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math.PR2025
Phase Transitions in a Particle Model for the Self-Adaptive Response to Cancer Dynamics
Christian Kuehn, Quirin Vogel
In this paper, we present a probabilistic analysis of a dynamical particle model for the self-adaptive immune response to cancer, as proposed by the first author in a previous work…
math.PR2025
1+O(1) asymptotics for loop percolation in five and higher dimensions
Quirin Vogel
We calculate the one-arm probability and the two-point function for loop percolation in dimensions five and higher on the lattice up to first order. This answers a question posed b…