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math.PR2026
On McKean-Vlasov SDEs with polynomial drifts for SIS epidemic models
Alexander Kalinin, Thilo Meyer-Brandis, Annika Steibel
We present a tractable class of one-dimensional McKean-Vlasov equations that allow for unique strong solutions and extend the dynamics of various SIS epidemic models that are well-…
math.PR2024
Limit Laws for Critical Dispersion on Complete Graphs
Umberto De Ambroggio, Tamás Makai, Konstantinos Panagiotou +1
We consider a synchronous process of particles moving on the vertices of a graph , introduced by Cooper, McDowell, Radzik, Rivera and Shiraga (2018). Initially, particles ar…