Ancestral lines in population models with interaction (C01)

• Subject Area: Mathematics
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226

The aim of the proposed project is to investigate genealogies and more general ancestral structures in a wide class of population models with interaction, and a wide class of scaling regimes. We will consider multiple genetic sites with recombination between them as well as multiple types at any given site, under the action of selection and mutation. We will develop ancestral graphs and dualities and investigate scaling regimes that are intermediate between the classical ones, that is, the law of large numbers and the diffusion limit.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1283: Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
• International Connection: Austria
• Applicant Institution: Universität Bielefeld
• Project Heads: Professorin Dr. Ellen Baake; Privatdozent Dr. Fernando Cordero