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References

  • Baudoin, Fabrice. Conditioned stochastic differential equations: theory, examples and application to finance. Stochastic Process. Appl. 100 (2002), 109--145. MR1919610
  • Peter Carr, Travis Fisher, and Johannes Ruf, On the hedging of options on exploding exchange rates, Preprint, arXiv:1202.6188, 2012.
  • Delbaen, F.; Schachermayer, W. Arbitrage possibilities in Bessel processes and their relations to local martingales. Probab. Theory Related Fields 102 (1995), no. 3, 357--366. MR1339738
  • Doob, J. L. Conditional Brownian motion and the boundary limits of harmonic functions. Bull. Soc. Math. France 85 1957 431--458. MR0109961
  • Ethier, Stewart N.; Kurtz, Thomas G. Markov processes. Characterization and convergence. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1986. x+534 pp. ISBN: 0-471-08186-8 MR0838085
  • Föllmer, Hans. The exit measure of a supermartingale. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 21 (1972), 154--166. MR0309184
  • Jacod, Jean; Shiryaev, Albert N. Limit theorems for stochastic processes. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 288. Springer-Verlag, Berlin, 2003. xx+661 pp. ISBN: 3-540-43932-3 MR1943877
  • Karatzas, Ioannis; Shreve, Steven E. Brownian motion and stochastic calculus. Second edition. Graduate Texts in Mathematics, 113. Springer-Verlag, New York, 1991. xxiv+470 pp. ISBN: 0-387-97655-8 MR1121940
  • Constantinos Kardaras, On the stochastic behavior of optional processes up to random times, Preprint, arXiv:1007.1124, 2012.
  • Knight, Frank B. Brownian local times and taboo processes. Trans. Amer. Math. Soc. 143 1969 173--185. MR0253424
  • McKean, H. P., Jr. Excursions of a non-singular diffusion. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 1 1962/1963 230--239. MR0162282
  • Meyer, P. A. La mesure de H. Föllmer en théorie des surmartingales. (French) Séminaire de Probabilités, VI (Univ. Strasbourg, année universitaire 1970–1971; Journées Probabilistes de Strasbourg, 1971), pp. 118--129. Lecture Notes in Math., Vol. 258, Springer, Berlin, 1972. MR0368131
  • Pal, Soumik; Protter, Philip. Analysis of continuous strict local martingales via $h$-transforms. Stochastic Process. Appl. 120 (2010), no. 8, 1424--1443. MR2653260
  • Pitman, J. W. One-dimensional Brownian motion and the three-dimensional Bessel process. Advances in Appl. Probability 7 (1975), no. 3, 511--526. MR0375485
  • Pitman, Jim; Yor, Marc. Bessel processes and infinitely divisible laws. Stochastic integrals (Proc. Sympos., Univ. Durham, Durham, 1980), pp. 285--370, Lecture Notes in Math., 851, Springer, Berlin, 1981. MR0620995
  • Daniel Revuz and Marc Yor, Continuous martingales and Brownian motion, 3rd ed., Springer, Berlin, 1999. MR1725357
  • Roynette, Bernard; Yor, Marc. Penalising Brownian paths. Lecture Notes in Mathematics, 1969. Springer-Verlag, Berlin, 2009. xiv+275 pp. ISBN: 978-3-540-89698-2 MR2504013
  • Stroock, Daniel W.; Varadhan, S. R. Srinivasa. Multidimensional diffusion processes. Reprint of the 1997 edition. Classics in Mathematics. Springer-Verlag, Berlin, 2006. xii+338 pp. ISBN: 978-3-540-28998-2; 3-540-28998-4 MR2190038
  • Williams, David. Path decomposition and continuity of local time for one-dimensional diffusions. I. Proc. London Math. Soc. (3) 28 (1974), 738--768. MR0350881
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