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

    Benjamini, Itai; Wilson, David B. Excited random walk. Electron. Comm. Probab. 8 (2003), 86--92 (electronic). MR1987097 (Review)

    Bhattacharya, Rabi N.; Waymire, Edward C. Stochastic processes with applications. Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1990. xvi+672 pp. ISBN: 0-471-84272-9 MR1054645 (91m:60001)

    Davis, Burgess. Reinforced random walk. Probab. Theory Related Fields 84 (1990), no. 2, 203--229. MR1030727 (91a:60179)

    Davis, Burgess. Brownian motion and random walk perturbed at extrema. Probab. Theory Related Fields 113 (1999), no. 4, 501--518. MR1717528 (2001k:60030)

    Davis, Burgess; Volkov, Stanislav. Continuous time vertex-reinforced jump processes. Probab. Theory Related Fields 123 (2002), no. 2, 281--300. MR1900324 (2003e:60078)

    Doyle, Peter G.; Snell, J. Laurie. Random walks and electric networks. Carus Mathematical Monographs, 22. Mathematical Association of America, Washington, DC, 1984. xiv+159 pp. ISBN: 0-88385-024-9 MR0920811 (89a:94023)

    Durrett, Richard. Probability: theory and examples. Second edition. Duxbury Press, Belmont, CA, 1996. xiii+503 pp. ISBN: 0-534-24318-5 MR1609153 (98m:60001)

    Durrett, Rick; Kesten, Harry; Limic, Vlada. Once edge-reinforced random walk on a tree. Probab. Theory Related Fields 122 (2002), no. 4, 567--592. MR1902191 (2003e:60160)

    Pemantle, P. (2002). Random processes with reinforcement. Preprint.

    Sellke, T. (1994). Reinforced random walk on the $d-$dimensional integer lattice. Purdue University technical report 94-26.

Bookmark and Share


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