79 citations · 887 across the 44 of their papers we have counts for
9 papers · 1 filter
Large systems of random linear equations with non-negative solutions: Characterizing the solvable and unsolvable phase
Stefan Landmann, Andreas Engel
Large systems of linear equations are ubiquitous in science. Quite often, e.g. when considering population dynamics or chemical networks, the solutions must be non-negative. Recent…
On non-negative solutions to large systems of random linear equations
Stefan Landmann, Andreas Engel
Systems of random linear equations may or may not have solutions with all components being non-negative. The question is, e.g., of relevance when the unknowns are concentrations or…
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…
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…
Replica mean-field theory for Levy spin-glasses
A. Engel
Infinite-range spin-glass models with Levy-distributed interactions show a freezing transition similar to disordered spin systems on finite connectivity random graphs. It is shown…