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Article overview
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The alternating marked point process of h-slopes of the drifted Brownian motion | A. Faggionato
; | Date: |
1 Aug 2007 | Abstract: | We show that the slopes between h-extrema of the drifted 1D Brownian motion
form a stationary alternating marked point process, extending the result of J.
Neveu and J. Pitman for the non drifted case. Our analysis covers the results
on the statistics of h-extrema obtained by P. Le Doussal, C. Monthus and D.
Fisher via a Renormalization Group analysis and gives a complete description of
the slope between h-extrema covering the origin by means of the Palm--Khinchin
theory. Moreover, we analyze the behavior of the Brownian motion near its
h-extrema. | Source: | arXiv, 0708.0128 | Services: | Forum | Review | PDF | Favorites |
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