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Vladimir I. Arnold

Vladimir I. Arnold

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Mathematics
Russia
2022

D-Index & Metrics

Mathematics

D-Index
65
Citations
59167
World Ranking
372
National Ranking
1

Research.com Recognitions

  • 2022 - Research.com Mathematics in Russia Leader Award
  • 2001 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
  • 2001 - Wolf Prize in Mathematics for his deep and influential work in a multitude of areas of mathematics, including dynamical systems, differential equations, and singularity theory.
  • 1983 - Member of the National Academy of Sciences

Overview

Vladimir I. Arnold was affiliated with the Russian Academy of Sciences in the Russian Federation. Their research contributions spanned various domains, with a significant focus on biochemistry, genetics, molecular biology, and materials science.

The main topics covered in their studies included:

  • Advanced Electron Microscopy Techniques and Applications
  • Enzyme Structure and Function
  • Crystallography and Radiation Phenomena
  • X-ray Diffraction in Crystallography
  • Protein Structure and Dynamics
  • Advanced X-ray Imaging Techniques
  • Computational Drug Discovery Methods

The scientist's work was frequently published in notable venues such as:

  • bioRxiv (Cold Spring Harbor Laboratory)
  • Mathematical Biology and Bioinformatics
  • Acta Crystallographica Section D Structural Biology
  • Acta Crystallographica Section A Foundations and Advances
  • arXiv (Cornell University)

Among their recent papers were:

  • "Analytic modeling of inhomogeneous-resolution maps in cryo-electron microscopy and crystallography," 2022, IUCrJ
  • "Direct calculation of cryo-EM and crystallographic model maps for real-space refinement," 2022, Acta Crystallographica Section D Structural Biology
  • "Toward Real Real-Space Refinement of Atomic Models," 2022, International Journal of Molecular Sciences
  • "Local heterogeneity analysis of crystallographic and cryo-EM maps using shell-approximation," 2023, Current Research in Structural Biology
  • "Algorithms and programs for the shell decomposition of oscillating functions in space," 2022, Journal of Applied Crystallography

Their research network included frequent collaboration with the following coauthors:

  • Alexandre Urzhumtsev
  • Natalia L. Lunina
  • Ludmila Urzhumtseva
  • T. Petrova
  • T.E. Petrova

Vladimir I. Arnold's work addressed subfields such as:

  • Materials Chemistry
  • Structural Biology
  • Molecular Biology
  • Condensed Matter Physics
  • Radiation

Their academic recognition included several awards:

  • Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics, 2001
  • Wolf Prize in Mathematics, 2001, for contributions to dynamical systems, differential equations, and singularity theory
  • Member of the National Academy of Sciences, 1983

Best Publications

  • Mathematical Methods of Classical Mechanics

    Vladimir Igorevič Arnol'd

  • Geometrical Methods in the Theory of Ordinary Differential Equations

    Vladimir Igorevich Arnold

  • Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals

    S.M. Gusein-Zade;A.N. Varchenko;Alexander N. Varchenko;V.I. Arnold

  • Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits

    Vladimir Arnold

  • Singularities of Differentiable Maps

    V. I. Arnold;S. M. Gusein-Zade;A. N. Varchenko

  • Topological methods in hydrodynamics

    Vladimir I. Arnold;Boris A. Khesin

  • SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

    Vladimir I Arnol'd

  • PROOF OF A THEOREM OF A.?N.?KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

    V I Arnol'd

  • Ordinary Differential Equations

    Fred Brauer;Vladimir I. Arnol'd;Roger Cook

  • Mathematical aspects of classical and celestial mechanics

    V. I. Arnold;V. V. Kozlov;A. I. Neishtadt

  • Dynamical Systems III

    Vladimir I. Arnold

  • ON MATRICES DEPENDING ON PARAMETERS

    Vladimir I. Arnold

  • Singularities of Caustics and Wave Fronts

    Vladimir Arnold

  • Wave front evolution and equivariant Morse lemma

    V. I. Arnol'D

  • CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS

    Vladimir I Arnol'd

  • Ordinary differential equations and smooth dynamical systems

    D. V. Anosov;S. Kh. Aranson;V. I. Arnold;I. U. Bronshtein

  • The cohomology ring of the colored braid group

    Vladimir I. Arnold

  • Arnold's Problems

    Vladimir I. Arnold

  • Dynamical Systems III: Mathematical Aspects of Classical and Celestial Mechanics

    V. I. Arnold;V. V. Kozlov;A. I. Neishtadt

  • Dynamical Systems V: Bifurcation Theory and Catastrophe Theory

    V. I. Arnol'd

  • Real Algebraic Geometry

    Vladimir I Arnold;Ilia Itenberg;Viatcheslav Kharlamov;Eugenii I Shustin

Frequent Co-Authors

Alexander Varchenko
Alexander Varchenko University of North Carolina at Chapel Hill
S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
Yakov G. Sinai
Yakov G. Sinai Princeton University
Michael Atiyah
Michael Atiyah University of Edinburgh
Gennady A. Leonov
Gennady A. Leonov Saint Petersburg State University
Yuri I. Manin
Yuri I. Manin Max Planck Institute for Mathematics
Barry Mazur
Barry Mazur Harvard University
Albert N. Shiryaev
Albert N. Shiryaev Steklov Mathematical Institute
Fred Brauer
Fred Brauer University of British Columbia

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