Fluctuations in P(#), Processes
نویسنده
چکیده
Princeton University Let H = -d2/dx2 + P(x) on L2(W, dx) and let E = inf spec ( H ) . Let be a normalized vector with H a = E n . Let q(t)be the Markov process with generator G = a-l(H E ) a , which is a Brownian motion with drift. We investigate behavior of q(t)as t oo and in particular prove that if P(x)= azmx2m + . . + ao; azm > 0, then lim supt,, 1if'q(s) ds/(ln t)'Izm = ( ~ z m ) ' / ~ ~
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