The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  • Amir, Gideon; Benjamini, Itai; Gurel-Gurevich, Ori; Kozma, Gady. Random walk in changing environment. Unpublished manuscript (2008).
  • Angel, Omer; Crawford, Nicholas; Kozma, Gady. Localization for linearly edge reinforced random walks. Duke Math. J. 163 (2014), no. 5, 889--921. MR3189433
  • Dembo, Amir; Huang, Ruojun; Sidoravicius, Vladas. Walking within growing domains: recurrence versus transience. Arxiv:1312.4610 (2013). To appear, Elec. J. Probab.
  • Disertori, Margherita; Sabot, Christophe; Tarre, Pierre. Transience of edge-reinforced random walk. arXiv:1403.6079v2 (2014).
  • Durrett, Rick. Probability: theory and examples. Fourth edition. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge, 2010. x+428 pp. ISBN: 978-0-521-76539-8 MR2722836
  • den Hollander, Frank; Molchanov, Stanislav A.; Zeitouni, Ofer. Random media at Saint-Flour. Reprints of lectures from the Annual Saint-Flour Probability Summer School held in Saint-Flour. Probability at Saint-Flour. Springer, Heidelberg, 2012. vi+564 pp. ISBN: 978-3-642-32948-7 MR3059554
  • Kozma, Gady. Reinforced random walk. Proc. of Europ. Cong. Math. (2012), 429-443.
  • Kozma, Gady. Centrally excited random walk is reccurent. Unpublished manuscript (2006).
  • Lawler, Gregory F. Intersections of random walks. Probability and its Applications. Birkhauser Boston, Inc., Boston, MA, 1991. 219 pp. ISBN: 0-8176-3557-2 MR1117680
  • Lawler, Gregory F.; Limic, Vlada. Random walk: a modern introduction. Cambridge Studies in Advanced Mathematics, 123. Cambridge University Press, Cambridge, 2010. xii+364 pp. ISBN: 978-0-521-51918-2 MR2677157
  • Sabot, Christophe; Tarres, Pierre. Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model. arXiv:1111.3991v4 (2012). To appear, J. Eur. Math. Soc.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.