On sojourn of Brownian motion inside moving boundaries
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🧮 math.PR
math.MG
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browniandimensionsetsboundariesmacroscopicmotionmovingsojourn
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We investigate the large scale structure of certain sojourn sets of one dimensional Brownian motion within two-sided moving boundaries. The macroscopic Hausdorff dimension, upper mass dimension and logarithmic density of these sets are computed. We also give a uniform macroscopic dimension result for the Brownian level sets.
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