| A double phase transition arising from Brownian entropic repulsion (2008) | |||||||||
Abstract | |||||||||
| We analyze one-dimensional Brownian motion conditioned on a self-repelling behaviour. In the main result of this paper, it is shown that a double phase transition occurs when the growth of the local time at the origin is constrained (in a suitable way) to be slower than the function f(t)= \sqrt{t}(\log t)^{-c} at every time. In the subcritical phase (c. Comment: 3 figures. Several typos corrected and result in Theorem 4 improved | |||||||||
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