no. 2
The probability that brownian motion almost contains a line
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 2, pp. 147-165. 
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     pages = {147--165},
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     volume = {33},
     number = {2},
     year = {1997},
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     zbl = {0880.60040},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1997__33_2_147_0/}
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Pemantle, Robin. The probability that brownian motion almost contains a line. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 2, pp. 147-165. http://www.numdam.org/item/AIHPB_1997__33_2_147_0/

[1] 1. Benjamini R., Pemantle and Y. Peres, Martin capacity for Markov chains, Ann. Probab., Vol. 23, 1994, pp. 1332-1346. | MR | Zbl

[2] K. Burdzy, Labyrinth dimension of Brownian trace, Preprint, 1994. | MR

[3] K. Burdzy and G. Lawler, Nonintersection exponents for Brownian paths II: estimates and application to a random fractal. Ann. Probab. , Vol. 18, 1990, pp. 981-1009. | MR | Zbl

[4] E. Csáki, An integral test for the supremum of Wiener local time, Prob. Th. Rel. Fields, Vol. 83, 1989, pp. 207-217. | MR | Zbl

[5] A. Dvoretzky, P. Erdös and S. Kakutani, Double points of paths of Brownian motion in n-space, Acta Sci. Math., Vol. 12, 1950, pp. 75-81. | MR | Zbl

[6] P.J. Fitzsimmons and T. Salisbury, Capacity and energy for multiparameter Markov processes, Ann. Inst. Henri Poincaré, Probab., Vol. 25, 1989, pp. 325-350. | Numdam | MR | Zbl

[7] S. Kakutani, Two dimensional Brownian motion and harmonic functions, Proc. Imp. Acad. Tokyo, Vol. 20, 1944, pp. 648-652. | MR | Zbl

[8] G. Lawler, 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 | Zbl

[9] J.F. Le Gall, Some properties of planar Brownian motion, Springer Lecture Notes in Mathematics, Vol. 1527, 1991, pp. 112-234. | MR

[10] P. Lévy, Le mouvement brownien plan, Amer. J. Math., 1940, Vol. 62, pp. 487-550. | JFM | MR | Zbl

[11] T. Meyre and W. Werner, 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 | Zbl

[12] D. Ray, Sojourn times and the exact Hausdorff measure of the sample path for planar Brownian motion, Trans. AMS, Vol. 106, 1963, pp. 436-444. | MR | Zbl

[13] P. Révész, Estimates on the largest disc covered by a random walk, Ann. Probab., Vol. 18, 1990, pp. 1784-1789. | MR | Zbl

[14] T. Salisbury, Energy, and intersections of Markov chains. In: IMA volume on Random discrete structures, D. ALDOUS and R. PEMANTLE Eds., 1996. Springer: Berlin. | MR | Zbl