Random-Time Isotropic Fractional Stable Fields

  title={Random-Time Isotropic Fractional Stable Fields},
  author={Paul Jung},
  journal={Journal of Theoretical Probability},
  • Paul Jung
  • Published 20 December 2011
  • Mathematics
  • Journal of Theoretical Probability
Generalizing both Substable Fractional Stable Motions (FSMs) and Indicator FSMs, we introduce α-stabilized subordination, a procedure which produces new FSMs (H-self-similar, stationary increment symmetric α-stable processes) from old ones. We extend these processes to isotropic stable fields which have stationary increments in the strong sense, i.e., processes which are invariant under Euclidean rigid motions of the multi-dimensional time parameter. We also prove a Stable Central Limit Theorem… 
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