Heat flow, brownian motion and newtonian capacity
Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 2, pp. 193-214.
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     title = {Heat flow, brownian motion and newtonian capacity},
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Van den Berg, M. Heat flow, brownian motion and newtonian capacity. Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 2, pp. 193-214. doi : 10.1016/j.anihpb.2006.03.005. http://www.numdam.org/articles/10.1016/j.anihpb.2006.03.005/

[1] M. Van Den Berg, Asymptotics of the heat exchange, J. Funct. Anal. 206 (2004) 379-390. | MR | Zbl

[2] M. Van Den Berg, On the expected volume of intersection of independent Wiener sausages and the asymptotic behaviour of some related integrals, J. Funct. Anal. 222 (2005) 114-128. | MR | Zbl

[3] M. van den Berg, On the volume of intersection of three independent Wiener sausages, in preparation.

[4] J.-F. Le Gall, Sur une conjecture de M. Kac, Probab. Theory Relat. Fields 78 (1988) 389-402. | MR | Zbl

[5] J.-F. Le Gall, Wiener sauasage and self-intersection local times, J. Funct. Anal. 88 (1990) 299-341. | MR | Zbl

[6] J.-F. Le Gall, Some properties of planar Brownian motion, in: École d'Été de Probabilités de Saint-Flour XX 1990, Lecture Notes in Mathematics, vol. 1527, Springer, Berlin, 1992, pp. 111-235. | MR | Zbl

[7] A. Joffe, Sojourn time for stable processes, Thesis, Cornell University, 1959.

[8] S.C. Port, Hitting times for transient stable processes, Pacific J. Math. 21 (1967) 161-165. | MR | Zbl

[9] S.C. Port, Hitting times and potentials for recurrent stable processes, J. Anal. Math. 20 (1967) 371-395. | MR | Zbl

[10] S.C. Port, C.J. Stone, Brownian Motion and Classical Potential Theory, Academic Press, New York, 1978. | MR | Zbl

[11] S.C. Port, Asymptotic expansions for the expected volume of a stable sausage, Ann. Probab. 18 (1990) 492-523. | MR | Zbl

[12] F. Spitzer, Electrostatic capacity, heat flow and Brownian motion, Z. Wahrsch. Verw. Geb. 3 (1964) 110-121. | MR | Zbl

[13] A.-S. Sznitman, Brownian Motion, Obstacles and Random Media, Springer-Verlag, Berlin, 1998. | MR | Zbl

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