Invariance principle for the maximal position process of branching Brownian motion in random environment-Reference-Cited by-同舟云学术

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Invariance principle for the maximal position process of branching Brownian motion in random environment

Published:2023-01-01 Issue:none Volume:28 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Hou Haojie¹,Ren Yan-Xia²,Song Renming³

Affiliation:

1. School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China

2. LMAM School of Mathematical Sciences & Center for Statistical Science, Peking University, Beijing, 100871, P.R. China

3. Department of Mathematics, University of Illinois, Urbana, IL 61801, U.S.A

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference27 articles.

1. Berestycki, H. and Nadin, G.: Spreading speeds for one-dimensional monostable reaction-diffusion equations. J. Math. Phys. 53(11), (2012), 115619.

2. Billingsley, P.: Convergence of Probability Measures. New York: John Wiley & Sons, Inc., 1968

3. Bramson, M.: Maximal displacement of branching Brownian motion. Comm. Pure Appl. Math. 31, (1978), 531–581.

4. Bramson, M.: Convergence of solutions of the Kolmogorov equation to travelling waves. Mem. Amer. Math. Soc.. 44, (1983), iv+190.

5. Boucheron, S., Lugosi, G. and Massart, P.: Concentration inequalities. Oxford University Press, Oxford, 2013. A nonasymptotic theory of independence, With a foreword by Michel Ledoux.

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