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

  1. Bousquet-Mélou, Mireille; Schaeffer, Gilles. Walks on the slit plane. Probab. Theory Related Fields 124 (2002), no. 3, 305--344. MR1939650 (2003h:60013)
  2. Fukai, Yasunari. Hitting distribution to a quadrant of two-dimensional random walk. Kodai Math. J. 23 (2000), no. 1, 35--80. MR1749384 (2001h:60083)
  3. Fukai, Yasunari; Uchiyama, Kôhei. Potential kernel for two-dimensional random walk. Ann. Probab. 24 (1996), no. 4, 1979--1992. MR1415236 (97m:60098)
  4. Kesten, Harry. Hitting probabilities of random walks on $Zsp d$. Stochastic Process. Appl. 25 (1987), no. 2, 165--184. MR0915132 (89a:60163)
  5. Kozma, Gady; Schreiber, Ehud. An asymptotic expansion for the discrete harmonic potential. Electron. J. Probab. 9 (2004), no. 1, 1--17 (electronic). MR2041826 (2005f:60165)
  6. Stein, Elias M. Singular integrals and differentiability properties of functions.Princeton Mathematical Series, No. 30 Princeton University Press, Princeton, N.J. 1970 xiv+290 pp. MR0290095 (44 #7280)
  7. Spitzer, Frank. Principles of random walk.The University Series in Higher Mathematics D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London 1964 xi+406 pp. MR0171290 (30 #1521)
  8. Uchiyama, Kôhei. Green's functions for random walks on $Zsp N$. Proc. London Math. Soc. (3) 77 (1998), no. 1, 215--240. MR1625467 (99f:60132)
  9. Uchiyama, Kôhei. The hitting distributions of a line for two dimensional random walks. Trans. Amer. Math. Soc. 362 (2010), no. 5, 2559--2588. MR2584611
  10. Uchiyama, Kôhei. The hitting distributions of a line for two dimensional random walks. Trans. Amer. Math. Soc. 362 (2010), no. 5, 2559--2588. MR2584611
  11. Uchiyama. K, Random walks on the upper half plane. preprint
Bookmark and Share


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