Geodesic
On the asymptotic behaviour for increments of homogeneous processes with independent increments
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 32-39

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We derive new results on an asymptotic behaviour for increments and maximum of increments of homogeneous processes with independent increments from a domain of normal attraction of an asymmetric stable law with exponent from $(1,2)$. Similar result for a maximum of increments of independent random variables sums is obtained as well. 
@article{ZNSL_2024_535_a2,
     author = {A. S. Bogarev},
     title = {On the asymptotic behaviour for increments of homogeneous processes with independent increments},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {32--39},
     publisher = {mathdoc},
     volume = {535},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_535_a2/}
}
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A. S. Bogarev. On the asymptotic behaviour for increments of homogeneous processes with independent increments. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 32-39. http://geodesic.mathdoc.fr/item/ZNSL_2024_535_a2/