Regularity and localized representations of random-phase textures

(b) The electric field and volume fraction phase diagram for 0:8 m silica particles (sample thickness, 35 – 45 m ); empty circles, void phase; empty triangles, string-

A fragmentation occurs in the random permutation when a transposition occurs between two integers in the same σ-cycle, so tree components in the random graph correspond to cycles in

As a consequence of Theorem 1.4, using the results of [24], one shows that one has convergence of the unfolded local level spacings distribution at any point of the almost sure

In this article, we prove that for the whole class of walks with small steps and zero drift killed at the boundary of the quadrant Z 2 + , there exists exactly one non-zero

As indicated in section 2, search- ing non singular director field (of nematic or blue phases) is equivalent to finding non singular

In a previous article, we introduced the first passage set (FPS) of constant level −a of the two-dimensional continuum Gaussian free field (GFF) on finitely connected

Thus, we do not consider here the decay parameter or the convergence rate of ergodic Markov chains in the usual Hilbert space L 2 (π) which is related to spectral properties of

Keywords Hölder regularity · anisotropy · fractional Brownian eld · quadratic variations · texture analysis · photographic paper..