Wishful thinking about consciousness
Grindrod, P IgMin Research volume 2 issue 5 302-308 (02 May 2024)
Two Ramsey problems in blowups of graphs
Girão, A Hancock, R European Journal of Combinatorics volume 120 103984 (01 Aug 2024)
Direct products of free groups in Aut(F_N)
Bridson, M Wade, R Geometric and Functional Analysis volume 34 issue 5 1337-1369 (05 Aug 2024)
Assessing aerodynamic influences on offshore foundation design for large wind farms
Wen, K Dehtyriov, D Byrne, B Journal of Physics Conference Series volume 2745 issue 1 (01 Apr 2024)
Simple proofs for lattice coverings and sparse tensors
Karam, T European Journal of Combinatorics 103975 (May 2024)
An Elekes–Rónyai Theorem for Sets With Few Products
Mudgal, A International Mathematics Research Notices rnae087 (06 May 2024)
Tue, 21 May 2024

14:00 - 15:00
C4

Fixation probability and suppressors of natural selection on higher-order networks

Naoki Masuda
(The State University of New York at Buffalo)
Abstract

Population structure substantially affects evolutionary dynamics. Networks that promote the spreading of fitter mutants are called amplifiers of selection, and those that suppress the spreading of fitter mutants are called suppressors of selection. It has been discovered that most networks are amplifiers under the so-called birth-death updating combined with uniform initialization, which is a common condition. We discuss constant-selection evolutionary dynamics with binary node states (which is equivalent to the biased voter model with two opinions in statistical physics research community) on higher-order networks, i.e., hypergraphs, temporal networks, and multilayer networks. In contrast to the case of conventional networks, we show that a vast majority of these higher-order networks are suppressors of selection, which we show by random-walk and Martingale analyses as well as by numerical simulations. Our results suggest that the modeling framework for structured populations in addition to the specific network structure is an important determinant of evolutionary dynamics.
 

Lojasiewicz inequalities for almost harmonic maps near simple bubble trees
Rupflin, M Annales de l’Institut Henri Poincaré, Analyse Non Linéaire volume 42 issue 4 807-850 (28 Jun 2024)
Subscribe to