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math.PR2024
Spatiotemporal Hawkes processes with a graphon-induced connectivity structure
Justin Baars, Roger J. A. Laeven, Michel Mandjes
We introduce a spatiotemporal self-exciting point process , boundedly finite both over time and space , with excitation structure determined by a…
math.PR2024
Geometric BSDEs
Roger J. A. Laeven, Emanuela Rosazza Gianin, Marco Zullino
We introduce Geometric Backward Stochastic Differential Equations (GBSDEs) and two-driver BSDEs, which arise naturally in the geometric dynamics of dynamic return risk measures and…