55 citations · 162 across the 8 of their papers we have counts for
8 papers
Localization and top eigenvalue detection
Diego Tapias, Benedikt Grüger, Reimer Kühn +1
The detection of the top eigenvalue and its corresponding eigenvector in ensembles of random matrices has significant applications across various fields. An existing method, based…
Cavity and replica methods for the spectral density of sparse symmetric random matrices
Vito A R Susca, Pierpaolo Vivo, Reimer Kühn
We review the problem of how to compute the spectral density of sparse symmetric random matrices, i.e. weighted adjacency matrices of undirected graphs. Starting from the Edwards-J…
Opinion dynamics with memory: how a society is shaped by its own past
Gioia Boschi, Chiara Cammarota, Reimer Kühn
In order to understand the development of common orientation of opinions in the modern world we propose a model of a society described as a large collection of agents that exchange…
Glassy dynamics on networks: local spectra and return probabilities
Riccardo Giuseppe Margiotta, Reimer Kühn, Peter Sollich
The slow relaxation and aging of glassy systems can be modelled as a Markov process on a simplified rough energy landscape: energy minima where the system tends to get trapped are…
Statistical analysis of articulation points in configuration model networks
Ido Tishby, Ofer Biham, Reimer Kühn +1
An articulation point (AP) in a network is a node whose deletion would split the network component on which it resides into two or more components. APs are vulnerable spots that pl…
Spectral properties of the trap model on sparse networks
Riccardo Giuseppe Margiotta, Reimer Kühn, Peter Sollich
One of the simplest models for the slow relaxation and aging of glasses is the trap model by Bouchaud and others, which represents a system as a point in configuration-space hoppin…
Rare events statistics of random walks on networks: localization and other dynamical phase transitions
Caterina De Bacco, Alberto Guggiola, Reimer Kühn +1
Rare event statistics for random walks on complex networks are investigated using the large deviations formalism. Within this formalism, rare events are realized as typical events…
Equilibrium Ensemble Approach to Disordered Systems I: General Theory, Exact Results
Reimer Kühn
An outline of Morita's equilibrium ensemble approach to disordered systems is given, and hitherto unnoticed relations to other, more conventional approaches in the theory of disord…