Periodic homogenisation of a Lévy-type process with small jumps (CROSBI ID 280142)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Sandrić, Nikola ; Valentić, Ivana ; Wang, Jian
engleski
Periodic homogenisation of a Lévy-type process with small jumps
In this article, we consider the problem of periodic homogenization of a Feller process generated by a pseudo-differential operator, the so- called Lévy-type process. Under the assumptions that the generator has rapidly periodically oscillating coefficients, and that it admits “small jumps” only (that is, the jump kernel has finite second moment), we prove that the appropriately centered and scaled process converges weakly to a Brownian motion with covariance matrix given in terms of the coefficients of the generator. The presented results generalize the classical and well-known results related to periodic homogenization of a diffusion process.
Feller process, homogenization, Lévy-type process, pseudo-differential operator, semimartingale characteristics
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
21 (1)
2021.
771-803
objavljeno
1424-3199
1424-3202
10.1007/s00028-020-00601-1