English

Ambit fields: survey and new challenges

Probability 2014-05-08 v1

Abstract

In this paper we present a survey on recent developments in the study of ambit fields and point out some open problems. Ambit fields is a class of spatio-temporal stochastic processes, which by its general structure constitutes a flexible model for dynamical structures in time and/or in space. We will review their basic probabilistic properties, main stochastic integration concepts and recent limit theory for high frequency statistics of ambit fields.

Keywords

Cite

@article{arxiv.1405.1531,
  title  = {Ambit fields: survey and new challenges},
  author = {Mark Podolskij},
  journal= {arXiv preprint arXiv:1405.1531},
  year   = {2014}
}

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R2 v1 2026-06-22T04:07:57.249Z