output
19932023
most citedGibrat's law for cities: uniformly most powerful unbiased test of the Pareto against the lognormal

184 citations

Showing 2015Show all

7 papers · 1 filter

math.CV2015★ 8 cited

Generalized analytic functions, Moutard-type transforms and holomorphic maps

P. G. Grinevich, R. G. Novikov

We continue the studies of Moutard-type transform for generalized analytic functions started in our previous paper: arXiv:1510.08764. In particular, we suggest an interpretation of…

math.AP2015★ 10 cited

Moutard transform for the generalized analytic functions

P. G. Grinevich, R. G. Novikov

We construct a Moutard-type transform for the generalized analytic functions. The first theorems and the first explicit examples in this connection are given.

math.PR2015★ 15 cited

Variance reduction for discretised diffusions via regression

Denis Belomestny, Stefan Häfner, Tigran Nagapetyan +1

In this paper we present a novel approach towards variance reduction for discretised diffusion processes. The proposed approach involves specially constructed control variates and…

math.DS2015★ 13 cited

Asymptotic stability of pseudo-simple heteroclinic cycles in R^4

Olga Podvigina, Pascal Chossat

Robust heteroclinic cycles in equivariant dynamical systems in R^4 have been a subject of intense scientific investigation because, unlike heteroclinic cycles in R^3, they can have…

math.NA2015★ 26 cited

The Cauchy-Lagrangian method for numerical analysis of Euler flow

O. Podvigina, V. Zheligovsky, U. Frisch

A novel semi-Lagrangian method is introduced to solve numerically the Euler equation for ideal incompressible flow in arbitrary space dimension. It exploits the time-analyticity of…

physics.geo-ph2015★ 1 cited

Stochastic earthquake source model: the omega-square hypothesis and the directivity effect

G. Molchan

Recently A. Gusev suggested and numerically investigated the doubly stochastic earthquake source model. The model is supposed to demonstrate the following features in the far-field…

physics.flu-dyn2015★ 9 cited

Negative magnetic eddy diffusivities from test-field method and multiscale stability theory

Alexander Andrievsky, Axel Brandenburg, Alain Noullez +1

The generation of large-scale magnetic field in the kinematic regime in the absence of an alpha-effect is investigated by following two different approaches, namely the test-field…