@article{graham:hal-02139998, TITLE = {{Regenerative properties of the linear Hawkes process with unbounded memory}}, AUTHOR = {Graham, Carl}, URL = {https://polytechnique.hal.science/hal-02139998}, JOURNAL = {{Annals of Applied Probability}}, PUBLISHER = {{Institute of Mathematical Statistics (IMS)}}, VOLUME = {31}, NUMBER = {6}, PAGES = {2844-2863}, YEAR = {2021}, DOI = {10.1214/21-AAP1664}, KEYWORDS = {regenerative processes ; Poisson cluster point processes ; infinite-server queues ; long-time asymptotics ; Laplace transforms ; concentration inequalities}, PDF = {https://polytechnique.hal.science/hal-02139998v2/file/Hawkes-regen-arxiv.pdf}, HAL_ID = {hal-02139998}, HAL_VERSION = {v2}, }