To gauge the relative importance of contingency and determinism in evolution is a
fundamental problem that continues to motivate much theoretical and empirical research. In …

It is shown that statistics of records for time series generated by random walks are
independent of the details of the jump distribution, as long as the latter is continuous and …

The nature of epistasis has important consequences for the evolutionary significance of sex
and recombination. Recent efforts to find negative epistasis as a source of negative linkage …

We theoretically study the statistics of record-breaking daily temperatures and validate these
predictions using both Monte Carlo simulations and 126 years of available data from the city …

Recent experimental and theoretical studies have shown that small asexual populations
evolving on complex fitness landscapes may achieve a higher fitness than large ones due to …

We study the adaptation dynamics of an initially maladapted asexual population with
genotypes represented by binary sequences of length L. The population evolves in a …

Is evolution always gradual or can it make leaps? We examine a mathematical model of an
evolutionary process on a fitness landscape and obtain analytic solutions for the probability …

Can one understand the statistics of wins and losses of baseball teams? Are their
consecutive-game winning and losing streaks self-reinforcing or can they be described …

We consider the evolution of an asexually reproducing population in an uncorrelated
random fitness landscape in the limit of infinite genome size, which implies that each …

We explore some aspects of the relationship between biological evolution processes and
the mathematical theory of records. For Eigen's quasispecies model with an uncorrelated …