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math.PR2026
Functional limiting behaviour of non-stationary marked Hawkes processes under multi-scaling high-intensity regime
Ankita Sen, Dharmaraja Selvamuthu, N. Selvaraju
This paper studies the non-stationary marked Hawkes processes in which the base intensity function is time-dependent and the kernel function is governed by an external random facto…
math.PR2026
Asymptotic Analysis of Discrete-Time Hawkes Process
Utpal Jyoti Deba Sarma, Dharmaraja Selvamuthu
In a discrete-time setting, we consider an arrival process , which models the occurrence of events, and a corresponding point p…
math.PR2026★ 1 cited
Convergences for a Virus-like Evolving Population driven by Mutually-exciting Hawkes Processes
Rahul Roy, Dharmaraja Selvamuthu, Paola Tardelli
This paper presents a stochastic model motivated by the study of a virus-like evolving population with different mutation rates. This is a continuous time birth-death model: the bi…