@article{AIHPB_1997__33_2_147_0,
author = {Pemantle, Robin},
title = {The probability that brownian motion almost contains a line},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {33},
year = {1997},
pages = {147-165},
mrnumber = {1443954},
zbl = {0880.60040},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_1997__33_2_147_0}
}
Pemantle, Robin. The probability that brownian motion almost contains a line. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) pp. 147-165. http://gdmltest.u-ga.fr/item/AIHPB_1997__33_2_147_0/
[1] 1. , and , Martin capacity for Markov chains, Ann. Probab., Vol. 23, 1994, pp. 1332-1346. | MR 1349175 | Zbl 0840.60068
[2] , Labyrinth dimension of Brownian trace, Preprint, 1994. | MR 1369798
[3] and , Nonintersection exponents for Brownian paths II: estimates and application to a random fractal. Ann. Probab. , Vol. 18, 1990, pp. 981-1009. | MR 1062056 | Zbl 0719.60085
[4] , An integral test for the supremum of Wiener local time, Prob. Th. Rel. Fields, Vol. 83, 1989, pp. 207-217. | MR 1012499 | Zbl 0677.60087
[5] , and , Double points of paths of Brownian motion in n-space, Acta Sci. Math., Vol. 12, 1950, pp. 75-81. | MR 34972 | Zbl 0036.09001
[6] and , Capacity and energy for multiparameter Markov processes, Ann. Inst. Henri Poincaré, Probab., Vol. 25, 1989, pp. 325-350. | Numdam | MR 1023955 | Zbl 0689.60071
[7] , Two dimensional Brownian motion and harmonic functions, Proc. Imp. Acad. Tokyo, Vol. 20, 1944, pp. 648-652. | MR 14646 | Zbl 0063.03107
[8] , On the covering time of a disc by simple random walk in two dimensions. In: Seminar on stochastic processes, 1992, R. BASS and K. BURDZY managing editors, Birkhäuser: Boston. | MR 1278083 | Zbl 0789.60019
[9] , Some properties of planar Brownian motion, Springer Lecture Notes in Mathematics, Vol. 1527, 1991, pp. 112-234. | MR 1229519
[10] , Le mouvement brownien plan, Amer. J. Math., 1940, Vol. 62, pp. 487-550. | JFM 66.0619.02 | MR 2734 | Zbl 0024.13906
[11] and , Estimation asymptotique du rayon du plus grand disque couvert par la saucisse de Wiener plane, Stochastics and Stochastics Reports, Vol. 48, 1994, pp. 45-59. | MR 1786191 | Zbl 0828.60066
[12] , Sojourn times and the exact Hausdorff measure of the sample path for planar Brownian motion, Trans. AMS, Vol. 106, 1963, pp. 436-444. | MR 145599 | Zbl 0119.14602
[13] , Estimates on the largest disc covered by a random walk, Ann. Probab., Vol. 18, 1990, pp. 1784-1789. | MR 1071825 | Zbl 0721.60071
[14] , Energy, and intersections of Markov chains. In: IMA volume on Random discrete structures, D. ALDOUS and R. PEMANTLE Eds., 1996. Springer: Berlin. | MR 1395618 | Zbl 0845.60068