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

184 citations

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

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11 papers · 1 filter

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.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.AP2016★ 18 cited

On Global attraction to solitary waves for Klein-Gordon equation with concentrated nonlinearity

Elena Kopylova

The global attraction is proved for the nonlinear 3D Klein-Gordon equation with a nonlinearity concentrated at one point. Our main result is the convergence of each "finite energy…

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.AP2014★ 9 cited

Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem

Mikhail Isaev, Roman Novikov

We give effectivized Holder-logarithmic energy and regularity dependent stability estimates for the Gel'fand inverse boundary value problem in dimension . This effectivization…

math.AP2013★ 75 cited

Time-analyticity of Lagrangian particle trajectories in ideal fluid flow

Vladislav Zheligovsky, Uriel Frisch

It is known that the Eulerian and Lagrangian structures of fluid flow can be drastically different; for example, ideal fluid flow can have a trivial (static) Eulerian structure, wh…

math.AP2013★ 58 cited

Hypoelliptic diffusion and human vision: a semi-discrete new twist

Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier +1

This paper presents a semi-discrete alternative to the theory of neurogeometry of vision, due to Citti, Petitot and Sarti. We propose a new ingredient, namely working on the group…

math.AP2012★ 31 cited

A very smooth ride in a rough sea

U. Frisch, V. Zheligovsky

It has been known for some time that a 3D incompressible Euler flow that has initially a barely smooth velocity field nonetheless has Lagrangian fluid particle trajectories that ar…

math.AP2011★ 2 cited

Optimal transport by omni-potential flow and cosmological reconstruction

Uriel Frisch, Olga Podvigina, Barbara Villone +1

One of the simplest models used in studying the dynamics of large-scale structure in cosmology, known as the Zeldovich approximation, is equivalent to the three-dimensional invisci…

math.AP2011★ 25 cited

Monochromatic reconstruction algorithms for two-dimensional multi-channel inverse problems

Roman Novikov, Matteo Santacesaria

We consider two inverse problems for the multi-channel two-dimensional Schrödinger equation at fixed positive energy, i.e. the equation at fixed positive , whe…

math.AP2010★ 1 cited

A priori bounds for Gevrey-Sobolev norms of space-periodic three-dimensional solutions to equations of hydrodynamic type

V. Zheligovsky

We present a technique for derivation of a priori bounds for Gevrey-Sobolev norms of space-periodic three-dimensional solutions to evolutionary partial differential equations of hy…