Dynamical billiards (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dynamical billiards" in English language version.

refsWebsite

Global rank English rank

19doi.org

2^nd place

13harvard.edu

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10semanticscholar.org

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8worldcat.org

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7nih.gov

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5arxiv.org

69^th place

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1web.archive.org

1^st place

1mathunion.org

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1jstor.org

26^th place

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1researchgate.net

120^th place

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1sciencedirect.com

149^th place

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1princeton.edu

741^st place

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1caltech.edu

887^th place

714^th place

arxiv.org

Mátyás, László; Barna, Imre Ferenc (2011). "Geometrical origin of chaoticity in the bouncing ball billiard". Chaos, Solitons & Fractals. 44 (12): 1111–1116. arXiv:1003.2505. doi:10.1016/j.chaos.2011.10.002.
Gmachl, C. (1998-06-05). "High-Power Directional Emission from Microlasers with Chaotic Resonators". Science. 280 (5369): 1556–1564. arXiv:cond-mat/9806183. Bibcode:1998Sci...280.1556G. doi:10.1126/science.280.5369.1556. PMID 9616111. S2CID 502055.
Ponomarenko, L. A.; Schedin, F.; Katsnelson, M. I.; Yang, R.; Hill, E. W.; Novoselov, K. S.; Geim, A. K. (2008-04-18). "Chaotic Dirac Billiard in Graphene Quantum Dots". Science. 320 (5874): 356–358. arXiv:0801.0160. Bibcode:2008Sci...320..356P. doi:10.1126/science.1154663. ISSN 0036-8075. PMID 18420930. S2CID 206511356.
Chen, Shaowen; Han, Zheng; Elahi, Mirza M.; Habib, K. M. Masum; Wang, Lei; Wen, Bo; Gao, Yuanda; Taniguchi, Takashi; Watanabe, Kenji; Hone, James; Ghosh, Avik W. (2016-09-30). "Electron optics with p-n junctions in ballistic graphene". Science. 353 (6307): 1522–1525. arXiv:1602.08182. Bibcode:2016Sci...353.1522C. doi:10.1126/science.aaf5481. ISSN 0036-8075. PMID 27708099. S2CID 118443999.
Datseris, George; Geisel, Theo; Fleischmann, Ragnar (2019-04-30). "Robustness of ballistic transport in antidot superlattices". New Journal of Physics. 21 (4): 043051. arXiv:1711.05833. Bibcode:2019NJPh...21d3051D. doi:10.1088/1367-2630/ab19cc. ISSN 1367-2630.

caltech.edu

authors.library.caltech.edu

Weiss, D.; Roukes, M. L.; Menschig, A.; Grambow, P.; von Klitzing, K.; Weimann, G. (1991-05-27). "Electron pinball and commensurate orbits in a periodic array of scatterers" (PDF). Physical Review Letters. 66 (21): 2790–2793. Bibcode:1991PhRvL..66.2790W. doi:10.1103/PhysRevLett.66.2790. ISSN 0031-9007. PMID 10043617.

doi.org

Burago, D.; Ferleger, S.; Kononenko, A. (1 January 1998). "Uniform Estimates on the Number of Collisions in Semi-Dispersing Billiards". Annals of Mathematics. 147 (3): 695–708. doi:10.2307/120962. JSTOR 120962.
Burago, D.; Ferleger, S. (26 May 1997). "Topological Entropy Of Semi-Dispersing Billiards". Ergodic Theory and Dynamical Systems. 18 (4): 791. doi:10.1017/S0143385798108246. S2CID 122549772.
Burago, D. (1 February 2006). "Semi-dispersing billiards of infinite topological entropy". Ergodic Theory and Dynamical Systems. 26 (1): 45–52. doi:10.1017/S0143385704001002. S2CID 121644309.
Mátyás, László; Barna, Imre Ferenc (2011). "Geometrical origin of chaoticity in the bouncing ball billiard". Chaos, Solitons & Fractals. 44 (12): 1111–1116. arXiv:1003.2505. doi:10.1016/j.chaos.2011.10.002.
Pustyl'nikov, L. D. (1999). "The law of entropy increase and generalized billiards". Russian Mathematical Surveys. 54 (3): 650–651. Bibcode:1999RuMaS..54..650P. doi:10.1070/rm1999v054n03abeh000168. S2CID 250902640.
Pustyl'nikov, L. D. (1995). "Poincaré models, rigorous justification of the second law of thermodynamics from mechanics, and the Fermi acceleration mechanism". Russian Mathematical Surveys. 50 (1): 145–189. Bibcode:1995RuMaS..50..145P. doi:10.1070/rm1995v050n01abeh001663. S2CID 250875392.
Pustyl'nikov, L. D. (2005). "Generalized Newtonian periodic billiards in a ball". Russian Mathematical Surveys. 60 (2): 365–366. Bibcode:2005RuMaS..60..365P. doi:10.1070/RM2005v060n02ABEH000839. S2CID 250856558.
Deryabin, Mikhail V.; Pustyl'nikov, Lev D. (2007). "Nonequilibrium Gas and Generalized Billiards". Journal of Statistical Physics. 126 (1): 117–132. Bibcode:2007JSP...126..117D. doi:10.1007/s10955-006-9250-4. S2CID 55957240.
Kouznetsov, Dmitrii; Moloney, Jerome V. (September 2004). "Boundary behaviour of modes of a Dirichlet Laplacian". Journal of Modern Optics. 51 (13): 1955–1962. Bibcode:2004JMOp...51.1955K. doi:10.1080/09500340408232504. ISSN 0950-0340. S2CID 30880255.
Stone, A. Douglas (June 2010). "Chaotic billiard lasers". Nature. 465 (7299): 696–697. doi:10.1038/465696a. ISSN 1476-4687. PMID 20535191.
Gmachl, C. (1998-06-05). "High-Power Directional Emission from Microlasers with Chaotic Resonators". Science. 280 (5369): 1556–1564. arXiv:cond-mat/9806183. Bibcode:1998Sci...280.1556G. doi:10.1126/science.280.5369.1556. PMID 9616111. S2CID 502055.
Koyanagi, Sin’ichiro; Nakano, Takeru; Kawabe, Tetsuji (2008-08-01). "Application of Hamiltonian of ray motion to room acoustics". The Journal of the Acoustical Society of America. 124 (2): 719–722. Bibcode:2008ASAJ..124..719K. doi:10.1121/1.2946714. ISSN 0001-4966. PMID 18681564.
Leproux, P.; S. Fevrier; V. Doya; P. Roy; D. Pagnoux (2003). "Modeling and optimization of double-clad fiber amplifiers using chaotic propagation of pump". Optical Fiber Technology. 7 (4): 324–339. Bibcode:2001OptFT...7..324L. doi:10.1006/ofte.2001.0361.
Stöckmann, H.-J.; Stein, J. (1990-05-07). "Quantum chaos in billiards studied by microwave absorption". Physical Review Letters. 64 (19): 2215–2218. Bibcode:1990PhRvL..64.2215S. doi:10.1103/PhysRevLett.64.2215. ISSN 0031-9007. PMID 10041617.
Ponomarenko, L. A.; Schedin, F.; Katsnelson, M. I.; Yang, R.; Hill, E. W.; Novoselov, K. S.; Geim, A. K. (2008-04-18). "Chaotic Dirac Billiard in Graphene Quantum Dots". Science. 320 (5874): 356–358. arXiv:0801.0160. Bibcode:2008Sci...320..356P. doi:10.1126/science.1154663. ISSN 0036-8075. PMID 18420930. S2CID 206511356.
Bird, Jonathan P., ed. (2003). Electron Transport in Quantum Dots. doi:10.1007/978-1-4615-0437-5. ISBN 978-1-4020-7459-2.
Chen, Shaowen; Han, Zheng; Elahi, Mirza M.; Habib, K. M. Masum; Wang, Lei; Wen, Bo; Gao, Yuanda; Taniguchi, Takashi; Watanabe, Kenji; Hone, James; Ghosh, Avik W. (2016-09-30). "Electron optics with p-n junctions in ballistic graphene". Science. 353 (6307): 1522–1525. arXiv:1602.08182. Bibcode:2016Sci...353.1522C. doi:10.1126/science.aaf5481. ISSN 0036-8075. PMID 27708099. S2CID 118443999.
Weiss, D.; Roukes, M. L.; Menschig, A.; Grambow, P.; von Klitzing, K.; Weimann, G. (1991-05-27). "Electron pinball and commensurate orbits in a periodic array of scatterers" (PDF). Physical Review Letters. 66 (21): 2790–2793. Bibcode:1991PhRvL..66.2790W. doi:10.1103/PhysRevLett.66.2790. ISSN 0031-9007. PMID 10043617.
Datseris, George; Geisel, Theo; Fleischmann, Ragnar (2019-04-30). "Robustness of ballistic transport in antidot superlattices". New Journal of Physics. 21 (4): 043051. arXiv:1711.05833. Bibcode:2019NJPh...21d3051D. doi:10.1088/1367-2630/ab19cc. ISSN 1367-2630.

harvard.edu

ui.adsabs.harvard.edu

Pustyl'nikov, L. D. (1999). "The law of entropy increase and generalized billiards". Russian Mathematical Surveys. 54 (3): 650–651. Bibcode:1999RuMaS..54..650P. doi:10.1070/rm1999v054n03abeh000168. S2CID 250902640.
Pustyl'nikov, L. D. (1995). "Poincaré models, rigorous justification of the second law of thermodynamics from mechanics, and the Fermi acceleration mechanism". Russian Mathematical Surveys. 50 (1): 145–189. Bibcode:1995RuMaS..50..145P. doi:10.1070/rm1995v050n01abeh001663. S2CID 250875392.
Pustyl'nikov, L. D. (2005). "Generalized Newtonian periodic billiards in a ball". Russian Mathematical Surveys. 60 (2): 365–366. Bibcode:2005RuMaS..60..365P. doi:10.1070/RM2005v060n02ABEH000839. S2CID 250856558.
Deryabin, Mikhail V.; Pustyl'nikov, Lev D. (2007). "Nonequilibrium Gas and Generalized Billiards". Journal of Statistical Physics. 126 (1): 117–132. Bibcode:2007JSP...126..117D. doi:10.1007/s10955-006-9250-4. S2CID 55957240.
Kouznetsov, Dmitrii; Moloney, Jerome V. (September 2004). "Boundary behaviour of modes of a Dirichlet Laplacian". Journal of Modern Optics. 51 (13): 1955–1962. Bibcode:2004JMOp...51.1955K. doi:10.1080/09500340408232504. ISSN 0950-0340. S2CID 30880255.
Gmachl, C. (1998-06-05). "High-Power Directional Emission from Microlasers with Chaotic Resonators". Science. 280 (5369): 1556–1564. arXiv:cond-mat/9806183. Bibcode:1998Sci...280.1556G. doi:10.1126/science.280.5369.1556. PMID 9616111. S2CID 502055.
Koyanagi, Sin’ichiro; Nakano, Takeru; Kawabe, Tetsuji (2008-08-01). "Application of Hamiltonian of ray motion to room acoustics". The Journal of the Acoustical Society of America. 124 (2): 719–722. Bibcode:2008ASAJ..124..719K. doi:10.1121/1.2946714. ISSN 0001-4966. PMID 18681564.
Leproux, P.; S. Fevrier; V. Doya; P. Roy; D. Pagnoux (2003). "Modeling and optimization of double-clad fiber amplifiers using chaotic propagation of pump". Optical Fiber Technology. 7 (4): 324–339. Bibcode:2001OptFT...7..324L. doi:10.1006/ofte.2001.0361.
Stöckmann, H.-J.; Stein, J. (1990-05-07). "Quantum chaos in billiards studied by microwave absorption". Physical Review Letters. 64 (19): 2215–2218. Bibcode:1990PhRvL..64.2215S. doi:10.1103/PhysRevLett.64.2215. ISSN 0031-9007. PMID 10041617.
Ponomarenko, L. A.; Schedin, F.; Katsnelson, M. I.; Yang, R.; Hill, E. W.; Novoselov, K. S.; Geim, A. K. (2008-04-18). "Chaotic Dirac Billiard in Graphene Quantum Dots". Science. 320 (5874): 356–358. arXiv:0801.0160. Bibcode:2008Sci...320..356P. doi:10.1126/science.1154663. ISSN 0036-8075. PMID 18420930. S2CID 206511356.
Chen, Shaowen; Han, Zheng; Elahi, Mirza M.; Habib, K. M. Masum; Wang, Lei; Wen, Bo; Gao, Yuanda; Taniguchi, Takashi; Watanabe, Kenji; Hone, James; Ghosh, Avik W. (2016-09-30). "Electron optics with p-n junctions in ballistic graphene". Science. 353 (6307): 1522–1525. arXiv:1602.08182. Bibcode:2016Sci...353.1522C. doi:10.1126/science.aaf5481. ISSN 0036-8075. PMID 27708099. S2CID 118443999.
Weiss, D.; Roukes, M. L.; Menschig, A.; Grambow, P.; von Klitzing, K.; Weimann, G. (1991-05-27). "Electron pinball and commensurate orbits in a periodic array of scatterers" (PDF). Physical Review Letters. 66 (21): 2790–2793. Bibcode:1991PhRvL..66.2790W. doi:10.1103/PhysRevLett.66.2790. ISSN 0031-9007. PMID 10043617.
Datseris, George; Geisel, Theo; Fleischmann, Ragnar (2019-04-30). "Robustness of ballistic transport in antidot superlattices". New Journal of Physics. 21 (4): 043051. arXiv:1711.05833. Bibcode:2019NJPh...21d3051D. doi:10.1088/1367-2630/ab19cc. ISSN 1367-2630.

jstor.org

Burago, D.; Ferleger, S.; Kononenko, A. (1 January 1998). "Uniform Estimates on the Number of Collisions in Semi-Dispersing Billiards". Annals of Mathematics. 147 (3): 695–708. doi:10.2307/120962. JSTOR 120962.

mathunion.org

"Archived copy" (PDF). Archived from the original (PDF) on 2013-12-31. Retrieved 2014-06-06.{{cite web}}: CS1 maint: archived copy as title (link)

nih.gov

pubmed.ncbi.nlm.nih.gov

Stone, A. Douglas (June 2010). "Chaotic billiard lasers". Nature. 465 (7299): 696–697. doi:10.1038/465696a. ISSN 1476-4687. PMID 20535191.
Gmachl, C. (1998-06-05). "High-Power Directional Emission from Microlasers with Chaotic Resonators". Science. 280 (5369): 1556–1564. arXiv:cond-mat/9806183. Bibcode:1998Sci...280.1556G. doi:10.1126/science.280.5369.1556. PMID 9616111. S2CID 502055.
Koyanagi, Sin’ichiro; Nakano, Takeru; Kawabe, Tetsuji (2008-08-01). "Application of Hamiltonian of ray motion to room acoustics". The Journal of the Acoustical Society of America. 124 (2): 719–722. Bibcode:2008ASAJ..124..719K. doi:10.1121/1.2946714. ISSN 0001-4966. PMID 18681564.
Stöckmann, H.-J.; Stein, J. (1990-05-07). "Quantum chaos in billiards studied by microwave absorption". Physical Review Letters. 64 (19): 2215–2218. Bibcode:1990PhRvL..64.2215S. doi:10.1103/PhysRevLett.64.2215. ISSN 0031-9007. PMID 10041617.
Ponomarenko, L. A.; Schedin, F.; Katsnelson, M. I.; Yang, R.; Hill, E. W.; Novoselov, K. S.; Geim, A. K. (2008-04-18). "Chaotic Dirac Billiard in Graphene Quantum Dots". Science. 320 (5874): 356–358. arXiv:0801.0160. Bibcode:2008Sci...320..356P. doi:10.1126/science.1154663. ISSN 0036-8075. PMID 18420930. S2CID 206511356.
Chen, Shaowen; Han, Zheng; Elahi, Mirza M.; Habib, K. M. Masum; Wang, Lei; Wen, Bo; Gao, Yuanda; Taniguchi, Takashi; Watanabe, Kenji; Hone, James; Ghosh, Avik W. (2016-09-30). "Electron optics with p-n junctions in ballistic graphene". Science. 353 (6307): 1522–1525. arXiv:1602.08182. Bibcode:2016Sci...353.1522C. doi:10.1126/science.aaf5481. ISSN 0036-8075. PMID 27708099. S2CID 118443999.
Weiss, D.; Roukes, M. L.; Menschig, A.; Grambow, P.; von Klitzing, K.; Weimann, G. (1991-05-27). "Electron pinball and commensurate orbits in a periodic array of scatterers" (PDF). Physical Review Letters. 66 (21): 2790–2793. Bibcode:1991PhRvL..66.2790W. doi:10.1103/PhysRevLett.66.2790. ISSN 0031-9007. PMID 10043617.

princeton.edu

B. D. Lubachevsky and F. H. Stillinger, Geometric properties of random disk packings, J. Statistical Physics 60 (1990), 561-583 http://www.princeton.edu/~fhs/geodisk/geodisk.pdf

researchgate.net

Burago, D.; Ferleger, S. (26 May 1997). "Topological Entropy Of Semi-Dispersing Billiards". Ergodic Theory and Dynamical Systems. 18 (4): 791. doi:10.1017/S0143385798108246. S2CID 122549772.

sciencedirect.com

Mátyás, László; Barna, Imre Ferenc (2011). "Geometrical origin of chaoticity in the bouncing ball billiard". Chaos, Solitons & Fractals. 44 (12): 1111–1116. arXiv:1003.2505. doi:10.1016/j.chaos.2011.10.002.

semanticscholar.org

api.semanticscholar.org

Burago, D.; Ferleger, S. (26 May 1997). "Topological Entropy Of Semi-Dispersing Billiards". Ergodic Theory and Dynamical Systems. 18 (4): 791. doi:10.1017/S0143385798108246. S2CID 122549772.
Burago, D. (1 February 2006). "Semi-dispersing billiards of infinite topological entropy". Ergodic Theory and Dynamical Systems. 26 (1): 45–52. doi:10.1017/S0143385704001002. S2CID 121644309.
Pustyl'nikov, L. D. (1999). "The law of entropy increase and generalized billiards". Russian Mathematical Surveys. 54 (3): 650–651. Bibcode:1999RuMaS..54..650P. doi:10.1070/rm1999v054n03abeh000168. S2CID 250902640.
Pustyl'nikov, L. D. (1995). "Poincaré models, rigorous justification of the second law of thermodynamics from mechanics, and the Fermi acceleration mechanism". Russian Mathematical Surveys. 50 (1): 145–189. Bibcode:1995RuMaS..50..145P. doi:10.1070/rm1995v050n01abeh001663. S2CID 250875392.
Pustyl'nikov, L. D. (2005). "Generalized Newtonian periodic billiards in a ball". Russian Mathematical Surveys. 60 (2): 365–366. Bibcode:2005RuMaS..60..365P. doi:10.1070/RM2005v060n02ABEH000839. S2CID 250856558.
Deryabin, Mikhail V.; Pustyl'nikov, Lev D. (2007). "Nonequilibrium Gas and Generalized Billiards". Journal of Statistical Physics. 126 (1): 117–132. Bibcode:2007JSP...126..117D. doi:10.1007/s10955-006-9250-4. S2CID 55957240.
Kouznetsov, Dmitrii; Moloney, Jerome V. (September 2004). "Boundary behaviour of modes of a Dirichlet Laplacian". Journal of Modern Optics. 51 (13): 1955–1962. Bibcode:2004JMOp...51.1955K. doi:10.1080/09500340408232504. ISSN 0950-0340. S2CID 30880255.
Gmachl, C. (1998-06-05). "High-Power Directional Emission from Microlasers with Chaotic Resonators". Science. 280 (5369): 1556–1564. arXiv:cond-mat/9806183. Bibcode:1998Sci...280.1556G. doi:10.1126/science.280.5369.1556. PMID 9616111. S2CID 502055.
Ponomarenko, L. A.; Schedin, F.; Katsnelson, M. I.; Yang, R.; Hill, E. W.; Novoselov, K. S.; Geim, A. K. (2008-04-18). "Chaotic Dirac Billiard in Graphene Quantum Dots". Science. 320 (5874): 356–358. arXiv:0801.0160. Bibcode:2008Sci...320..356P. doi:10.1126/science.1154663. ISSN 0036-8075. PMID 18420930. S2CID 206511356.
Chen, Shaowen; Han, Zheng; Elahi, Mirza M.; Habib, K. M. Masum; Wang, Lei; Wen, Bo; Gao, Yuanda; Taniguchi, Takashi; Watanabe, Kenji; Hone, James; Ghosh, Avik W. (2016-09-30). "Electron optics with p-n junctions in ballistic graphene". Science. 353 (6307): 1522–1525. arXiv:1602.08182. Bibcode:2016Sci...353.1522C. doi:10.1126/science.aaf5481. ISSN 0036-8075. PMID 27708099. S2CID 118443999.

web.archive.org

"Archived copy" (PDF). Archived from the original (PDF) on 2013-12-31. Retrieved 2014-06-06.{{cite web}}: CS1 maint: archived copy as title (link)

worldcat.org

search.worldcat.org

Kouznetsov, Dmitrii; Moloney, Jerome V. (September 2004). "Boundary behaviour of modes of a Dirichlet Laplacian". Journal of Modern Optics. 51 (13): 1955–1962. Bibcode:2004JMOp...51.1955K. doi:10.1080/09500340408232504. ISSN 0950-0340. S2CID 30880255.
Stone, A. Douglas (June 2010). "Chaotic billiard lasers". Nature. 465 (7299): 696–697. doi:10.1038/465696a. ISSN 1476-4687. PMID 20535191.
Koyanagi, Sin’ichiro; Nakano, Takeru; Kawabe, Tetsuji (2008-08-01). "Application of Hamiltonian of ray motion to room acoustics". The Journal of the Acoustical Society of America. 124 (2): 719–722. Bibcode:2008ASAJ..124..719K. doi:10.1121/1.2946714. ISSN 0001-4966. PMID 18681564.
Stöckmann, H.-J.; Stein, J. (1990-05-07). "Quantum chaos in billiards studied by microwave absorption". Physical Review Letters. 64 (19): 2215–2218. Bibcode:1990PhRvL..64.2215S. doi:10.1103/PhysRevLett.64.2215. ISSN 0031-9007. PMID 10041617.
Ponomarenko, L. A.; Schedin, F.; Katsnelson, M. I.; Yang, R.; Hill, E. W.; Novoselov, K. S.; Geim, A. K. (2008-04-18). "Chaotic Dirac Billiard in Graphene Quantum Dots". Science. 320 (5874): 356–358. arXiv:0801.0160. Bibcode:2008Sci...320..356P. doi:10.1126/science.1154663. ISSN 0036-8075. PMID 18420930. S2CID 206511356.
Chen, Shaowen; Han, Zheng; Elahi, Mirza M.; Habib, K. M. Masum; Wang, Lei; Wen, Bo; Gao, Yuanda; Taniguchi, Takashi; Watanabe, Kenji; Hone, James; Ghosh, Avik W. (2016-09-30). "Electron optics with p-n junctions in ballistic graphene". Science. 353 (6307): 1522–1525. arXiv:1602.08182. Bibcode:2016Sci...353.1522C. doi:10.1126/science.aaf5481. ISSN 0036-8075. PMID 27708099. S2CID 118443999.
Weiss, D.; Roukes, M. L.; Menschig, A.; Grambow, P.; von Klitzing, K.; Weimann, G. (1991-05-27). "Electron pinball and commensurate orbits in a periodic array of scatterers" (PDF). Physical Review Letters. 66 (21): 2790–2793. Bibcode:1991PhRvL..66.2790W. doi:10.1103/PhysRevLett.66.2790. ISSN 0031-9007. PMID 10043617.
Datseris, George; Geisel, Theo; Fleischmann, Ragnar (2019-04-30). "Robustness of ballistic transport in antidot superlattices". New Journal of Physics. 21 (4): 043051. arXiv:1711.05833. Bibcode:2019NJPh...21d3051D. doi:10.1088/1367-2630/ab19cc. ISSN 1367-2630.