Antonina Fedorova and Michael Zeitlin

14th Granada Seminar, "Quantum Systems In and Out of Equilibrium: Fundamentals, dynamics and applications",

Universidad de Granada, Spain, June 20-23, 2017

From points to patterns in Wigner frameworks, 1: Quantum states as sheaves

From points to patterns in Wigner frameworks, 2: Dynamics and control of ensembles in multiscales

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 dynamicsMultiscale 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

RUPAC2016

Particle dynamics, new methods of acceleration and cooling

WEPSB019, Orbital Motion in Multipole Fields via Multiscale Decomposition

Modern trends in accelerators

WEPSB026, Dynamical Aperture Beyond Perturbations: From Qualitative Analysis to Maps

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)

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

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

SPIE, Conference 8832, "The Nature of Light: What are Photons? V"

25 - 29 August 2013, San Diego Convention Center, San Diego, California, United States

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

XXV IUPAP Conference on Computational Physics

August 20-24, 2013, Moscow, Russia

Program AbstractsBook

Talk 1 (p. 53, AbstractsBook), Modeling in Ensembles: Between Order and Disorder, en Route to Confinement,

B.1 Differential Equations and Chaos

Talk 2 (p. 84, AbstractsBook) The Topological Qubit: Quantum Evolution via Sheaves,

Quantum Physics and Low Temperature Physics

Talk 3 (p. 87, AbstractsBook) Quantum Modeling: from Coarse Graining to a Tower of Scales,

Quantum Physics and Low Temperature Physics

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

**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