26 citations · 91 across the 7 of their papers we have counts for
7 papers
Boolean decision problems with competing interactions on scale-free networks: Critical thermodynamics
Helmut G. Katzgraber, Katharina Janzen, Creighton K. Thomas
We study the critical behavior of Boolean variables on scale-free networks with competing interactions (Ising spin glasses). Our analytical results for the disorder-network-decay-e…
Critical behavior and universality in Levy spin glasses
Juan Carlos Andresen, Katharina Janzen, Helmut G. Katzgraber
Using large-scale Monte Carlo simulations that combine parallel tempering with specialized cluster updates, we show that Ising spin glasses with Levy-distributed interactions share…
Stability of the replica-symmetric saddle-point in general mean-field spin-glass models
Katharina Janzen, Andreas Engel
Within the replica approach to mean-field spin-glasses the transition from ergodic high-temperature behaviour to the glassy low-temperature phase is marked by the instability of th…
Thermodynamics of the Lévy spin glass
K. Janzen, A. Engel, M. Mézard
We investigate the Lévy glass, a mean-field spin glass model with power-law distributed couplings characterized by a divergent second moment. By combining extensively many small co…
The Levy spin glass transition
K. Janzen, A. Engel, M. Mézard
We determine the phase transition of the Levy spin glass. A regularized model where the coupling constants smaller than some cutoff are neglected can be studied by the cavity m…
Replica theory for Levy spin glasses
K. Janzen, A. K. Hartmann, A. Engel
Infinite-range spin-glass models with Levy-distributed interactions show a spin-glass transition with similarities to both the Sherrington-Kirkpatrick model and to disordered spin…