2 papers
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…
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…