@article{AIHPA_1996__64_3_339_0, author = {Peres, Yuval}, title = {Remarks on intersection-equivalence and capacity-equivalence}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {339--347}, publisher = {Gauthier-Villars}, volume = {64}, number = {3}, year = {1996}, mrnumber = {1400296}, zbl = {0854.60077}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1996__64_3_339_0/} }
Peres, Yuval. Remarks on intersection-equivalence and capacity-equivalence. Annales de l'I.H.P. Physique théorique, Tome 64 (1996) no. 3, pp. 339-347. http://www.numdam.org/item/AIHPA_1996__64_3_339_0/
[1] Martin capacity for Markov chains, Ann. Probab., Vol. 23, 1994, pp. 1332-1346. | MR | Zbl
, and ,[2] Random walks on a tree and capacity in the interval, Ann. Inst. Henri Poincaré, Vol. 28, 1992, pp. 557-592. | Numdam | MR | Zbl
and ,[3] Probabilistic approach in potential theory to the equilibrium problem, Ann. Inst. Fourier, Grenoble, Vol. 23, 1973, pp. 313-322. | Numdam | MR | Zbl
,[4] Super-Brownian motion: Path properties and hitting probabilities, Probab. Th. Rel. Fields, Vol. 83, 1989, pp. 135-206. | MR | Zbl
, and ,[5] Capacity and energy for multiparameter Markov processes, Ann. Inst. Henri Poincarè, Probab., Vol. 25, 1989, pp. 325-350. | Numdam | MR | Zbl
and ,[6] The exact Hausdorff dimension in random recursive constructions, Memoirs, the American Mathematical Society, Providence, Rhode Island. | Zbl
, and ,[7] Local properties of some Gaussian processes, Zeits. Wahr. verw. Geb., Vol. 40, 1977, pp. 309-315. | MR | Zbl
,[8] Potential theory of Lévy processes, Proc. London Math. Soc., (3), Vol. 38, 1979, pp. 335-352. | MR | Zbl
,[9] Trees generated by a simple branching process, J. London Math. Soc., Vol. 24, 1981, pp. 373-384. | MR | Zbl
,[10] Some random series of functions, Second edition, Cambridge University Press, 1985. | MR | Zbl
,[11] Random walks and percolation on trees, Ann. Probab., Vol. 18, 1990, pp. 931-958. | MR | Zbl
,[12] Random walks, capacity and percolation on trees, Ann. Probab., Vol. 20, 1992, pp. 2043-2088. | MR | Zbl
,[13] Renewal sets and random cutouts, Zeits. Wahr. verw. Geb., Vol. 22, 1972, pp. 145-157. | MR | Zbl
,[14] Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier, J. of Fluid Mechanics, Vol. 62, 1974, pp. 331-358. | Zbl
,[15] Some fundamental geometrical properties of plane sets of fractional dimensions, Proc. London Math. Soc., Vol. 4, 1954, pp. 257-302. | MR | Zbl
,[16] Hausdorff dimension, orthogonal projections and intersections with planes, Ann. Acad. Sci. Fenn., Ser. A, Math., Vol. 1, 1975, pp. 227-244. | MR | Zbl
,[17] Galton-Watson trees with the same mean have the same polar sets, Ann. Probab., Vol. 23, 1995, pp. 1102-1124. | MR | Zbl
and ,[18] The trace of spatial Brownian motion is capacity-equivalent to the unit square, to appear in Probab. Th. Rel. Fields, 1996. | MR | Zbl
, and ,[19] Intersection-equivalence of Brownian paths and certain branching processes, to appear in Comm. Math. Phys., 1996. | MR | Zbl
,