Institute of Earthquake Prediction Theory and Mathematical Geophysics

output

19932023

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

184 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

104 papers

physics.geo-ph2023★ 6 cited

On the external forcing of global eruptive activity in the past 300 years

J-L. Le Mouël, D. Gibert, V. Courtillot +11

The decryption of the temporal sequence of volcanic eruptions is a key step in better anticipating future events. Volcanic activity is the result of a complex interaction between i…

cond-mat.stat-mech2022★ 11 cited

$1/ φ$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile

Alexander Shapoval, Mikhail Shnirman

With the original Bak-Tang-Wisenefeld (BTW) sandpile we uncover the $1/ φ$ noise in the mechanism maintaining self-organized criticality (SOC) - the question raised together with th…

physics.geo-ph2022★ 4 cited

Productivity within the ETAS seismicity model

George Molchan, Elisa Varini, Antonella Peresan

The productivity of a magnitude $m$ event can be characterized in term of triggered events of magnitude above $m - Δ$ : it is the number of direct "descendants" $ν_{Δ}$ and the number o…

math.NA2022★ 8 cited

Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions

Mikhail Isaev, Roman G. Novikov, Grigory V. Sabinin

We implement numerically formulas of [Isaev, Novikov, arXiv:2107.07882] for finding a compactly supported function $v$ on $R^{d}$ , $d \geq 1$ , from its Fourier transform $\ma…

math.AP2021★ 3 cited

Space analyticity and bounds for derivatives of solutions to the evolutionary equations of diffusive magnetohydrodynamics

Vladislav Zheligovsky

In 1981, Foias, Guillopé and Temam proved a priori estimates for arbitrary-order space derivatives of solutions to the Navier-Stokes equation. Such bounds are instructive in the nu…

math.PR2021★ 6 cited

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…

cond-mat.stat-mech2021★ 6 cited

$1/ x$ Probability Distribution in a Close Proximity of the Bak-Tang-Wiesenfeld Sandpile

A. Shapoval, B. Shapoval, M. Shnirman

The mechanism of self-organized criticality is based on a steady slow loading and a quick huge stress-release. We add the clustering of the events in space and time to the Bak-Tang…

math.OC2021★ 2 cited

Decentralized Distributed Optimization for Saddle Point Problems

Alexander Rogozin, Aleksandr Beznosikov, Darina Dvinskikh +3

We consider distributed convex-concave saddle point problems over arbitrary connected undirected networks and propose a decentralized distributed algorithm for their solution. The…

astro-ph.EP2021★ 2 cited

Impact of a moon on the evolution of a planet's obliquity: a non-resonant case

O. M. Podvigina, P. S. Krasilnikov

We investigate how the variation of the obliquity (the axial tilt) of a hypothetical exo-Earth is effected by the presence of a satellite, an exo-Moon. Namely, we study analyticall…

math.CA2020★ 9 cited

Hölder-logarithmic stability in Fourier synthesis

Mikhail Isaev, Roman G. Novikov

We prove a Hölder-logarithmic stability estimate for the problem of finding a sufficiently regular compactly supported function $v$ on $R^{d}$ from its Fourier transform $\m…

math.PR2020★ 1 cited

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…

math-ph2019

Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

P. G. Grinevich, R. G. Novikov

We continue to develop the method for creation and annihilation of contour singularities in the $\partial ˉ$ --spectral data for the two-dimensional Schrödinger equation at fixed…

physics.flu-dyn2019★ 7 cited

Computation of kinematic and magnetic $α$ -effect and eddy diffusivity tensors by Padé approximation

Sílvio M. A. Gama, Roman Chertovskih, Vladislav Zheligovsky

We present examples of Padé approximation of the $α$ -effect and eddy viscosity/diffusivity tensors in various flows. Expressions for the tensors derived in the framework of the sta…

physics.geo-ph2019

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…

math.NT2019★ 1 cited

Ramanujan's theorem and highest abundant numbers

Oleg R. Musin

In 1915, Ramanujan proved asymptotic inequalities for the sum of divisors function, assuming the Riemann hypothesis (RH). We consider a strong version of Ramanujan's theorem and de…

math.DS2019★ 10 cited

Asymptotic stability of robust heteroclinic networks

Olga Podvigina, Sofia B. S. D. Castro, Isabel S. Labouriau

We provide conditions guaranteeing that certain classes of robust heteroclinic networks are asymptotically stable. We study the asymptotic stability of ac-networks --- robust heter…

physics.flu-dyn2018★ 5 cited

Pointwise vanishing velocity helicity of a flow does not preclude magnetic field generation

Alexander Andrievsky, Roman Chertovskih, Vladislav Zheligovsky

Pointwise zero velocity helicity density is shown not to prevent steady flows from acting as kinematic dynamos. We present numerical evidences that such flows can generate both sma…

math.AP2018★ 23 cited

An iterative approach to monochromatic phaseless inverse scattering

Alexey Agaltsov, Thorsten Hohage, Roman Novikov

This paper is concerned with the inverse problem to recover a compactly supported Schr{ö}dinger potential given the differential scattering cross section, i.e. the modulus, but not…

math.PR2018★ 3 cited

Integrated fractional Brownian motion: persistence probabilities and their estimates

G. Molchan

The problem is a log-asymptotics of the probability that the Integrated fractional Brownian motion of index 0<H<1 does not exceed a fixed level during long time. For the growing ti…

math.DS2018★ 6 cited

Simple heteroclinic networks in $R^{4}$

Olga Podvigina, Alexander Lohse

We classify simple heteroclinic networks for a $Γ$ -equivariant system in $R^{4}$ with finite $Γ \subset O (4)$ , proceeding as follows: we define a graph associated with…

math-ph2018★ 1 cited

Moutard transform for the conductivity equation

P. G. Grinevich, R. G. Novikov

We construct Darboux-Moutard type transforms for the two-dimensional conductivity equation. This result continues our recent studies of Darboux-Moutard type transforms for generali…

math.DS2017

Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection

Olga Podvigina, Sofia B. S. D. Castro, Isabel S. Labouriau

This article is concerned with three heteroclinic cycles forming a heteroclinic network in $R^{6}$ . The stability of the cycles and of the network are studied. The cycles a…

physics.flu-dyn2017★ 3 cited

Negative magnetic eddy diffusivity due to oscillogenic $α$ -effect