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SUMMARY:Evolution of triangulations: Hausdorff and spectral dimensions
DTSTART:20181126T110000
DTEND:20181126T120000
DTSTAMP:20260921T013845Z
UID:48d6aa940b68cef8577a40a868cee40df8f2ac97fd8a38680fe7fa46
CATEGORIES:Conferences - Seminars
DESCRIPTION:José Fernando Mendes (University of Aveiro)\nHow complex netw
 orks formed by triangulations and higher-dimensional simplicial complexes 
 can represent closed evolving manifolds [1]. In particular\, for triangula
 tions\, the set of possible transformations of these networks is restricte
 d by the condition that at each step\, all the faces must be triangles\, w
 hich is the key constraint in this theory. Stochastic application of these
  operations leads to random networks with different architectures. I will 
 show how geometries of growing and equilibrium complex networks generated 
 by these transformations and their local structural properties can be desc
 ribed. This characterisation includes the Hausdorff and spectral dimension
 s of the resulting networks\, their degree distributions\, and various str
 uctural correlations. The results reveal a rich zoo of architectures and g
 eometries of these networks\, some of which appear to be small worlds whil
 e others are finite-dimensional with a wide spectrum of Hausdorff and spec
 tral dimensions. \n\n[1] D. C. da Silva\, G. Bianconi\, R. A. da Costa\, 
 S. N. Dorogovtsev\, and J. F. F. Mendes\, Complex network view of evolving
  manifolds\, Phys. Rev. E 97\, 032316 (2018).
LOCATION:MA A1 10 https://plan.epfl.ch/?room=MAA110
STATUS:CONFIRMED
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