Title: Path-by-path regularization by noise for scalar conservation laws,
Abstract: We prove a path-by-path regularization by noise result for scalar
conservation laws. In particular, this proves regularizing properties for
scalar conservation laws driven by fractional Brownian motion and generalizes
the respective results obtained in [Gess, Souganidis; Comm. Pure Appl. Math.
(2017)]. In addition, we introduce a new path-by-path scaling property which is
shown to be sufficient to imply regularizing effects.