One-dimensional polymers in random environments: stretching vs. folding-Reference-Cited by-同舟云学术

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One-dimensional polymers in random environments: stretching vs. folding

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Berger Quentin¹,Huang Chien-Hao²,Torri Niccolò³,Wei Ran⁴

Affiliation:

1. Sorbonne Université, LPSM, Campus Pierre et Marie Curie, case 158, 4 place Jussieu, 75252 Paris Cedex 5, France

2. Department of Mathematical Sciences, National Chengchi University, Taipei 16302, Taiwan

3. Université Paris-Nanterre, 200 Av. de la République, 92001, Nanterre, France and FP2M, CNRS FR 2036

4. Department of Mathematics, Nanjing University, 22 Hankou Road, 210093 Nanjing, China

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference35 articles.

1. Ole E Barndorff-Nielsen, Thomas Mikosch, and Sidney I Resnick, Lévy processes: theory and applications, Springer Science & Business Media, 2012.

2. Glen Baxter and Monroe D Donsker, On the distribution of the supremum functional for processes with stationary independent increments, Trans. Amer. Math. Soc. 85 (1957), no. 1, 73–87.

3. Itai Benjamini and David Wilson, Excited random walk, Electron. Commun. Probab. 8 (2003), 86–92.

4. Nathanaël Berestycki and Raphaël Cerf, The random walk penalised by its range in dimensions $d\ge 3$ , Ann. Henri Lebesgue 4 (2021), 1–79.

5. Q. Berger and N. Torri, Directed polymers in heavy-tail random environment, Ann. Probab. 47 (2019), no. 6, 4024–4076.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Scaling limits for the random walk penalized by its range in dimension one;Latin American Journal of Probability and Mathematical Statistics;2024

2. Scaling limit of a one-dimensional polymer in a repulsive i.i.d. environment;Electronic Journal of Probability;2024-01-01

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