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math.AP2026
Variational Principles and Rearrangement Inequalities for asymmetric Operators on Periodic Lattices
Xing Liang
In this paper, we establish variational formulas and a rearrangement inequality for principal eigenvalues of asymmetric second-order difference operators on periodic lattices. For…
math.AP2026
On advective nonlocal operators: multiplicity of principal eigenpairs
Arnaud Ducrot, Quentin Griette, Xing Liang
We study the existence and multiplicity of principal eigenvalues and eigenfunctions for a periodically heterogeneous nonlocal dispersal model with advection. The operator we consid…
math.AP2026
Spreading speeds for Fisher-KPP equations with slowly decaying initial data in an almost periodic setting
Xing Liang, Linfeng Xu, Tao Zhou
This paper investigates the long-times behavior of the Fisher-KPP equation with slowly decaying initial data in an almost periodic medium. We mainly focus on two classes of initial…