@article { , title = {Rough path properties for local time of symmetric ? stable process}, abstract = {In this paper, we first prove that the local time associated with symmetric -stable processes is of bounded -variation for any partly based on Barlow’s estimation of the modulus of the local time of such processes. The fact that the local time is of bounded -variation for any enables us to define the integral of the local time as a Young integral for less smooth functions being of bounded -variation with . When , Young’s integration theory is no longer applicable. However, rough path theory is useful in this case. The main purpose of this paper is to establish a rough path theory for the integration with respect to the local times of symmetric -stable processes for .}, doi = {10.1016/j.spa.2017.03.006}, eissn = {0304-4149}, issn = {0304-4149}, issue = {11}, journal = {Stochastic Processes and their Applications}, note = {Embargo expired. OL 25.05.2018 School:C-Bus1,}, publicationstatus = {Published}, publisher = {Elsevier}, url = {https://nottingham-repository.worktribe.com/output/897499}, volume = {127}, keyword = {Young integral, Rough path, Local time, p,-variation, α-stable processes, Itô’s formula}, year = {2017}, author = {Wang, Qingfeng and Zhao, Huaizhong} }