Non-fixation for biased Activated Random Walks

被引：12
|
作者：
Rolla, L. T. [1 ,2 ]
Tournier, L. [3 ]
机构：
[1] Univ Buenos Aires, Argentinian Natl Res Council, Buenos Aires, DF, Argentina
[2] NYU Shanghai, NYU ECNU Inst Math Sci, Shanghai, Peoples R China
[3] Univ Paris 13, CNRS UMR 7539, LAGA, Sorbonne Paris Cite, F-93430 Villetaneuse, France
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2018年 / 54卷 / 02期
关键词：
Interacting particle systems; Activated Random Walks; Absorbing-state; Phase transition;
D O I：
10.1214/17-AIHP827
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We prove that the model of Activated Random Walks on Z(d) with biased jump distribution does not fixate for any positive density, if the sleep rate is small enough, as well as for any finite sleep rate, if the density is close enough to 1. The proof uses a new criterion for non-fixation. We provide a pathwise construction of the process, of independent interest, used in the proof of this non-fixation criterion.
引用
收藏
页码：938 / 951
页数：14
相关论文
共 50 条
  • [21] RANDOM-WALKS ON BIASED BETHE LATTICES
    ASLANGUL, C
    BARTHELEMY, M
    POTTIER, N
    SAINTJAMES, D
    EUROPHYSICS LETTERS, 1991, 15 (03): : 251 - 254
  • [22] Nonfixation for Activated Random Walks
    Shellef, Eric
    ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2010, 7 : 137 - 149
  • [23] Speed function for biased random walks with traps
    Betz, Volker
    Meiners, Matthias
    Tomic, Ivana
    STATISTICS & PROBABILITY LETTERS, 2023, 195
  • [24] Biased Random Walks in Uniform Wireless Networks
    Beraldi, Roberto
    IEEE TRANSACTIONS ON MOBILE COMPUTING, 2009, 8 (04) : 500 - 513
  • [25] Comment on "Localization transition of biased random walks on random networks"
    Benichou, O.
    Voituriez, R.
    PHYSICAL REVIEW LETTERS, 2007, 99 (20)
  • [26] GLUTARALDEHYDE NON-FIXATION OF ISOLATED VIRAL AND YEAST RNAS
    LANGENBERG, WG
    JOURNAL OF HISTOCHEMISTRY & CYTOCHEMISTRY, 1980, 28 (04) : 311 - 315
  • [27] NON-FIXATION OF THE COLON IN COLONIC ATRESIA - A NEW FINDING
    LANDES, A
    SHUCKETT, B
    SKARSGARD, E
    PEDIATRIC RADIOLOGY, 1994, 24 (03) : 167 - 169
  • [28] Posterior mesh fixation versus non-fixation in sacrocolpopexy: A randomized clinical trial
    Di Biasi, Jasmine
    Ruggieri, Stefania
    Taccaliti, Chiara
    Ciocca, Michela
    Di Florio, Christian
    Stabile, Guglielmo
    Catana, Paola
    Bruno, Matteo
    Guido, Maurizio
    EUROPEAN JOURNAL OF OBSTETRICS & GYNECOLOGY AND REPRODUCTIVE BIOLOGY, 2025, 309 : 1 - 6
  • [29] Non-Gaussianity and dynamical trapping in locally activated random walks
    Benichou, O.
    Meunier, N.
    Redner, S.
    Voituriez, R.
    PHYSICAL REVIEW E, 2012, 85 (02):
  • [30] Non-fixation of phosphoric acid by an acid earth of forests.
    Petit, A
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1912, 155 : 921 - 923
12345