19 citations · 99 across the 20 of their papers we have counts for
20 papers
The persistence exponents of Gaussian random fields connected by the Lamperti transform
George Molchan
The (fractional) Brownian sheet is a simplest example of a Gaussian random field X whose covariance is the tensor product of a finite number (d) of nonnegative correlation function…
Leadership exponent in the pursuit problem for 1-D random particles
G. Molchan
For n + 1 particles moving independently on a straight line, we study the question of how long the leading position of one of them can last. Our focus is the asymptotics of the pro…
Gusev's stochastic model for the seismic source: high-frequency behavior in the far zone
G. M. Molchan
This paper discusses local features in the source function that generate in the far zone simultaneously (a) a quadratic decay of the source spectrum and (b) the loss of radiation d…
Fractal seismicity and seismic risk
G. M. Molchan
Recently, attempts have been made to take into account the fractal properties of seismicity when mapping the long-term rate of earthquakes. The paper touches upon the theoretical a…
Factional Brownian motion with multivariate time in a large convex area: persistence exponents
G. Molchan
The fractional Brownian motion of index , H-FBM, with d-dimensional time is considered on an expanding set TG, where G is a bounded convex domain that contains 0 at its…
Comment on "Assessing CN earthquake predictions in Italy" by M. Taroni, W. Marzocchi, P. Roselli
G. Molchan, A. Peresan, G. F. Panza +2
The paper by Taroni et al. (2016) considers results of forward prediction of Italian strong earthquakes by CN algorithm with the declared intent of providing "a careful assessment…