The level sets of iterated brownian motion

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1. [A] R.J. Adler (1978). The uniform dimension of the level sets of a Brownian sheet, Ann. Prob.6509-515. Zbl0378.60028MR490818
2. [B] J. Bertoin (1995). Iterated Brownian motion and Stable (1/4) subordinator, to appear in Prob. and Stat. Lett. Zbl0854.60082MR1399993
3. [B1] K. Burdzy (1993). Some path properties of iterated Brownian motion. Sem. Stoch. Proc.1992, 67-87 (Ed. K.L. Chung, E. Çinlar and M.J. Sharpe) Birkhäuser, Boston. Zbl0789.60060MR1278077
4. [B2] K. Burdzy (1994). Variation of iterated Brownian motion. Measure-valued Processes, Stochastic Partial Differential Equations and Interacting Systems, (Ed. D.A. Dawson) CRM Proceedings and Lecture Notes, 535-53. Zbl0803.60077MR1278281
5. [CsCsFR1] E. Csáki, M. Csörgö, A. Földes AND P. Révész (1995). Global Strassen type theorems for iterated Brownian motion, to appear in Stoch. Proc. Theor Appl. Zbl0843.60072MR1357659
6. [CSCSFR2] E. Csáki, M. Csörgö, A. Földes AND P. Révész (1995). The local time of iterated Brownian motion, Preprint. MR1400596
7. [DM] P. Deheuvels AND D.M. Mason (1992). A functional LIL approach to pointwise Bahadur-Kiefer theorems, Prob. in Banach Spaces, 8, 255-266 (eds.: R.M. Dudley, M.G. Hahn and J. Kuelbs) Zbl0844.60012MR1227623
8. [F] T. Funaki (1979). A probabilistic construction of the solution of some higher order parabolic differential equations, Proc. Japan Acad.55, 176-179. Zbl0433.35039MR533542
9. [HPS] Y. Hu, D. Pierre Lotti ViaudAND Z. Shi (1994). Laws of the iterated logarithm for iterated Wiener processes, to appear in J. Theor. Prob. Zbl0816.60027MR1325853
10. [HS] Y. HuAND Z. Shi (1994). The Csörgö-Révész modulus of non-differentiability of iterated Brownian motion, to appear in Stoch. Proc. Theor Appl.. Zbl0833.60033MR1348378
11. [IM] K. ItôAND H.P. Mckean (1965). Diffusion Processes and Their Sample Paths, Springer, Berlin, Heidelberg. Zbl0127.09503
12. [KL1] D. Khoshnevisan AND T.M. Lewis (1995). Chung's law of the iterated logarithm for iterated Brownian motion, to appear in Ann.Inst. Hen. Poinc.: Prob. et Stat. Zbl0859.60025MR1387394
13. [KL2] D. Khoshnevisan AND T.M. Lewis (1995). The modulus of continuity for iterated Brownian motion, to appear in J. Theoretical Prob. Zbl0880.60081MR1712242
14. [Mc] H.P. McKean (1962). A Hölder condition for Brownian local time, J. Math. Kyoto Univ., 1-2, 195-201. Zbl0121.13101MR146902
15. [P] E.A. Perkins (1981). The exact Hausdorff measure of the level sets of Brownian motion, Z. Wahr. verw. Geb.58, 373-388. Zbl0458.60076MR639146
16. [RY] D. Revuz AND M. Yor (1991). Continuous Martingales and Brownian Motion, Springer, New York. Zbl0731.60002MR1083357
17. [S] Z. Shi (1994). Lower limits of iterated Wiener processes, to appear in Stat. Prob. Lett. Zbl0824.60025MR1340161

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