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math.AP2026
Logarithmic upper bounds and axial front selection for spatially periodic lattice Fisher--KPP equations
Yuanyang Hu, Zhenkun Wang
We study the position and shape of invasion fronts for spatially periodic Fisher--KPP equations on higher-dimensional lattices, starting from localized initial data. Periodic spect…
math.AP2026
Bramson correction and convergence to the critical wave for Fisher-KPP equations on
Yuanyang Hu
We consider Fisher-KPP equations with nearest-neighbor diffusion on , , with nonzero finitely supported initial data. We prove a logarithmic delay of the front…
math.AP2026
Sharp Propagation and the Local-to-Nonlocal Transition for Fractional Fisher-KPP Equations on Integer Lattices
Yuanyang Hu
Let denote normalized nearest-neighbor averaging on and set . We consider For a Fisher-KPP reaction…