Regularization of a stationary point process by a stationary increments perturbation

We present a novel procedure where a stationary point process is regularized through the convolution with a continuous random field with stationary increments, in the sense that the dependency between distant points is weakened; and the potential peaks in the spectrum (or Bragg peaks), reminiscent of a periodic behavior, are erased. We use this procedure to efficiently generate a hyperuniform point process in dimension 1 using a fractional Brownian Motion; simulating n points with complexity n log(n).

• Publication year

  2026

• Venue

  Unknown venue

• Publication date

  2026-02-23

• Fields of study

  Mathematics, Physics

• Identifiers
  arXiv 2602.19773
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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