Week of Events
Applied Math Seminar — Christopher Miles (UC Irvine)
Applied Math Seminar — Christopher Miles (UC Irvine)
Title: Collective motion in the mitotic spindle Abstract: Math models of interacting individuals moving as a collective have been profoundly successful in describing physical and social phenomena ranging from swarming insects to human crowds. Especially in molecular biology, recent advances in machine-learning-based automated tracking have led to droves of new data of collective motion. I’ll discuss two […]
On sparse representation of vectors in lattices and semigroups (Iskander Aliev, Cardiff University)
On sparse representation of vectors in lattices and semigroups (Iskander Aliev, Cardiff University)
We will discuss the sparsity of the solutions to systems of linear Diophantine equations with and without non-negativity constraints. The sparsity of a solution vector is the number of its nonzero entries, which is referred to as the 0-norm of the vector. Our main results are new improved bounds on the minimal 0-norm of solutions […]
Collective Behavior in Locust Swarms from Data to Differential Equations (Prof. Jasper Weinburd)
Collective Behavior in Locust Swarms from Data to Differential Equations (Prof. Jasper Weinburd)
Title: Collective Behavior in Locust Swarms from Data to Differential Equations Prof. Jasper Weinburd Department of Mathematics Harvey Mudd College Abstract: Locusts are devastating pests that infest and destroy crops. Locusts forage and migrate in large swarms which exhibit distinctive shapes that improve efficiency on the group level, a phenomenon known as collective […]