Home Page of
Antonina Fedorova and Michael Zeitlin

1. "Complex Quantum World on the Tower of Scales", P18
2. "From Order to Disorder in Ensembles: Back and Forth. Localization and Pattern Formation in Hierarchies", P19

1. DY 50: Quantum Dynamics, Decoherence and Quantum Information (joint session DY/TT)
   "Quantum Dynamics beyond Gaussians: from Coarse Graining to a Tower of Scales via Multiresolution"
2. DY 62: Coherent Quantum Dynamics (joint session DY/TT),
   " Topological Qubit: Quantum States in the Sheaf/Scheme Framework"
3. DY 83: Pattern Formation II
   "A Tower of Scales in Ensemble Modeling: Order, Disorder, Fusion"

2016 Conference on Complex Systems,
Amsterdam, The Netherlands 19-22 September 2016
Session Foundations, 414: Complexity: From Local Hidden Symmetries to Zoo of Patterns,
421: Quantum Complexity: Categorification

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

XXXVI Dynamics Days Europe, Corfu, Greece, June 6-10, 2016
OC.055 Orbital motion in multipole fields via multiscales,
OC.056 Dynamical aperture and complex patterns in a strong localization approach

SPIE, Conference 9570, "The Nature of Light: What are Photons? VI"
10-13 August 2015, San Diego Convention Center, San Diego, California, United States,
Proceedings of SPIE Vol. 9570
Paper 9570-37, Quantum mechanics beyond Gaussians: from coarse graining to tower of scales
Paper 9570-52, Quantum mechanics via sheaves and schemes: on the route to categorification

XLIII International Summer School--Conference APM 2015, St. Petersburg

From localization to zoo of patterns in complex dynamics of ensembles,
Proceedings of XLIII International Summer School--Conference, Pages 494-501

Fast modeling for collective models of beam/plasma physics,
Proceedings of XLIII International Summer School--Conference, Pages 502-509

XXXIV Dynamics Days Europe, 8-12 September 2014, University of Bayreuth, Germany
From Internal Symmetries to Global Dynamics: (Meta)Stable Patterns in Ensembles, CT8.1-2
Quantum modeling: beyond coarse graining and gaussians, CT8.1-4

XXVI IUPAP Conference on Computational Physics, CCP2014
August 11-14, 2014, Boston, Massachusetts, USA
Statistical Physics
Pattern Formation: From Local Hidden Symmetries to Global Dynamics
Quantum Many-Body Physics
Quantum Mechanics: Beyond Gaussians

XLII International Summer School--Conference APM 2014, St. Petersburg

Beam-beam interaction: from localization to non-gaussian spectrum,
Proceedings of XLII International Summer School--Conference, Pages 531-538, (slide1)

RMS envelope moment beam dynamics beyond gaussians,
Proceedings of XLII International Summer School--Conference, Pages 539-546, (slide2)

International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE
September 1-5, 2013, Prague, Czech Republic
Quantum objects in a sheaf framework
Quantum multiresolution: tower of scales
En route to fusion: confinement state as a waveleton
in press, J. of Physics, CS

Dark side of quantum mechanics: categorification, reinterpretation, and all that in the sheaf framework,
Paper 8832-36, Abstract

A tower of hidden scales: non-Gaussian patterns in quantum mechanics,
Paper 8832-42, Abstract

XLI International Summer School--Conference APM 2013, St. Petersburg

Spin-Orbital Motion: Symmetry, Dynamics, Multiresolution
Proceedings of XLI International Summer School--Conference APM 2013, p. 198-207 (pdf), talk_1

Multiscale representation for space-charge dominated beam transport,
Proceedings of XLI International Summer School--Conference APM 2013, p. 208-214 (pdf), talk_2

XXXIII Dynamics Days Europe
3 - 7 June 2013, Madrid

Talk 1 (p. 239, AbstractsBook): A Tower of Scales in Plasma Modeling: Order, Disorder, Fusion, CT 19, Statistical Physics
Talk 2 (p. 76, AbstractsBook): Quantum Dynamics: from Coarse Graining to a Tower of Scales via Multiresolution, CT 10, Quantum and Hamiltonian Systems
Talk 3 (p. 163, AbstractsBook): The Topological Model for a Qubit: Quantum States in the Sheaf Framework

KITP Conference: New Directions in the Quantum Control Landscape
February 25 - March 1, 2013

From Quantum Points to Pattern Formation in Wigner Framework, 1: Quantum States as Sheaves

From Quantum Points to Pattern Formation in Wigner Framework, 2: Dynamics and Control via Multiresolution

Advanced Problems in Mechanics,
APM 2012, International Summer School, July 2 - 8, 2012, St. Petersburg, Russia

Thorny Path to Fusion in Plasma: Confinement State as a Waveleton,
Proceedings Advanced Problems in Mechanics, APM 2012, pp. 86-99

Multiscale Representation for Vlasov Equations,
Proceedings Advanced Problems in Mechanics, APM 2012, pp. 100-107

IPAM, PL2012:

      Computational Methods in High Energy Density Plasmas,
      IPAM Plasma Seminars, Multifluid Working Group (Organizer: Tim Barth)

At IPAM Wiki

• Fusion/Confinement: between order and disorder. Waveleton Framework. Classical and Quantum Aspects
• Only Invariant Things Have A Sense: Poissonology for Vlasovia
• Invariant Representations in Plasma Physics

At IPME

• Lectures
• Tutorial: Only Invariant Things Have a Sense: Lie-Poisson Structures in Vlasovia or Poissonology of Vlasovia

Papers prepared at IPAM for APM2012:

• Thorny Path to Fusion in Plasma: Confinement State as a Waveleton
• Multiscale Representation for Vlasov Equations

• Lake Arrowhead Photos
• Spring/Summer Photos: California (UCLA/Westwood, LA and around), Yale, NYC, London

Prepreprints :

• Quantum points/patterns, Part 1. From geometrical points to quantum points in a sheaf framework (pdf),
  SPIE, vol. 8121, 81210J (2011) ( doi:10.1117/12.893502); arXiv:1109.5035

• Quantum points/patterns, Part 2. From quantum points to quantum patterns via multiresolution (pdf),
  SPIE, vol. 8121, 81210K (2011) ( doi:10.1117/12.893537); arXiv:1109.5042

• Quantum mechanics at different scales. Part 1: Resolution of a (quantum) point (ps, pdf),
  Advanced Problems in Mechanics, APM 2010, pp. 202-210

• Quantum mechanics at different scales. Part 2: Localization, multiscales and complex quantum patterns (ps, pdf),
  Advanced Problems in Mechanics, APM 2010, pp. 211-219

• 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

• Thorny Path to Fusion in Plasma: Confinement State as a Waveleton ( pdf)

• Multiscale Representation for Vlasov Equations ( pdf)

Talks :

• Part1: Quantum States/Patterns as Sheaves (pdf);
  

• Part2: Localization, Multiscales and Complex Quantum Patterns
  (a short version; an extended version)
  

  Presented by Michael Ambroselli, University of Connecticut, Storrs

• Multiscale representations for orbital beam motion in multipole fields (pdf)

• Dynamical aperture beyond perturbations: strong localization approach (pdf)