12 citations · 12 across the 2 of their papers we have counts for
10 papers
Extrapolation and interpolation of asymptotic series by self-similar approximants
V. I. Yukalov, E. P. Yukalova, S. Gluzman
The problem of extrapolation and interpolation of asymptotic series is considered. Several new variants of improving the accuracy of the self-similar approximants are suggested. Th…
Optimization of self-similar factor approximants
V. I. Yukalov, S. Gluzman
The problem is analyzed of extrapolating power series, derived for an asymptotically small variable, to the region of finite values of this variable. The consideration is based on…
Self-Similar Factor Approximants
S. Gluzman, V. I. Yukalov, D. Sornette
The problem of reconstructing functions from their asymptotic expansions in powers of a small variable is addressed by deriving a novel type of approximants. The derivation is base…
Slider-Block Friction Model for Landslides: Application to Vaiont and La Clapiere Landslides
A. Helmstetter, D. Sornette, J. -R. Grasso +3
Accelerating displacements preceding some catastrophic landslides have been found empirically to follow a time-to-failure power law, corresponding to a finite-time singularity of t…
Classification of Possible Finite-Time Singularities by Functional Renormalization
Simon Gluzman, Didier Sornette
Starting from a representation of the early time evolution of a dynamical system in terms of the polynomial expression of some observable f (t) as a function of the time variable i…
Log-periodic route to fractal functions
S. Gluzman, D. Sornette
Log-periodic oscillations have been found to decorate the usual power law behavior found to describe the approach to a critical point, when the continuous scale-invariance symmetry…