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Central limit theorem for Gibbsian U-statistics of facet processes

Probability 2015-10-06 v2

Abstract

Special case of a Gibbsian facet process on a fixed window with a discrete orientation distribution and with increasing intensity of the underlying Poisson process is studied. All asymptotic moments for interaction U-statistics are calculated and using the method of moments the central limit theorem is derived.

Keywords

Cite

@article{arxiv.1504.03589,
  title  = {Central limit theorem for Gibbsian U-statistics of facet processes},
  author = {Jakub Vecera},
  journal= {arXiv preprint arXiv:1504.03589},
  year   = {2015}
}

Comments

15 pages