Occupation Time Fluctuations in Branching Systems
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DOI: 10.1023/A:1017597107544
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- Gorostiza, L. G. & Lopez-Mimbela, J. A., 1994. "An occupation time approach for convergence of measure-valued processes, and the death process of a branching system," Statistics & Probability Letters, Elsevier, vol. 21(1), pages 59-67, September.
- Dawson, Donald A. & Hochberg, Kenneth J. & Vinogradov, Vladimir, 1996. "High-density limits of hierarchically structured branching-diffusing populations," Stochastic Processes and their Applications, Elsevier, vol. 62(2), pages 191-222, July.
- Deuschel, Jean-Dominique & Wang, Kongming, 1994. "Large deviations for the occupation time functional of a Poisson system of independent Brownian particles," Stochastic Processes and their Applications, Elsevier, vol. 52(2), pages 183-209, August.
- Grabner, Peter J. & Woess, Wolfgang, 1997. "Functional iterations and periodic oscillations for simple random walk on the Sierpinski graph," Stochastic Processes and their Applications, Elsevier, vol. 69(1), pages 127-138, July.
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Cited by:
- D. A. Dawson & L. G. Gorostiza, 2018. "Transience and Recurrence of Random Walks on Percolation Clusters in an Ultrametric Space," Journal of Theoretical Probability, Springer, vol. 31(1), pages 494-526, March.
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Keywords
multilevel branching particle system; occupation time; fluctuation; Green potential; weak and strong transience; stable Lévy process; hierarchical random walk; critical dimensions;All these keywords.
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