Home Page of
Antonina Fedorova and Michael Zeitlin

Papers :

• Wigglers: nonlinearities in multiscales. From smart storage rings to synchrotron radiation in pulsar wind nebulae (doi)
  Proceedings of the XLVI Summer School-Conference "Advanced Problems in Mechanics (APM 2018)
• Coherent structures and localized modes in collective models of accelerator physics (doi)
  Proceedings of the XLVI Summer School-Conference "Advanced Problems in Mechanics (APM 2018)
• Coherent structures and localized modes in collective models of accelerator physics,
  Proceedings of XLVI International Summer School--Conference (APM-2018), Pages 58-68
• Wigglers: nonlinearities in multiscales. From smart storage rings to synchrotron radiation in pulsar wind nebulae,
  Proceedings of XLVI International Summer School--Conference (APM-2018), Pages 69-78
• Quasiclassics in Wigner-Moyal-von Neumann framework via Multiresolution,
  Proceedings of XLV International Summer School--Conference (APM-2017), Pages 139-151
  
• Multiscale structure of polynomial dynamics,
  Proceedings of XLV International Summer School--Conference (APM-2017), Pages 152-160
• En route to fusion: confinement state as a waveleton, arXiv:1703.09562
• Quantum multiresolution: tower of scales, arXiv:1703.09556
• Quantum objects in a sheaf framework, arXiv:1703.09546
• Orbital Motion in Multipole Fields via Multiscale Decomposition, RuPAC2016, pp. 404-406, CERN, 2017
  ISBN 978-3-95450-181-6,
  http://dx.doi.org/10.18429/JACoW-RuPAC2016-WEPSB019
  
• Dynamical Aperture Beyond Perturbations: From Qualitative Analysis to Maps. RuPAC2016, pp. 419-421, CERN, 2017
  ISBN 978-3-95450-181-6,
  http://dx.doi.org/10.18429/JACoW-RuPAC2016-WEPSB026
• Invariant calculations in beam physics: dynamics on semi-direct products and CWT,
  Proceedings of XLIV International Summer School--Conference (APM-2016), Pages 76-87
• Symplectic framework, discrete variational approach and Harten's multiresolution scheme in beam dynamics ,
  Proceedings of XLIV International Summer School--Conference (APM-2016), Pages 88-102
• From localization to zoo of patterns in complex dynamics of ensembles,
  Proceedings of XLIII International Summer School--Conference (APM-2015), Pages 494-501
• Fast modeling for collective models of beam/plasma physics,
  Proceedings of XLIII International Summer School--Conference (APM-2015), Pages 502-509
• Quantum objects in a sheaf framework, Journal of Physics CS, vol. 490, 012224, 2014;
  doi:10.1088/1742-6596/490/1/012224
• Quantum multiresolution: tower of scales, Journal of Physics CS, vol. 490, 012216, 2014;
  doi:10.1088/1742-6596/490/1/012216
• En route to fusion: confinement state as a waveleton, Journal of Physics CS, vol. 490, 012202, 2014;
  doi:10.1088/1742-6596/490/1/012202
• Beam-beam interaction: from localization to non-gaussian spectrum,
  Proceedings of XLII International Summer School--Conference (APM-2014), Pages 531-538
• RMS envelope moment beam dynamics beyond gaussians,
  Proceedings of XLII International Summer School--Conference (APM-2014), Pages 539-546
• Spin-Orbital Motion: Symmetry, Dynamics, Multiresolution
  Advanced Problems in Mechanics, APM 2013, p. 198-207
• Multiscale representation for space-charge dominated beam transport,
  Advanced Problems in Mechanics, APM 2013, p. 208-214
• Thorny Path to Fusion in Plasma: Confinement State as a Waveleton,
  Advanced Problems in Mechanics, APM 2012, pp. 86-99
• Multiscale Representation for Vlasov Equations
  Advanced Problems in Mechanics, APM 2012, pp. 100-107
• Quantum points/patterns, Part 2: from quantum points to quantum patterns via multiresolution,
  SPIE, vol. 8121, 81210K (2011) ( doi:10.1117/12.893537)
• Quantum points/patterns, Part 1. From geometrical points to quantum points in sheaf framework ,
  SPIE, vol. 8121, 81210J (2011) ( doi:10.1117/12.893502)
• Multiscale representations for orbital beam motion in multipole fields,
  Advanced Problems in Mechanics, APM 2011, pp. 553-560
• Dynamical aperture beyond perturbations: strong localization approach,
  Advanced Problems in Mechanics, APM 2011, pp. 145-151
• Quantum mechanics at different scales. Part 1: Resolution of a (quantum) point,
  Advanced Problems in Mechanics, APM 2010, pp. 202-210
• Quantum mechanics at different scales. Part 2: Localization, multiscales and complex quantum patterns,
  Advanced Problems in Mechanics, APM 2010, pp. 211-219
• Fusion Modeling in Vlasov-Like Models,
  J.Plasma Fusion Res. Series, Vol. 8 , pp. 126-131, 2009
• Fusion State in Plasma as a Waveleton (Localized (Meta)-Stable Pattern),
  pp.272-273 (doi:10.1063/1.3204585)
  AIP Conference Proceedings, Volume 1154, Issue 1, Current Trends in International Fusion Research (ISBN: 978-0-7354-0691-9), Editors E. Panarella, R. Raman, AIP, 2009
• Exact Multiscale Representations for (Non)-Equilibrium Dynamics of Plasma
  pp.291-292 ( doi:10.1063/1.3204592)
  AIP Conference Proceedings, Volume 1154, Issue 1, Current Trends in International Fusion Research (ISBN: 978-0-7354-0691-9), Editors E. Panarella, R. Raman, AIP, 2009
• Localization and Fusion Modeling in Plasma Physics. Part I: Math Framework for Non-Equilibrium Hierarchies,
  pp.61-86, Current Trends in International Fusion Research (contents), (ISBN: 978-0-660-19890-3), Editors E. Panarella, R. Raman, National Research Council (NRC) Research Press, Ottawa, Ontario, Canada, 2009
• Localization and Fusion Modeling in Plasma Physics. Part II: Vlasov-like Systems. Important Reductions,
  pp.87-100, Current Trends in International Fusion Research (contents), (ISBN: 978-0-660-19890-3), Editors E. Panarella, R. Raman, National Research Council (NRC) Research Press, Ottawa, Ontario, Canada, 2009
• Fusion modeling in plasma physics: Vlasov-like systems,
  in "Problems of Mathematical Physics and Applied Mathematics", Ioffe Physico-Technical Institute (Сб. "Вопросы математической физики и прикладной математики", Физико-технический институт им. А.Ф. Иоффе, ISBN 978-5-93634-023-9), pp. 125-139, St. Petersburg, 2007
• Patterns in Wigner-Weyl approach
  Proceedings in Applied Mathematics and Mechanics (PAMM), Volume 6, Issue 1, pp. 627 - 628, Wiley InterScience, 2006
• Fusion modeling in plasma physics: Vlasov-like systems
  Proceedings in Applied Mathematics and Mechanics (PAMM), Volume 6, Issue 1, pp. 625 - 626, Wiley InterScience, 2006
• Pattern Formation in Quantum Ensembles,
  International Journal of Modern Physics B, Vol. 20, Nos. 11-13 (2006) 1570-1592
• Zoo of Quantum Patterns: General Introduction,
  in "Problems of Mathematical Physics and Applied Mathematics", Ioffe Physico-Technical Institute (Сб. "Вопросы математической физики и прикладной математики", Физико-технический институт им. А.Ф. Иоффе, ISBN 5-93634-018-X), pp. 231-250, St. Petersburg, 2005
• Localization and Pattern Formation in Quantum Physics. II. Waveletons in Quantum Ensembles,
  in The Nature of Light: What is a Photon? SPIE, vol. 5866, pp. 257-268, 2005;
  e-version in arXiv.
• Localization and Pattern Formation in Quantum Physics. I. Phenomena of Localization,
  in The Nature of Light: What is a Photon? SPIE, vol. 5866, pp. 245-256, 2005;
  e-version in arXiv
• Classical and quantum ensembles via multiresolution. II. Wigner ensembles,
  Nuclear Instruments and Methods in Physics Research Section A, Volume 534, Issues 1-2, 2004, Pages 314-318
  e-version in arXiv.
• Classical and quantum ensembles via multiresolution: I-BBGKY hierarchy,
  Nuclear Instruments and Methods in Physics Research Section A, Volume 534, Issues 1-2, 2004, Pages 309-313
  e-version in arXiv.
• Localization and Pattern Formation in BBGKY Hierarchy,
  Proceedings in Applied Mathematics and Mechanics (PAMM), Volume 4, Issue 1, pp. 564 - 565, Wiley InterScience, 2004;
  e-version in arXiv.
• Pattern Formation in Wigner-like Equations via Multiresolution,
  in "Quantum Aspects of Beam Physics", pp. 22-35, Eds. Pisin Chen, K. Reil, World Scientific, 2004, e-version in SLAC-R-630, Chapter3.pdf
  electronic version in arXiv.
• Localized states (qubits), entanglement and decoherence from Wigner zoo,
  Journal of Modern Optics, Volume 51, Numbers 6-7, pp. 1105 - 1106, 2004 (pdf)
• Pattern Formation, Localization and Coherent Structures in Nonlinear Wave Dynamics,
  Coherence and Quantum Optics VIII, Eds. N. P. Bigelow a.e., pp. 429-430, Springer/Kluwer, 2004.
• Quasiclassical Calculations of Wigner Functions in Nonlinear Dynamics via Wavelets,
  Coherence and Quantum Optics VIII, Eds. N. P. Bigelow a.e., pp. 445-446, Springer/Kluwer, 2004.
• BBGKY Dynamics: from Localization to Pattern Formation,
  in "Progress in Nonequilibrium Green's Functions II", 481-492, Ed. M. Bonitz and D. Semkat, World Scientific, 2003
  electronic version in arXiv.
• Localization and pattern formation in Wigner representation via multiresolution,
  Nuclear Inst. and Methods in Physics Research, A, vol 502/2-3 pp. 657 - 659, 2003,
  electronic version in arXiv.
• Fast Calculations in Nonlinear Collective Models of Beam/Plasma Physics,
  Nuclear Inst. and Methods in Physics Research, A, vol 502/2-3, pp 660 - 662, 2003,
  electronic version in arXiv.
• Quasiclassical Calculations for Wigner Functions via Multiresolution,
  Proc. 18th Advanced ICFA Beam Dynamics Workshop on "Quantum Aspects of Beam Physics", pp. 539-550, Ed. P. Chen, World Scientific, 2002,
  electronic version in arXiv.
• Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion,
  Proc. 18th Advanced ICFA Beam Dynamics Workshop on "Quantum Aspects of Beam Physics", pp. 527-538, Ed. P. Chen, World Scientific, 2002,
  electronic version in arXiv.
• RMS/Rate Dynamics via Localized Modes,
  Proceedings EPAC2002, pp. 1323-1325, EPS-IGA/CERN, 2002
  electronic versions: in CERN (pdf)
• Multiscale Decomposition for Vlasov-Poisson Equations,
  Proceedings EPAC2002, pp. 1344-1346, EPS-IGA/CERN, 2002
  electronic versions: in CERN (pdf)
• Fast Calculation Methods in Collective Dynamical Models of Beam/Plasma Physics ,
  Proceedings EPAC2002, pp. 1434-1436, EPS-IGA/CERN, 2002
  electronic versions: in CERN (pdf)
• From Localization to Stochastics in BBGKY Collective Dynamics,
  Proceedings EPAC2002, pp. 1482-1484, EPS-IGA/CERN, 2002
  electronic versions: in CERN (pdf)
• Nonlinear Localized Coherent Spectrum of Beam-Beam Interactions ,
  Proceedings EPAC2002, pp. 1595-1597, EPS-IGA/CERN, 2002
  electronic versions: in CERN (pdf)
• Localization and Coherent Structures in Wave Dynamics via Multiresolution,
  Proceedings in Applied Mathematics and Mechanics, Volume 1, Issue 1, pp. 399-400, Wiley-VCH, 2002
• Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions,
  Proceedings in Applied Mathematics and Mechanics, Volume 1, Issue 1, pp. 432-433, Wiley-VCH, 2002
• Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions,
  Proceedings PAC2001, pp. 1790-1792, IEEE, 2001
  electronic versions: in CERN (pdf)
• Modelling of Beam-Beam Effects in Multiscales,
  Proceedings PAC2001, pp. 1805-1807, IEEE, 2001
  electronic versions: in CERN (pdf)
• Coherent Structures and Pattern Formation in Vlasov-Maxwell-Poisson Systems,
  Proceedings PAC2001, pp. 1808-1810, IEEE, 2001
  electronic versions: in CERN (pdf)
• The Short-Term Dynamical Aperture via Variational-Wavelet Approach with Constraints,
  Proceedings PAC2001, pp. 1811-1813, IEEE, 2001
  electronic versions: in CERN (pdf)
• Quasiclassical Calculations of Wigner Functions in Nonlinear Beam Dynamics,
  Proceedings PAC2001, pp. 1814-1816, IEEE, 2001
  electronic versions: in CERN (pdf)
• Space-Charge Dominated Beam Transport via Multiresolution,
  Proceedings PAC2001, pp. 2982-2984, IEEE, 2001
  electronic versions: in CERN (pdf)
• Nonlinear Dynamics of High-Brightness Beams,
  Proceedings PAC2001, pp. 3006-3008, IEEE, 2001
  electronic versions: in CERN (pdf)
• Multiscale Analysis of RMS Envelope Dynamics ,
  Proc. 20 International Linac Conf., LINAC 2000, pp. 300-302 (pdf, ps), SLAC, Stanford, 2000
• Multiresolution Representations for Solutions of Vlasov - Maxwell - Poisson Equations,
  Proc. 20 International Linac Conf., LINAC 2000, pp. 303-305 (pdf, ps), SLAC, Stanford, 2000
• Variational-Wavelet Approach to RMS Envelope Equations, The Physics of High Brightness Beams,
  Proc. of the 2nd ICFA Advanced Accelerator Workshop, pp.235--254, World Scientific, 2000,
  an electronic version in UCLA (pdf)
• Spin-Orbital Motion: Symmetry and Dynamics,
  Proceedings EPAC2000, pp. 415-417, Austrian Academy of Sciences, Vienna, Austria, 2000
  electronic versions: in CERN (pdf), in ANL (pdf)
• Local Analysis of Nonlinear RMS Envelope Dynamics,
  Proceedings EPAC2000, pp. 872-874, Austrian Academy of Sciences, Vienna, Austria, 2000
  electronic versions: in CERN (pdf), in ANL (pdf)
• Multiresolution Representation for Orbital Dynamics in Multipolar Fields,
  Proceedings EPAC2000, pp. 1101-1103, Austrian Academy of Sciences, Vienna, Austria, 2000
  electronic versions: in CERN (pdf), in ANL (pdf)
• Quasiclassical Calculations in Beam Dynamics,
  Proceedings EPAC2000, pp. 1190-1192, Austrian Academy of Sciences, Vienna, Austria, 2000
  electronic versions: in CERN (pdf), in ANL (pdf)
• Multiscale Representations for Solutions of Vlasov-Maxwell Equations for Intense Beam Propagation,
  Proceedings EPAC2000, pp. 1339-1341, Austrian Academy of Sciences, Vienna, Austria, 2000
  electronic versions: in CERN (pdf), in ANL (pdf)
• Nonlinear Beam Dynamics and Effects of Wigglers,
  Proceedings EPAC2000, pp. 2325-2327, Austrian Academy of Sciences, Vienna, Austria, 2000
  electronic versions: in CERN (pdf), in ANL (pdf)
• Variational Approach in Wavelet Framework to Polynomial Approximations of Nonlinear Accelerator Problems,
  American Institute of Physics, Conf. Proc., vol. 468, Nonlinear and Collective Phenomena in Beam Physics, pp.48-68, 1999. (LaTex)(ps)
• Symmetry, Hamiltonian Problems and Wavelets in Accelerator Physics,
  American Institute of Physics , Conf. Proc., vol. 468, Nonlinear and Collective Phenomena in Beam Physics, pp.69-93, 1999. (LaTex)(ps)
• Nonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings,
  Proceedings PAC99,IEEE/APS, vol. 3, pp. 1614-1616, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL ( abstract+pdf)
• Nonlinear Accelerator Problems via Wavelets: 2. Orbital Dynamics in General Multipolar Field,
  Proceedings PAC99,IEEE/APS, vol. 4, pp. 2900-2902, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL (abstract+pdf)
• Nonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion Devices on Beam Dynamics,
  Proceedings PAC99,IEEE/APS, vol. 4, pp. 2903-2905, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL (abstract+pdf)
• Nonlinear Accelerator Problems via Wavelets: 4. Spin-Orbital Motion,
  Proceedings PAC99,IEEE/APS, vol. 4, pp. 2906-2908, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL (abstract+pdf)
• Nonlinear Accelerator Problems via Wavelets: 5. Maps and Discretization via Wavelets,
  Proceedings PAC99,IEEE/APS, vol. 4, pp. 2909-2911, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL (abstract+pdf),
• Nonlinear Accelerator Problems via Wavelets: 6. Representations and Quasiclassics via FWT,
  Proceedings PAC99,IEEE/APS, vol. 3, pp.1617-1619, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL (abstract+pdf)
• Nonlinear Accelerator Problems via Wavelets: 7. Invariant Calculations in Hamiltonian Problems,
  Proceedings PAC99,IEEE/APS, vol. 3, pp.1620-1622, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL (abstract+pdf)
• Nonlinear Accelerator Problems via Wavelets: 8. Invariant Bases, Loops and KAM,
  Proceedings PAC99,IEEE/APS, vol. 4, pp. 2912-2914, 1999 ;
  electronic versions: in CERN (pdf), in ANL (pdf), in BNL (abstract+pdf)
• Wawelet Approach to Mechanical Problems. Symplectic Group, Symplectic Topology and Symplectic Scales,
  Solid Mechanics and Applications, vol. 63, IUTAM
  Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics,
  Ed. F. Moon, Kluwer, 1999, pp. 31-40 [LaTex] [ps]
• Wavelet Approach to Polynomial Mechanical Problems,
  Solid Mechanics and Applications, vol. 63, IUTAM
  Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics,
  Ed. F. Moon, Kluwer, 1999, pp. 101-108 [LaTex] [ps]
• Nonlinear Effects in Accelerator Physics: from Scale to Scale via Wavelets
  Proc. EPAC'98, an electronic version in CERN and in Argonne,
  published version in Institute of Physics, pp. 930-932, 1998
  [LaTex], [ps], [ pdf]
• Wavelet Approach to Hamiltonian, Chaotic and Quantum Calculations in Accelerator Physics
  Proc. EPAC'98, an electronic version in CERN and in Argonne,
  published version inInstitute of Physics, pp. 933-935, 1998
  [LaTex], [ps], [pdf].
• Proc. PAC97, Wavelet Approach to Accelerator Problems, part I:
  Polynomial Dynamics (LaTex), (ps), an electronic version in TRIUMF (pdf), in Argonne (pdf) and published version in IEEE, vol. 2, pp. 1502-1504, 1998.
• Proc. PAC97, Wavelet Approach to Accelerator Problems, part II:
  Metaplectic Wavelets (LaTex), (ps), an electronic version in TRIUMF (pdf), in Argonne (pdf) and published version in IEEE, vol. 2, pp. 1505-1507, 1998.
• Proc. PAC97, Wavelet Approach to Accelerator Problems, part III:
  Melnikov Functions and Symplectic Topology (LaTex), (ps), an electronic version in TRIUMF (pdf) in Argonne (pdf) and published version in IEEE, vol. 2, pp. 1508-1510, 1998.
• Wavelet in Optimization and Approximations
  Mathematics and Computers in Simulation (Elsevier), vol. 46, numbers 5-6, pp. 527-534, 1998 (LaTeX, ps, pdf).
• Nonlinear Dynamics of Accelerator via Wavelet Approach
  American Institute of Physics, Conf. Proc., vol. 405, Beam Stability and Nonlinear Dynamics, pp.87-102, 1997. (LaTex)(ps)