scholarly journals Parametrized topological complexity of poset-stratified spaces

2021 ◽  
Author(s):  
Kohei Tanaka
Keyword(s):  
Topological Complexity ◽  
Stratified Spaces

scholarly journals Harmonic forms and cohomology of singular stratified spaces

2007 ◽  
Vol 131 (5) ◽  
pp. 422-456
Author(s):  
Vincenzo Ancona ◽  
Bernard Gaveau ◽  
Masami Okada
Keyword(s):  
Harmonic Forms ◽  
Stratified Spaces

Dehydration-driven evolution of topological complexity in ethylamonium uranyl selenates

2017 ◽  
Vol 247 ◽  
pp. 105-112 ◽  
Author(s):  
Vladislav V. Gurzhiy ◽  
Sergey V. Krivovichev ◽  
Ivan G. Tananaev
Keyword(s):  
Topological Complexity

scholarly journals Orbispaces as differentiable stratified spaces

2017 ◽  
Vol 108 (3) ◽  
pp. 805-859 ◽  
Author(s):  
Marius Crainic ◽  
João Nuno Mestre
Keyword(s):  
Stratified Spaces

scholarly journals The stratified spaces of a symplectic lie group action

2006 ◽  
Vol 58 (1) ◽  
pp. 51-75 ◽  
Author(s):  
Juan-Pablo Ortega ◽  
Tudor S. Ratiu
Keyword(s):  
Group Action ◽  
Lie Group ◽  
Stratified Spaces ◽  
Lie Group Action

scholarly journals Topological complexity of frictional interfaces: friction networks

2012 ◽  
Vol 19 (2) ◽  
pp. 215-225 ◽  
Author(s):  
H. O. Ghaffari ◽  
R. P. Young
Keyword(s):  
Topological Complexity ◽  
Type Ii ◽  
Stored Energy ◽  
Fracture Permeability ◽  
Radiated Energy ◽  
Universal Power Law ◽  
Shear Rupture ◽  
Crack Type ◽  
Network Properties ◽  
Highly Correlated

Abstract. Through research conducted in this study, a network approach to the correlation patterns of void spaces in rough fractures (crack type II) was developed. We characterized friction networks with several networks characteristics. The correlation among network properties with the fracture permeability is the result of friction networks. The revealed hubs in the complex aperture networks confirmed the importance of highly correlated groups to conduct the highlighted features of the dynamical aperture field. We found that there is a universal power law between the nodes' degree and motifs frequency (for triangles it reads T(k) ∝ kβ (β ≈ 2 ± 0.3)). The investigation of localization effects on eigenvectors shows a remarkable difference in parallel and perpendicular aperture patches. Furthermore, we estimate the rate of stored energy in asperities so that we found that the rate of radiated energy is higher in parallel friction networks than it is in transverse directions. The final part of our research highlights 4 point sub-graph distribution and its correlation with fluid flow. For shear rupture, we observed a similar trend in sub-graph distribution, resulting from parallel and transversal aperture profiles (a superfamily phenomenon).

scholarly journals On the domain of Dirac and Laplace type operators on stratified spaces

2018 ◽  
Vol 8 (4) ◽  
pp. 1295-1348
Author(s):  
Luiz Hartmann ◽  
Matthias Lesch ◽  
Boris Vertman
Keyword(s):  
Stratified Spaces ◽  
Laplace Type
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