3 papers
math.NA2025
Symmetry-reduced model reduction of shift-equivariant systems via operator inference
Yu Shuai, Clarence W. Rowley
We consider data-driven reduced-order models of partial differential equations with shift equivariance. Shift-equivariant systems typically admit traveling solutions, and the main…
math.PR2025
Branch lengths for geodesics in the directed landscape and mutation patterns in growing spatially structured populations
Shirshendu Ganguly, Jason Schweinsberg, Yubo Shuai
Consider a population that is expanding in two-dimensional space. Suppose we collect data from a sample of individuals taken at random either from the entire population, or from ne…
math.PR2024
Transition in the ancestral reproduction rate and its implications for the site frequency spectrum
Yubo Shuai
Consider a supercritical birth and death process where the children acquire mutations. We study the mutation rates along the ancestral lineages in a sample of size from the pop…