On the infinite differentiability of the right edge in the supercritical oriented percolation

[摘要] Consider the oriented percolation model. Let r(n) be the right edge. By a subadditive argument, it is known that lim(n-->infinity) r(n)/n = alpha(p) a.s. and in L-1. In this paper, we show alpha(p) is infinitely differentiable in p for all 1 > p > p(c). (C) 2004 Elsevier B.V. All rights reserved.

[发布日期] 2004-12-01

[关键词] the right edge;oriented percolation;supercritical phase;differentiability