71 citations · 96 across the 5 of their papers we have counts for
5 papers
Inverse Cascade in Percolation Model: Hierarchical Description of Time-dependent Scaling
Andrei Gabrielov, Henry Hang Lam Wong, Ilya Zaliapin
The dynamics of a 2D site percolation model on a square lattice is studied using the hierarchical approach introduced by Gabrielov et al., Phys. Rev. E, 60, 5293-5300, 1999. The ke…
Mystery of point charges
Andrei Gabrielov, Dmitry Novikov, Boris Shapiro
We discuss the problem of finding an upper bound for the number of equilibrium points of a potential of several fixed point charges in R^n. This question goes back to J.C.Maxwell a…
Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
A. Eremenko, A. Gabrielov
Suppose that 2d-2 tangent lines to the rational normal curve z\mapsto (1 : z : ... : z^d) in d-dimensional complex projective space are given. It was known that the number of codim…
Reverse Detection of Short-Term Earthquake Precursors
V. Keilis-Borok, P. Shebalin, A. Gabrielov +1
We introduce a new approach to short-term earthquake prediction based on the concept of selforganization of seismically active fault networks. That approach is named "Reverse Detec…
Multiscale Trend Analysis
I. Zaliapin, A. Gabrielov, V. Keilis-Borok
This paper introduces a multiscale analysis based on optimal piecewise linear approximations of time series. An optimality criterion is formulated and on its base a computationally…