3 papers
math.NA2026
Resolving the Blow-Up: A Time-Dilated Numerical Framework for Multiple Firing Events in Mean-Field Neuronal Networks
Xu'an Dou, Louis Tao, Zhe Xue +1
In large-scale excitatory neuronal networks, rapid synchronization manifests as {multiple firing events (MFEs)}, mathematically characterized by a finite-time blow-up of the neuron…
math.AP2025
Crossover from ballistic transport to normal diffusion: a kinetic view
Zhe Xue, Weiran Sun, Zhennan Zhou +1
The crossover between dispersion patterns has been frequently observed in various systems. Inspired by the pathway-based kinetic model for E. coli chemotaxis that accounts for the…
math.AP2023
Transition behavior of the waiting time distribution in a jumping model with the internal state
Zhe Xue, Yuan Zhang, Zhennan Zhou +1
It has been noticed that when the waiting time distribution exhibits a transition from an intermediate time power law decay to a long-time exponential decay in the continuous time…