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math.PR2023
Level crossings of fractional Brownian motion
Purba Das, Rafał Łochowski, Toyomu Matsuda +1
Since the classical work of Lévy, it is known that the local time of Brownian motion can be characterized through the limit of level crossings. While subsequent extensions of this…
math.PR2023★ 4 cited
Hölder regularity and roughness: construction and examples
Erhan Bayraktar, Purba Das, Donghan Kim
We study how to construct a stochastic process on a finite interval with given `roughness' and finite joint moments of marginal distributions. We first extend Ciesielski's isomorph…