Total characters 17,358. (2009)
A. Eremenko, D Novikov, Alexandre Eremenko
Abstract. We prove an old conjecture on oscillation of functions that have a spectral gap at the origin. Suppose that the Fourier transform of a real measure f on the real line satisfies ˆ f(x)...
Linear estimate for the number of zeros of Abelian integrals (2009)
We prove a linear in $\deg\omega$ upper bound on the number of real zeros of the Abelian integral $I(t)=\int_{\delta(t)}\omega$, where $\delta(t)\subset\R^2$ is the real oval $x^2y(1-x-y)=t$ and...
A. Gabrielov, D. Novikov, B. Shapiro
To Vladimir Igorevich Arnold who taught us to study classics 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...
A direct proof of one Gromov's theorem (2008)
Burago, Yu. D., Malev, S. G., Novikov, D.
We give a new proof of the Gromov theorem: For any $C>0$ and integer $n>1$ there exists a function $\Delta_{C,n}$ such that if the Gromov--Hausdorff distance between complete Riemannian $n$-manifolds...
Mystery of point charges (2007)
Gabrielov, A., Novikov, D., Shapiro, B.
We discuss the problem of finding an upper bound for the number of equilibrium points of a potential of several fixed point charges in ℝn. This question goes back to J. C. Maxwell and M. Morse....
The three dimensional skeleton: tracing the filamentary structure of the universe (2007)
Sousbie, T., Pichon, C., Colombi, S., Novikov, D., Pogosyan, D.
The skeleton formalism aims at extracting and quantifying the filamentary structure of the universe is generalized to 3D density fields; a numerical method for computating a local approximation of...
T. Leisegang, A.A. Levin, E. Gutmann, H. Stöcker, M. Zschornak, ...
Internal report | Preprint
Anisotropy of Anomalous Dispersion in Rutile TiO2 (2007)
M. Zschornak, T. Leisegang, E. Gutmann, H. Stöcker, D. Novikov, ...
Internal report | Preprint
Structural effect of Fe doping in YMn2−xFexO5 (2007)
F. Wunderlich, T. Weissbach, Th. Führlich, J. Dshemuchadse, T. Leisegang, ...
Internal report | Preprint
Meandering of trajectories of polynomial vector fields in the affine (2006)
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in
Hahn decomposition and Radon-Nikodym theorem with a parameter (2005)
The paper contains a simple proof of the classical Hahn decomposition theorem for charges and, as a corollary, an explicit measurable in parameter construction of a Radon-Nikodym derivative of one...
Oscillation of Fourier Integrals with a spectral gap (2003)
Suppose that Fourier transform of a function f is zero on the interval [-a,a]. We prove that the lower density of sign changes of f is at least a/pi, provided that f is a locally integrable temperate...
Oscillation of Fourier Integrals with a spectral gap (2003)
Suppose that for a real function f on the real line, the support of its Fourier transform is disjoint from an interval (-a, a). We prove the conjecture of B. Logan that under these assumptions the...
Oscillation of Fourier Integrals with a spectral gap (2003)
Suppose that for a real function f on the real line, the support of its Fourier transform is disjoint from an interval (−a, a). We prove the conjecture of B. Logan that under these assumptions the...
Lectures on meromorphic flat connections (2002)
These notes form an extended version of a minicourse delivered in Universite de Montreal (June 2002) within the framework of a NATO workshop ``Normal Forms, Bifurcations and Finiteness Problems in...
Convex-concave body in $\mathbb{R}P^3$ contains a line (2002)
We define a class of $L$-convex-concave subsets of $\mathbb{R}P^3$, where $L$ is a projective line in $\mathbb{R}P^3$. These are sets whose sections by any plane containing $L$ are convex and...
On affine hypersurfaces with everywhere nondegenerate Second Quadratic Form (2002)
Consider a closed connected hypersurface in $\mathbb{R}^n$ with constant signature (k,l) of the second quadratic form, and approaching a quadratic cone at infinity. This hypersurface divides...
L-convex-concave sets in real projective space and L-duality (2002)
We define a class of L-convex-concave subsets of $\Bbb{R}P^n$, where L is a projective subspace of dimension l in $\Bbb{R}P^n$. These are sets whose sections by any (l+1)-dimensional space L'...
Online at stacks.iop.org/Non/15/1435 (2002)
We give a simple proof of an isomorphism between two C(t)-modules corresponding to bivariate polynomial H with non-degenerate highest homogeneous part: the module of relative cohomologies � 2 /dH...
Modules of Abelian integrals and Picard-Fuchs systems (2001)
We give a simple proof of an isomorphism between the two $\mathbb{C}[t]$-modules: the module of relative cohomologies $\Lambda^2/dH\land \Lambda^1$ and the module of Abelian integrals corresponding...
Estimation of Signal and Noise Parameters from CMB Polarization Observations (2000)
Naselsky, P., Novikov, D., Novikov, I., Silk, J.
We propose a technique for determination of the spectral parameters of the cosmological signal and pixel noise using observational data on CMB polarization without any additional assumptions. We...
Peculiarities of anisotropy and polarization as an indicator of noises in the CMB maps (2000)
Kotok, E., Naselsky, P., Novikov, D., Novikov, I.
We discuss some new problems of the modern cosmology which arose after the BOOMERANG and MAXIMA-1 successful missions. Statistics of high peaks of the CMB anisotropy is analyzed and we discuss...
An elementary example shows that the number of zeroes of a component of a solution of a system of linear ordinary differential equations cannot be estimated through the norm of coefficients of the...
Amplitude-Phase Analysis of Cosmic Microwave Background maps (2000)
Naselsky, P., Novikov, D., Silk, Joseph
We propose a novel method for the extraction of unresolved point sources from CMB maps. This method is based on the analysis of the phase distribution of the Fourier components for the observed...
Power filtration of CMB observational data (2000)
Novikov, D., Naselsky, P., Jorgensen, H. E., Christensen, P. R., Novikov, I., Norgaard-Nielsen, H. U.
We propose a power filter Gp for linear reconstruction of the CMB signal from observational maps. This Gp filter preserves the power spectrum of the CMB signal in contrast to the Wiener filter which...
Redundant Picard-Fuchs system for Abelian integrals (2000)
We derive an explicit system of Picard-Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that the...
Redundant Picard-Fuchs System for Abelian Integrals (2000)
. We derive an explicit system of Picard--Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that...
Geometry and Statistics of Cosmic Microwave Polarization (1999)
Dolgov, A., Doroshkevich, A., Novikov, D., Novikov, I.
Geometrical and statistical properties of polarization of CMB are analyzed. Singular points of the vector field which describes CMB polarization are found and classified. Statistical distribution of...
Tangential Hilbert Problem For Perturbations Of Hyperelliptic Hamiltonian Systems (1999)
D. Novikov, S. Yakovenko, Communicated Jeff Xia
. The tangential Hilbert 16th problem is to place an upper bound for the number of isolated ovals of algebraic level curves {H(x, y)=const} over which the integral of a polynomial 1-form P (x, y) dx...
Tangential Hilbert Problem for Perturbations of Hyperelliptic Hamiltonian Systems (1999)
. The tangential Hilbert 16th problem is to place an upper bound for the number of isolated ovals of algebraic level curves fH(x; y) = constg over which the integral of a polynomial 1-form P (x; y)...
Minkowski Functionals and Cluster Analysis for CMB Maps (1998)
Novikov, D., Feldman, Hume A., Shandarin, Sergei F.
We suggest novel statistics for the CMB maps that are sensitive to non-Gaussian features. These statistics are natural generalizations of the geometrical and topological methods that have been...
Meandering of trajectories of polynomial vector fields in the affine $n$-space (1997)
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in $\Bbb R^n$ and an affine hyperplane. The problem turns out to be...
Meandering of trajectories of polynomial vector fields in the affine n-space (1997)
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane. The problem turns out to be closely...
Meandering of trajectories of polynomial vector fields in the affine n-space (1997)
Novikov, D., Yakovenko, Sergei
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in $\Bbb R^n$ and an affine hyperplane. The problem turns out to be...
Novikov, D, Fransen, Marc; U0002737, Goethals, M, Dieuaide-Noubhani, M, Baumgart, Eveline; U0005659, Vanhooren, J C, ...
Recently, we purified five 3-hydroxyacyl-CoA dehydrogenases from isolated rat liver peroxisomal fractions. The enzymes were designated I-V according to their order of elution from the first column...
. We prove a complex analytic analog of the classical Rolle theorem asserting that the number of zeros of a real smooth function can exceed that of its derivative at most by 1. This result is used...
Simple Exponential Estimate For The Number Of Real Zeros Of Complete Abelian Integrals (1995)
this paper is an upper bound for the total number of real isolated zeros of complete Abelian integrals, exponential in the degree of the form (Theorem 1 below). This result improves a previously...
Kossel diffraction and X-ray standing waves : two birds of one feather (1994)
Gog, Th., Novikov, D., Falta, J., Hille, A., Materlik, G.
By virtue of the optical reciprocity theorem, Bragg-case Kossel diffraction in perfect crystals can be viewed as the reverse process of x-ray standing waves (XSW) in the sense that the location of...
Kossel diffraction and X-ray standing waves : two birds of one feather (1994)
Gog, Th., Novikov, D., Falta, J., Hille, A., Materlik, G.
By virtue of the optical reciprocity theorem, Bragg-case Kossel diffraction in perfect crystals can be viewed as the reverse process of x-ray standing waves (XSW) in the sense that the location of...
Kossel diffraction and X-ray standing waves : two birds of one feather (1994)
Gog, Th., Novikov, D., Falta, J., Hille, A., Materlik, G.
By virtue of the optical reciprocity theorem, Bragg-case Kossel diffraction in perfect crystals can be viewed as the reverse process of x-ray standing waves (XSW) in the sense that the location of...
Redundant Picard-Fuchs System for Abelian Integrals (0000)
We derive an explicit system of Picard-Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that the...
Oscillation of functions with a spectral gap
We prove an old conjecture on oscillation of functions that have a spectral gap at the origin. Suppose that the Fourier transform of a real measure f on the real line satisfies f̂(x) = 0 for x ∈...
Dieuaide-Noubhani, M, Novikov, D, Vandekerckhove, J, Veldhoven, P P, Mannaerts, G P
In this study we attempted to determine the number of 2-enoyl-CoA hydratases involved in peroxisomal beta-oxidation. We therefore separated peroxisomal proteins from rat liver on several...
Oscillation of functions with a spectral gap
We prove an old conjecture on oscillation of functions that have a spectral gap at the origin. Suppose that the Fourier transform of a real measure f on the real line satisfies f̂(x) = 0 for x ∈...
Dieuaide-Noubhani, M, Novikov, D, Vandekerckhove, J, Veldhoven, P P, Mannaerts, G P
In this study we attempted to determine the number of 2-enoyl-CoA hydratases involved in peroxisomal beta-oxidation. We therefore separated peroxisomal proteins from rat liver on several...
Redundant Picard-Fuchs System for Abelian Integrals
We derive an explicit system of Picard-Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that the...