Journal article
Local Properties Of A Multifractional Stable Field
Year:
2013Published in:
Theory of Probability and Mathematical StatisticsStable process
harmonizable process
multifractionality
local time
local non-determinism
An anisotropic harmonizable multifractional stable field is defined. Its continuity is proved. Existence and square integrability of local time are established. It is proved that the local time is jointly continuous in the Gaussian case.