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The Quenched Critical Point for Self-Avoiding Walk on Random Conductors.

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  • Additional Information
    • Author-Supplied Keywords:
      Critical point
      Disordered systems
      Random medium
      Self-avoiding walk
    • Abstract:
      Following similar analysis to that in Lacoin (Probab Theory Relat Fields 159: 777-808, ), we can show that the quenched critical point for self-avoiding walk on random conductors on $$\mathbb {Z}^d$$ is almost surely a constant, which does not depend on the location of the reference point. We provide upper and lower bounds which are valid for all $$d\ge 1$$ . [ABSTRACT FROM AUTHOR]
    • Abstract:
      Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
    • Author Affiliations:
      1Department of Mathematics, Hokkaido University, Sapporo Japan
    • ISSN:
      0022-4715
    • Accession Number:
      10.1007/s10955-016-1477-0
    • Accession Number:
      114636750
  • Citations
    • ABNT:
      CHINO, Y.; SAKAI, A. The Quenched Critical Point for Self-Avoiding Walk on Random Conductors. Journal of Statistical Physics, [s. l.], v. 163, n. 4, p. 754–764, 2016. DOI 10.1007/s10955-016-1477-0. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asn&AN=114636750&custid=s8280428. Acesso em: 8 jul. 2020.
    • AMA:
      Chino Y, Sakai A. The Quenched Critical Point for Self-Avoiding Walk on Random Conductors. Journal of Statistical Physics. 2016;163(4):754-764. doi:10.1007/s10955-016-1477-0.
    • AMA11:
      Chino Y, Sakai A. The Quenched Critical Point for Self-Avoiding Walk on Random Conductors. Journal of Statistical Physics. 2016;163(4):754-764. doi:10.1007/s10955-016-1477-0
    • APA:
      Chino, Y., & Sakai, A. (2016). The Quenched Critical Point for Self-Avoiding Walk on Random Conductors. Journal of Statistical Physics, 163(4), 754–764. https://doi.org/10.1007/s10955-016-1477-0
    • Chicago/Turabian: Author-Date:
      Chino, Yuki, and Akira Sakai. 2016. “The Quenched Critical Point for Self-Avoiding Walk on Random Conductors.” Journal of Statistical Physics 163 (4): 754–64. doi:10.1007/s10955-016-1477-0.
    • Harvard:
      Chino, Y. and Sakai, A. (2016) ‘The Quenched Critical Point for Self-Avoiding Walk on Random Conductors’, Journal of Statistical Physics, 163(4), pp. 754–764. doi: 10.1007/s10955-016-1477-0.
    • Harvard: Australian:
      Chino, Y & Sakai, A 2016, ‘The Quenched Critical Point for Self-Avoiding Walk on Random Conductors’, Journal of Statistical Physics, vol. 163, no. 4, pp. 754–764, viewed 8 July 2020, .
    • MLA:
      Chino, Yuki, and Akira Sakai. “The Quenched Critical Point for Self-Avoiding Walk on Random Conductors.” Journal of Statistical Physics, vol. 163, no. 4, May 2016, pp. 754–764. EBSCOhost, doi:10.1007/s10955-016-1477-0.
    • Chicago/Turabian: Humanities:
      Chino, Yuki, and Akira Sakai. “The Quenched Critical Point for Self-Avoiding Walk on Random Conductors.” Journal of Statistical Physics 163, no. 4 (May 15, 2016): 754–64. doi:10.1007/s10955-016-1477-0.
    • Vancouver/ICMJE:
      Chino Y, Sakai A. The Quenched Critical Point for Self-Avoiding Walk on Random Conductors. Journal of Statistical Physics [Internet]. 2016 May 15 [cited 2020 Jul 8];163(4):754–64. Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asn&AN=114636750&custid=s8280428