Moderate deviations and laws of the iterated logarithm for the local times of additive Lévy processes and additive random walks

Xia Chen
2007 Annals of Probability  
We study the upper tail behaviors of the local times of the additive L\'{e}vy processes and additive random walks. The limit forms we establish are the moderate deviations and the laws of the iterated logarithm for the L_2-norms of the local times and for the local times at a fixed site.
doi:10.1214/009117906000000520 fatcat:gigzggq7gvgxjkpvgm5teo6h4m