hyperbolic graphs
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2021 ◽  
Vol 389 ◽  
pp. 107908
Author(s):  
Shi-Lei Kong ◽  
Ka-Sing Lau ◽  
Xiang-Yang Wang


2021 ◽  
Vol 49 (3) ◽  
Author(s):  
Amitai Linker ◽  
Dieter Mitsche ◽  
Bruno Schapira ◽  
Daniel Valesin


2021 ◽  
Vol 144 ◽  
pp. 110720
Author(s):  
Maja Duh ◽  
Marko Gosak ◽  
Matjaž Perc


2020 ◽  
Vol 343 (11) ◽  
pp. 112094
Author(s):  
Rosalio Reyes ◽  
José M. Rodríguez ◽  
José M. Sigarreta ◽  
María Villeta
Keyword(s):  


2020 ◽  
Vol 112 ◽  
pp. 50-65
Author(s):  
Feodor F. Dragan ◽  
Heather M. Guarnera
Keyword(s):  


2020 ◽  
pp. 1-13
Author(s):  
Valeriia Gladkova ◽  
Verna Shum

We continue the exploration of the relationship between conformal dimension and the separation profile by computing the separation of families of spheres in hyperbolic graphs whose boundaries are standard Sierpiński carpets and Menger sponges. In all cases, we show that the separation of these spheres is [Formula: see text] for some [Formula: see text] which is strictly smaller than the conformal dimension, in contrast to the case of rank 1 symmetric spaces of dimension [Formula: see text]. The value of [Formula: see text] obtained naturally corresponds to a previously known lower bound on the conformal dimension of the associated fractal.



Author(s):  
Zalan Heszberger ◽  
Jozsef Biro ◽  
Andras Gulyas ◽  
Laszlo Balazs ◽  
Andras Biro
Keyword(s):  


2019 ◽  
Vol 29 (3) ◽  
pp. 766-810 ◽  
Author(s):  
Tom Hutchcroft
Keyword(s):  


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