Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the
minimum of a set of random variables. This is an important problem for any time-series and …

The concept of a fitness landscape is a powerful metaphor that offers insight into various
aspects of evolutionary processes and guidance for the study of evolution. Until recently …

For a quantitative understanding of the process of adaptation, we need to understand its
“raw material,” that is, the frequency and fitness effects of beneficial mutations. At present …

Much of the current theory of adaptation is based on Gillespie's mutational landscape model
(MLM), which assumes that the fitness values of genotypes linked by single mutational steps …

The fitness landscape encodes the mapping of genotypes to fitness and provides a succinct
representation of possible trajectories followed by an evolving population. Evolutionary …

We present an exact solution for the probability density function P (τ= t min-t max| T) of the
time difference between the minimum and the maximum of a one-dimensional Brownian …

Kauffman's NK-model is a paradigmatic example of a class of stochastic models of genotypic
fitness landscapes that aim to capture generic features of epistatic interactions in multilocus …

Fitness landscapes are genotype to fitness mappings commonly used in evolutionary
biology and computer science which are closely related to spin glass models. In this paper …

The landscape paradigm is revisited in the light of evolution in simple systems. A brief
overview of different classes of fitness landscapes is followed by a more detailed discussion …

A fitness landscape is a mapping from the space of genetic sequences, which is modeled
here as a binary hypercube of dimension L, to the real numbers. We consider random …