Brownian snails with removal die out in one dimension

Author:

Hartarsky Ivailo1,Lichev Lyuben2

Affiliation:

1. Technische Universität Wien, Institut für Stochastik und Wirtschaftsmathematik, Wiedner Hauptstraße 8-10, A-1040, Vienna, Austria

2. Institut Camille Jordan, Univ. Jean Monnet, Saint-Etienne, France and Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str. 8, 1113 Sofia, Bulgaria

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference16 articles.

1. E. Beckman, E. Dinan, R. Durrett, R. Huo, and M. Junge, Asymptotic behavior of the Brownian frog model, Electron. J. Probab. 23 (2018), paper no. 104, 19 pp.

2. N. Alon and J. H. Spencer, The probabilistic method, 4th ed., Wiley series in discrete mathematics and optimization, John Wiley & Sons, Inc., Hoboken, NJ, 2016.

3. O. S. M. Alves, F. P. Machado, and S. Yu. Popov, Phase transition for the frog model, Electron. J. Probab. 7 (2002), no. 16, 21.

4. O. S. M. Alves, F. P. Machado, and S. Yu. Popov, The shape theorem for the frog model, Ann. Appl. Probab. 12 (2002), no. 2, 533–546.

5. D. Dauvergne and A. Sly, The SIR model in a moving population: propagation of infection and herd immunity, arXiv e-prints (2022), available at 2209.06037.

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