3 papers
q-bio.PE2026
Migration Genealogies in Multiregional Stable Populations: First-Return Decompositions, Recurrence, and Sensitivity
Ryo Oizumi, Kensaku Kinjo, Yuki Chino
When people of reproductive age move between regions, replacement-level fertility need not produce spatially balanced population replacement. Migration genealogies connect a woman'…
math.FA2026
An Explicit Representation of the Dominant Eigenstructure for Positive Operators on Banach Lattices
Yuki Chino, Kensaku Kinjo, Ryo Oizumi
The Riesz projection and the corresponding eigenfunction of a positive operator satisfying the Doeblin condition are explicitly constructed using the partial Bell polynomials. Whil…
q-bio.PE2026
Genealogical Expansions of Positive Fredholm Operators via a Reference-Point Method
Ryo Oizumi, Kensaku Kinjo, Yuki Chino
We study positive Fredholm integral operators that arise as next-generation operators in structured population models. The main problem is to represent the dominant eigenvalue and…