  
Qi Zhao ◽  
Hua Yuan ◽  
Xinming Xu ◽  
Lei Hu ◽  
Peiwei Gong ◽  
...  

2011 ◽  
Vol 105 (1) ◽  
pp. 27-37 ◽  
Author(s):  
Pablo R. Duchowicz ◽  
María V. Mirífico ◽  
María F. Rozas ◽  
José A. Caram ◽  
Francisco M. Fernández ◽  
...  

2014 ◽  
Vol 55 (10) ◽  
pp. 6324 ◽  
Author(s):  
Wentao Li ◽  
Weizhong Lan ◽  
Shiqi Yang ◽  
Yunru Liao ◽  
Qinglin Xu ◽  
...  

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Yazhuo Zhang ◽  
Baodong Zheng

The bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we obtained some effective methods to judge the Schur stability of matrices on the base of the spectral property of compound matrices, which can be used to judge the asymptotical stability and the existence of Hopf bifurcations of discrete dynamical systems.


1998 ◽  
Vol 182 (1-3) ◽  
pp. 101-111 ◽  
Author(s):  
M.A. Fiol ◽  
E. Garriga ◽  
J.L.A. Yebra
Keyword(s):  

2008 ◽  
Vol 2 (2) ◽  
pp. 260-275 ◽  
Author(s):  
Yi-Zheng Fan ◽  
Li Shuang-Dong ◽  
Dong Liang

A generalized Bethe tree is a rooted tree for which the vertices in each level having equal degree. Let Bk be a generalized Bethe tree of k level, and let T r be a connected transitive graph on r vertices. Then we obtain a graph Bk?T r from r copies of Bk and T r by appending r roots to the vertices of T r respectively. In this paper, we give a simple way to characterize the eigenvalues of the adjacency matrix A(Bk ? T r) and the Laplacian matrix L(Bk?T r) of Bk?T r by means of symmetric tridiagonal matrices of order k. We also present some structure properties of the Perron vectors of A(Bk?T r) and the Fiedler vectors of L(Bk ? T r). In addition, we obtain some results on transitive graphs.


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