69 citations · 186 across the 4 of their papers we have counts for
6 papers · 1 filter
New Insights from One-Dimensional Spin Glasses
Helmut G. Katzgraber, Alexander K. Hartmann, A. P. Young
The concept of replica symmetry breaking found in the solution of the mean-field Sherrington-Kirkpatrick spin-glass model has been applied to a variety of problems in science rangi…
RNA Secondary Structures: Complex Statics and Glassy Dynamics
S. Wolfsheimer, B. Burghardt, A. Mann +1
Models for RNA secondary structures (the topology of folded RNA) without pseudo knots are disordered systems with a complex state-space below a critical temperature. Hence, a compl…
Droplets in the two-dimensional +-J spin glass: evidence for (non-) universality
A. K. Hartmann
Using mappings to computer-science problems and by applying sophisticated algorithms, one can study numerically many problems much better compared to applying standard approaches l…
Clustering analysis of the ground-state structure of the vertex-cover problem
Wolfgang Barthel, Alexander K. Hartmann
Vertex cover is one of the classical NP-complete problems in theoretical computer science. A vertex cover of a graph is a subset of vertices such that for each edge at least one of…
Finding Low-Temperature States with Parallel Tempering, Simulated Annealing and Simple Monte Carlo
J. J. Moreno, H. G. Katzgraber, Alexander K. Hartmann
Monte Carlo simulation techniques, like simulated annealing and parallel tempering, are often used to evaluate low-temperature properties and find ground states of disordered syste…
Analysis of the statistical behavior of genetic cluster-exact approximation
Alexander K. Hartmann
The genetic cluster-exact approximation algorithm is an efficient method to calculate ground states of EA spin glasses. The method can be used to study ground-state landscapes by c…