Scaling limits for a random boxes model
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Publication:5203956
DOI10.1017/apr.2019.34zbMath1427.60093arXiv1806.11029OpenAlexW2971636215MaRDI QIDQ5203956
Frank Aurzada, Sebastian Schwinn
Publication date: 9 December 2019
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.11029
Poisson point processGaussian random fieldPoisson random fieldstable random fieldrandom balls modelrandom grain modelgeneralised random field
Random fields (60G60) Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- On the perimeter of excursion sets of shot noise random fields
- Moment convergence of first-passage times in renewal theory
- Random balls model with dependence
- Modeling network traffic by a cluster Poisson input process with heavy and light-tailed file sizes
- Self-similar random fields and rescaled random balls models
- Rescaled weighted random ball models and stable self-similar random fields
- Modeling teletraffic arrivals by a Poisson cluster process
- Extremal shot noises, heavy tails and max-stable random fields
- Central limit theorem for shot noise fields
- Regular variation in the mean and stable limits for Poisson shot noise
- Functional limit theorems for a new class of non-stationary shot noise processes
- Macroscopic analysis of determinantal random balls
- Scaling limits for random fields with long-range dependence
- Fractional Brownian motion as a weak limit of Poisson shot noise processes -- with applications to finance
- Infinite dimensional functional convergences in random balls model
- Anisotropic scaling of the random grain model with application to network traffic
- Functional macroscopic behavior of weighted random ball model
- The central limit theorem for the Poisson shot-noise process
- Generalized operator-scaling random ball model
- On Scaling Limits of Power Law Shot-Noise Fields
- Random Processes by Example
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