Meeting time Random Walk

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I am interesting to calculate a meeting time of two nodes which move according to continuous time random walk in 2D space.

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I assume with "continuous time random walk" you mean a brownian motion.

Check Theorem 3.3 in this lecture notes where it's shown that two independent brownian motions intersect iff the dimension is less or equal then 3.

So, in 2D space they intersect almost surely…