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. R.F. Bass, Probabilistic Techniques in Analysis. Springer, New York, 1995. MR1329542 (96c:60001)

  2. R.F. Bass and D. Khoshnevisan, Local times on curves and uniform invariance principles. Prob. Th. and rel. Fields 92 (1992) 465-492. MR1169015 (93e:60161)

  3. R.F. Bass and D. Khoshnevisan, Intersection local times and Tanaka formulas. Ann. Inst. H. Poincaré (1993) 419-451. MR1246641 (95c:60073)

  4. R.F. Bass and D. Khoshnevisan, Strong approximations to Brownian local time, Seminar on Stochastic Processes, 1992, 43-66, Birkhäuser, Boston, 1993. MR1278076 (95h:60050)

  5. R.F. Bass and J. Rosen, An almost sure invariance principle for the range of planar random walks, Ann. Probab., to appear. Math Review not yet available.
  6. I. Berkes and W. Philipp, Approximation theorems for independent and weakly dependent random vectors, Ann. Probab. 7 (1979) 29-54. MR0515811 (80k:60008)

  7. E. B. Dynkin, Self-intersection gauge for random walks and for Brownian motion. Ann. Probab. 16 (1988) 1-57. MR0920254 (89f:60053)

  8. E. B. Dynkin, Regularized self-intersection local times of planar Brownian motion. Ann. Probab. 16 (1988) 58-74. MR0920255 (89b:60181)

  9. J. F. Le Gall, Wiener sausage and self intersection local times. J. Funct. Anal. 88 (1990) 299-341. MR1038444 (91e:60238)

  10. J. F. Le Gall, Propriétés d'intersection des marches aléatoires, I. Convergence vers le temps local d'intersection, Comm. Math. Phys. 104 (1986) 471-507. MR0840748 (88d:60182)

  11. J. F. Le Gall. Some properties of planar Brownian motion, Ecole d'été de probabilités de St. Flour XX, 1990. Springer-Verlag, Berlin, 1992. MR1229519 (94g:60156)

  12. G. Lawler, Intersections of random walks. Birkhäuser, Boston, 1991. MR1117680 (92f:60222)

  13. G. Lawler, in preparation. Math Review not available.

  14. M. Marcus and J. Rosen, Renormalized self-intersection local times and Wick power chaos processes, Memoirs of the AMS, Volume 142, Number 675, Providence, AMS, 1999. MR1621400 (2000e:60125)

  15. V.V. Petrov, Sums of Independent Random Variables. Springer-Verlag, Berlin, 1975. MR0388499 (52#9335)

  16. J. Rosen, Random walks and intersection local time. Ann. Probab. 18 (1990) 959-977. MR1062054 (91j:60132)

  17. J. Rosen, Joint continuity of renormalized intersection local times, Ann. Inst. H. Poincaré 32 (1996) 671-700. MR1422306 (98d:60153)

  18. J. Rosen. Dirichlet processes and an intrinsic characterization for renormalized intersection local times, Ann. Inst. H. Poincaré 37 (2001) 403-420. MR1876838 (2003c:60131)

  19. F. Spitzer, Principles of Random Walk, 2nd ed., Springer, New York, 1976. MR0388547 (52#9383)

  20. S. R. S. Varadhan. Appendix to Euclidean quantum field theory by K. Symanzik. In R. Jost, editor, Local Quantum Theory. Academic Press, Reading, MA, 1969. Math Review not available.
Bookmark and Share


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