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Finite-Size Corrections for Ground States of Edwards-Anderson Spin Glasses
Stefan Boettcher, Stefan Falkner
Extensive computations of ground state energies of the Edwards-Anderson spin glass on bond-diluted, hypercubic lattices are conducted in dimensions d=3,..,7. Results are presented…
Ordinary Percolation with Discontinuous Transitions
S. Boettcher, V. Singh, R. M. Ziff
Percolation on a one-dimensional lattice and fractals such as the Sierpinski gasket is typically considered to be trivial because they percolate only at full bond density. By dress…
Optimal Vertex Cover for the Small-World Hanoi Networks
S. Boettcher, A. K. Hartmann
The vertex-cover problem on the Hanoi networks HN3 and HN5 is analyzed with an exact renormalization group and parallel-tempering Monte Carlo simulations. The grand canonical parti…
Accumulation of beneficial mutations in one dimension
Jakub Otwinowski, Stefan Boettcher
When beneficial mutations are relatively common, competition between multiple unfixed mutations can reduce the rate of fixation in well-mixed asexual populations. We introduce a on…
Ground States of the Sherrington-Kirkpatrick Spin Glass with Levy Bonds
S. Boettcher
Ground states of Ising spin glasses on fully connected graphs are studied for a broadly distributed bond family. In particular, bonds distributed according to a Levy distributi…