On the continuity of the time constant of first-passage percolation
Keyword(s):
Let U be the distribution function of the non-negative passage time of an individual edge of the square lattice, and let a0n be the minimal passage time from (0, 0) to (n, 0). The process a0n/n converges in probability as n → ∞to a finite constant μ (U) called the time constant. It is proven that μ (Uk )→ μ(U) whenever Uk converges weakly to U.
Keyword(s):
1980 ◽
Vol 12
(04)
◽
pp. 848-863
◽
1977 ◽
Vol 9
(01)
◽
pp. 38-54
◽
1980 ◽
Vol 12
(04)
◽
pp. 864-879
◽
1981 ◽
Vol 18
(01)
◽
pp. 256-262
◽
Keyword(s):
2002 ◽
Vol 11
(5)
◽
pp. 433-445
◽
Keyword(s):