27 citations · 138 across the 20 of their papers we have counts for
20 papers
Metric structural human connectomes: localization and multifractality of eigenmodes
Anna Bobyleva, Alexander Gorsky, Sergei Nechaev +2
In this study, we explore the fundamental principles behind the architecture of the human brain's structural connectome, from the perspective of spectral analysis of Laplacian and…
Robust extended states in Anderson model on partially disordered random regular graphs
Daniil Kochergin, Ivan M. Khaymovich, Olga Valba +1
In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction of the sites being dis…
Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
Daniil Kochergin, Ivan M. Khaymovich, Olga Valba +1
We consider the properties of the random regular graph with node degree perturbed by chemical potentials for a number of short -cycles. We analyze both numerically and…
Interaction of functional brain networks is formed by k-clique percolation in the human structural connectome
V. Tiselko, O. Dogonasheva, A. Myshkin +1
The human structural connectome has a complex internal community organization, characterized by a high degree of overlap and related to functional and cognitive phenomena. We explo…
Mobility Edge in the Anderson model on partially disordered random regular graphs
O. Valba, A. Gorsky
In this Letter we study numerically the Anderson model on partially disordered random regular graphs (RRG) considered as the toy model for a Hilbert space of interacting disordered…
K-clique percolation in free association networks. The mechanism behind the law ?
Olga Valba, Alexander Gorsky
It is important to reveal the mechanisms of propagation in different cognitive networks. In this study we discuss the k-clique percolation phenomenon on the free association networ…