2.3k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU90 papers
- Centre National de la Recherche ScientifiqueFR42 papers
- Ioffe InstituteRU36 papers
- University of OsloNO36 papers
- Petersburg Nuclear Physics InstituteRU31 papers
- University of AveiroPT29 papers
- Karlsruhe Institute of TechnologyDE21 papers
- Argonne National LaboratoryUS19 papers
- Peter the Great St. Petersburg Polytechnic UniversityRU19 papers
- University of RegensburgDE19 papers
- Hebrew University of JerusalemIL15 papers
- St Petersburg UniversityRU14 papers
28 papers · 1 filter
The nature of hypergraph -core percolation problems
Ginestra Bianconi, Sergey N. Dorogovtsev
Hypergraphs are higher-order networks that capture the interactions between two or more nodes. Hypergraphs can always be represented by factor graphs, i.e. bipartite networks betwe…
The spectral dimension of simplicial complexes: a renormalization group theory
Ginestra Bianconi, Sergey N. Dorogovtsev
Simplicial complexes are increasingly used to study complex system structure and dynamics including diffusion, synchronization and epidemic spreading. The spectral dimension of the…
Sensitivity of anomalous Hall effect to disorder correlations
I. A. Ado, I. A. Dmitriev, P. M. Ostrovsky +1
Both longitudinal and anomalous Hall conductivity are computed in the model of two-dimensional Dirac fermions with a mass in the presence of arbitrary correlated weak disorder. The…
Finite-time scaling at the Anderson transition for vibrations in solids
Y. M. Beltukov, S. E. Skipetrov
A model in which a three-dimensional elastic medium is represented by a network of identical masses connected by springs of random strengths and allowed to vibrate only along a sel…
Sensitivity of directed networks to the addition and pruning of edges and vertices
A. V. Goltsev, G. Timár, J. F. F. Mendes
We study the sensitivity of directed complex networks to the addition and pruning of edges and vertices and introduce the susceptibility, which quantifies this sensitivity. We show…
A unified approach to percolation processes on multiplex networks
G. J. Baxter, D. Cellai, S. N. Dorogovtsev +2
Many real complex systems cannot be represented by a single network, but due to multiple sub-systems and types of interactions, must be represented as a multiplex network. This is…
Spin excitations in systems with hopping electron transport and strong position disorder in a large magnetic field
A. V. Shumilin
We discuss the spin excitations in systems with hopping electron conduction and strong position disorder. We focus on the problem in a strong magnetic field when the spin Hamiltoni…
Mapping the Structure of Directed Networks: Beyond the "Bow-tie" Diagram
G. Timár, A. V. Goltsev, S. N. Dorogovtsev +1
We reveal a hierarchical, multilayer organization of finite components -- i.e., tendrils and tubes -- around the giant connected components in directed networks and propose efficie…
Inverting the Achlioptas rule for explosive percolation
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
In the usual Achlioptas processes the smallest clusters of a few randomly chosen ones are selected to merge together at each step. The resulting aggregation process leads to the de…
Solution of the explosive percolation quest. II. Infinite-order transition produced by the initial distributions of clusters
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
We describe the effect of power-law initial distributions of clusters on ordinary percolation and its generalizations, specifically, models of explosive percolation processes based…
k-Core percolation on multiplex networks
N. Azimi-Tafreshi, J. Gomez-Gardenes, S. N. Dorogovtsev
We generalize the theory of k-core percolation on complex networks to k-core percolation on multiplex networks, where k=(k_a, k_b, ...). Multiplex networks can be defined as networ…
Solution of the explosive percolation quest: Scaling functions and critical exponents
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
Percolation refers to the emergence of a giant connected cluster in a disordered system when the number of connections between nodes exceeds a critical value. The percolation phase…
Impact of noise and damage on collective dynamics of scale-free neuronal networks
D. Holstein, A. V. Goltsev, J. F. F. Mendes
We study the role of scale-free structure and noise in collective dynamics of neuronal networks. For this purpose, we simulate and study analytically a cortical circuit model with…
Kuramoto model with frequency-degree correlations on complex networks
B. C. Coutinho, A. V. Goltsev, S. N. Dorogovtsev +1
We study the Kuramoto model on complex networks, in which natural frequencies of phase oscillators and the vertex degrees are correlated. Using the annealed network approximation a…
The Ioffe-Regel criterion and diffusion of vibrations in random lattices
Y. M. Beltukov, V. I. Kozub, D. A. Parshin
We consider diffusion of vibrations in 3d harmonic lattices with strong force-constant disorder. Above some frequency w_IR, corresponding to the Ioffe-Regel crossover, notion of ph…
Coulomb Glasses: A Comparison Between Mean Field and Monte Carlo Results
E. Bardalen, J. Bergli, Y. M. Galperin
Recently a local mean field theory for both eqilibrium and transport properties of the Coulomb glass was proposed [A. Amir et al., Phys. Rev. B 77, 165207 (2008); 80, 245214 (2009)…
Logarithmic relaxation and stress aging in the electron glass
J. Bergli, Y. M. Galperin
Slow relaxation and aging of the conductance are experimental features of a range of materials, which are collectively known as electron glasses. We report dynamic Monte Carlo simu…
Slow relaxation of magnetoresistance in doped p -GaAs/AlGaAs layers with partially filled upper Hubbard band
N. V. Agrinskaya, V. I. Kozub, D. V. Shamshur +1
We observed slow relaxation of magnetoresistance in quantum well structures GaAs-AlGaAs with a selective doping of both wells and barrier regions which allowed partial filling of t…
Memory effects in transport through a hopping insulator: Understanding two-dip experiments
V. I. Kozub, Y. M. Galperin, V. Vinokur +1
We discuss memory effects in the conductance of hopping insulators due to slow rearrangements of many-electron clusters leading to formation of polarons close to the electron hoppi…
Magnetotransport of electrons in quantum Hall systems
I. A. Dmitriev, F. Evers, I. V. Gornyi +3
Recent theoretical results on magnetotransport of electrons in a 2D system in the range of moderately strong transverse magnetic fields are reviewed. The phenomena discussed includ…
The tensor of interaction of a two-level system with an arbitrary strain field
D. V. Anghel, T. Kühn, Y. M. Galperin +1
The interaction between two-level systems (TLS) and strain fields in a solid is contained in the diagonal matrix element of the interaction hamiltonian, , which, in general, has…
Sharp Magnetic Field Dependence of the 2D Hall Coefficient Induced by Classical Memory Effects
A. P. Dmitriev, V. Yu. Kachorovskii
We show that a sharp dependence of the Hall coefficient on the magnetic field arises in two-dimensional electron systems with randomly located strong scatterers. The phenom…
Slow relaxation of conductance of amorphous hopping insulators
A. L. Burin, V. I. Kozub, Y. M. Galperin +1
We discuss memory effects in the conductance of hopping insulators due to slow rearrangements of structural defects leading to formation of polarons close to the electron hopping s…
Intervalley scattering and weak localization in Si-based two-dimensional structures
A. Yu. Kuntsevich, N. N. Klimov, S. A. Tarasenko +4
We have measured the weak localization magnetoresistance in (001)-oriented Si MOS structures with a wide range of mobilities. For the quantitative analysis of the data, we have ext…