Abstract not available

We study the adaptation dynamics of a maladapted asexual population on rugged fitness landscapes with many local fitness peaks. The distribution of beneficial fitness effects is assumed to belong to one of the three extreme ...

Statisticalmechanics is an essential tool to describe the behavior of complex systems ranging frombacterial growth to universe expansion. For a systemin equilibrium, this approach is well established and the stationary ...

We study a continuous time model for the frequency distribution of an infinitely large asexual population in which both beneficial and deleterious mutations occur and fitness is additive. When beneficial mutations are ...

The adaptation dynamics of a population depends on the size and frequency of beneficial mutations, or in other words, the distribution of beneficial fitness effects (DBFE).Whether adaptation happens via many mutations ...

The present state of life on earth is the outcome of millions of years of biological evolution. All organisms evolve to develop traits which make them better suited to their environment. Biological evolution is driven ...

Although mutations drive the evolutionary process, the rates at which the mutations occur are themselves subject to evolutionary forces. Our purpose here is to understand the role of selection and random genetic drift in ...

We consider the adaptation dynamics of an asexual population that walks uphill on a rugged fitness landscape which is endowed with a large number of local fitness peaks. We work in a parameter regime where only those mutants ...

We study the properties of the eigenvalues of real random matrices and their products. It is known that when the matrix elements are Gaussian-distributed independent random variables, the fraction of real eigenvalues tends ...

We consider an exclusion process on a ring in which a particle hops to an empty neighboring site with a rate that depends on the number of vacancies n in front of it. In the steady state, using the well-known mapping of ...