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Vladimir Salnikov



   


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Curriculum vitae
Publications
Research
Conferences
Teaching

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Seminar
Algebraic Topology,
Geometry and Physics
RMATH Luxembourg

HGFT 2015
Higher Geometry
and Field Theory
December 2015,
Luxembourg

DISCO 2012
Integrability in
Dynamical Systems
and Control
November 2012, Rouen

"Pourquoi les mathématiques?"
Moscow, Russia, 2012
http://www.mathexpo.ru
GTSMP 2010
Gauge Theories, Supersymmetry, and
Mathematical Physics.
April 2010, Lyon

Published or accepted articles

    In international journals

  1. V.L.Golo, Vl.N.Salnikov, and K.V.Shaitan, Harmonic Oscillators in the Nosé-Hoover
    Environment, Physical Review, E70, 046130, 2004.
  2. V.Salnikov, T.Strobl, Dirac Sigma Models from Gauging,
    Journal of High Energy Physics, 11/2013 ; 2013(11). DOI :10.1007/JHEP11(2013)110
  3. V.Salnikov, On numerical approaches to the analysis of topology of the phase space
    for dynamical integrability, Chaos, Solitons & Fractals, Vol. 57, Dec. 2013.
    Preprint: arXiv:1206.3801 [math.DS].
  4. V.Salnikov, Effective algorithm of analysis of integrability via the Ziglin's method,
    Journal of Dynamical and Control Systems, March 2014,
    Preprint: arXiv:1208.6252 [math.DS].
  5. A.Kotov, V.Salnikov, T.Strobl, 2d Gauge Theories and Generalized Geometry,
    Journal of High Energy Physics, 2014:21, 2014
    Preprint: arXiv:1407.5439 [hep-th].
  6. V.Salnikov, D.Choi, P.Karamian-Surville, On efficient and reliable stochastic
    generation of RVEs for analysis of composites within the framework of homogenization
    Computational Mechanics, Volume 55, Issue 1, 2015. Preprint: arXiv:1408.6074.
  7. V.Salnikov, Graded geometry in gauge theories and beyond,
    Journal of Geometry and Physics, Volume 87, 2015.
    Preprint: arXiv:1411.4486
  8. V.Salnikov, S.Lemaitre, D.Choi, P.Karamian-Surville, Measure of combined
    effects of morphological parameters of inclusions within composite materials
    via stochastic homogenization to determine effective mechanical properties,
    Composite Structures, Volume 129, 1 October 2015, Pages 122 - 131. Preprint: arXiv:1411.4037
  9. In other journals

  10. V.Salnikov, Intégrabilité dynamique: de l'approche algébrique au calcul parallèle,
    Matapli (SMAI), No 100, 2013 (en français). Matapli archive

    In refereed proceedings

  1. Vl.N.Salnikov, Nonlinear Dynamics and Resonance Effects of Systems in the Nosé-Hoover
    Thermostat, Proceedings of the Contest-Conference for Young Scientists, Institute of Mechanics
    of MSU, 2004 (in Russian).
  2. V.N.Salnikov, Nonlinear Dynamics in the Nosé-Hoover Environment, Proceedings of the Fifth
    EUROMECH Nonlinear Dynamics Conference, 12 pages, 2005, published on the CD.
  3. Vl.N.Salnikov On the dynamics of the triple pendulum: non-integrability, topological properties
    of the phase space, Lecture notes of The Conference "Dynamical Integrability" (CIRM), 11 pages,
    2006, published on the CD.
  4. Vl.N.Salnikov, On the dynamics of a triple pendulum: Various approaches to non-integrability,
    Proceedings of the Contest-Conference for Young Scientists, Institute of Mechanics of MSU,
    2007, (in Russian).
  5. Vl.N.Salnikov, The possibilities of using the school informatics laboratory in realization of the
    "interaction" between the various profiles of education, Special volume of the digest "Realization
    of the lyceum education" for the proceedings of the "Round table" on the Realization of the lyceum
    education, 6 pages, 2008, (in Russian).
  6. V.Salnikov, D.Choi, P.Karamian, S.Lemaitre, Génération de VER 3D par
    la dynamique moléculaire et variations autour de la pixellisation. Calcul des
    propriétés effectives des composites, to appear in the proceedings of CSMA 2015.
  7. V. Hounkpati, V. Salnikov, A. Vivet, P. Karamian-Surville, On the influence of the inclusions'
    morphology on the accuracy of the prediction of reinforced composite materials' behavior,
    ECCOMAS Congress, 2016.

Submitted articles

  1. V.Salnikov, Integrability of the double pendulum - the Ramis' question,
    Preprint: arXiv:1303.4904 [math.DS].
  2. S. Lemaitre, V. Salnikov, D. Choi, P. Karamian, Computation of thermal properties via 3D
    homogenization of multiphase materials using FFT-based accelerated scheme.
    Preprint: arXiv:1504.07499
  3. S. Lemaitre, V. Salnikov, D. Choi, P. Karamian, Influence of morphological parameters in 3D
    composite materials on their effective thermal properties and comparison with effective
    mechanical properties, Preprint: arXiv:1602.07851
  4. V.Hounkpati, V.Salnikov, A.Vivet, P.Karamian, On the effective mechanical properties of
    composites reinforced by ellipsoidal and spherical particles: Fast Fourier Transform and
    mean-field homogenization.
  5. V.Salnikov, Supersymmetrization: AKSZ and beyond?, Preprint: arXiv:1608.07457

Articles in preparation

  1. Computation of effective electric conductivity of composite materials: a novel approach based
    on analysis of graphs (with D.Choi, P.Karamian).
  2. Book chapter: Advanced methods for numerical estimation of effective properties of
    composite materials (with P.Karamian).
  3. From modelling of dissipative systems to graded geometry and back to numerics
    (with A.Hamdouni).
  4. Differential graded Lie groups and their differential graded Lie algebras
    (with B.Jubin, A.Kotov, N.Poncin)


Partially updated 31.10.16.