We study biological evolution in a high-dimensional genotype space in the regime of rare
mutations and strong selection. The population performs an uphill walk which terminates at …

We consider a population of genotype sequences evolving on a rugged fitness landscape
with many local fitness peaks. The population walks uphill until it encounters a local fitness …

Several recent theoretical studies of the genetics of adaptation have focused on the
mutational landscape model, which considers evolution on rugged fitness landscapes (ie …

For asexual organisms point mutations correspond to local displacements in the genotypic
space, while other genotypic rearrangements represent long-range jumps. We investigate …

We consider the evolutionary trajectories traced out by an infinite population undergoing
mutation–selection dynamics in static, uncorrelated random fitness landscapes. Starting …

We study adaptation of a haploid asexual population on a fitness landscape defined over
binary genotype sequences of length L. We consider greedy adaptive walks in which the …

The distribution of the selection coefficients of beneficial mutations is pivotal to the study of
the adaptive process, both at the organismal level (theories of adaptation) and at the gene …

Kaufman's NK model for genetic evolution and adaption is analyzed for for K= N-1. In this
case it describes adaptive walks on random fitness landscapes, and its dynamics is …

We consider the evolution of large but finite populations on arbitrary fitness landscapes. We
describe the evolutionary process by a Markov-Moran process. We show that to O (1/N), the …

We examine properties of adaptive walks on uncorrelated (ie random) fitness landscapes
starting from moderately fit genotypes under strong selection weak mutation. As an …