46 citations · 150 across the 22 of their papers we have counts for
5 papers · 1 filter
Spectral measures and dominant vertices in graphs of bounded degree
Claire Bruchez, Pierre de la Harpe, Tatiana Nagnibeda
A graph of bounded degree has an adjacency operator~ which acts on the Hilbert space . There are different kinds of measures of interest on the spectrum…
Lamplighter groups, de Bruijn graphs, spider-web graphs and their spectra
Rostislav Grigorchuk, Paul-Henry Leemann, Tatiana Nagnibeda
We describe the infinite family of spider-web graphs , , and , studied in physical literature as tensor products of well-known de Brujin…
Weighted Coxeter graphs and generalized geometric representations of Coxeter Groups
Vadim Bugaenko, Yonah Cherniavsky, Tatiana Nagnibeda +1
We introduce the notion of weighted Coxeter graph and associate to it a certain generalization of the standard geometric representation of a Coxeter group. We prove sufficient cond…
Counting dimer coverings on self-similar Schreier graphs
Daniele D'Angeli, Alfredo Donno, Tatiana Nagnibeda
We study partition functions for the dimer model on families of finite graphs converging to infinite self-similar graphs and forming approximation sequences to certain well-known f…
Partition functions of the Ising model on some self-similar Schreier graphs
Daniele D'Angeli, Alfredo Donno, Tatiana Nagnibeda
We study partition functions and thermodynamic limits for the Ising model on three families of finite graphs converging to infinite self-similar graphs. They are provided by three…