The Local Structure of Random Processes

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A pure jump Markov process with a random singularity spectrum (2009, background): “The notion of tangent processes was, for instance, studied in [13].”
Wavelet construction of Generalized Multifractional processes. (2007, background): “We refer to the recent works of Falconer [18, 19] for an extensive study of the notion of tangent process.”
Stochastic properties of the linear multifractional stable motion (2004, unknown): “However, in contrast to Falconer (2003), we are not dealing with path-wise convergence in a Skorokhod space, but with the convergence of the finite-dimensional distributions (see also Falconer (2002)); we will say simply that {Y (t)}t∈R is locally equivalent to {Z(t)}t∈R at t = t0.”
Multifractional, Multistable, and Other Processes with Prescribed Local Form (2008, background): “However, much more is true: under quite general conditions Y ′ u must be self-similar with stationary increments (sssi) at almost all u at which it is strongly localisable, that is r(Y ′ u(u + rt) − Y ′ u(u)) = Y ′ u(t) for all u and r > 0, see [8, 9].”