Evolutionary landscapes and retrospective processes
Evolutionary landscapes and retrospective processes
- Datum: 06.12.2021
- Uhrzeit: 15:00
- Vortragende(r): Dr. Matteo Smerlak, Max-Planck Institute for Mathematics in the Sciences, Leipzig
- Ort: virtual platform
- Gastgeber: Silvia De Monte
- Kontakt: demonte@evolbio.mpg.de
Like other processes across the sciences, micro-evolution is
powered by the interaction of multiplicative growth
(selection) and diffusive transport (mutations). In the
presence of disorder, these opposing forces can generate
localized structures and bursty dynamics, a phenomenon known
as "intermittency" in non-equilibrium physics and as
"punctuated equilibrium" in evolutionary theory. This
behaviour is difficult to forecast; in particular there is no
general principle to locate the regions where the system will
settle, how long it will stay there, or where it will jump
next. In this talk I will introduce a Markovian representation
of growth-transport dynamics that closes these gaps. This
“retrospective view” of evolution unifies the concepts of
linear intermittency and metastability, and provides a
generally applicable method to reduce, and predict, the
dynamics of disordered linear systems. Applications range from
Zeld'dovich's parabolic Anderson model to Eigen's quasispecies
model of molecular evolution.