Papers

Recent Papers by Local Participants that are Related to the Project

      [32] Kaifeng Bu, Arthur Jaffe, Zhengwei Liu and Jinsong Wu, De Finetti Theorems for Braided Parafermions, arXiv:1805.05990

      [31] Zhengwei Liu and Jinsong Wu, Antisymmetric Characters and Fourier Duality, arXiv:1805.04783

      [30] Arthur Jaffe, Reflection Positivity Then and Now, arXiv:1802.07880

[29] William Norledge, Singer cyclic lattices of type M, arXiv:1711.09332.

[28] William Norledge, Quotients of buildings by groups acting freely on chambers, arXiv: 1711.09330.

[27] William Norledge, Quotients of buildings as W-groupoids, arXiv:1710.06968.

[26] Keshab Chandra Bakshi, Sayan Das, Zhengwei Liu, and Yunxiang Ren, An angle between intermediate subfactors and its rigidity, arXiv:1710.00285.

[25] Zhengwei Liu, Scott Morrison, and David Penneys, Lifting shadings on symmetrically self-dual subfactor planar algebras, arXiv:1709.05023, to appear in  Contemporary Mathematics.

[24] Arthur Jaffe and Zhengwei Liu, A Mathematical Picture Language Program, Proceedings of the National Academy of Sciences 115(1) (2018), 81–86.

[23] Zhengwei Liu, Quon Language: Surface Algebras and Fourier Duality, arXiv:1707.03995.

[22] Changlan Jiang, Zhengwei Liu, and Jinsong Wu, Block maps and Fourier analysis, arXiv:1706.03551.

[21] Zhengwei Liu and Feng Xu, Jones-Wassermann subfactors for modular tensor categories, arXiv:1612:08573.

[20] Corey Jones, Zhengwei Liu, and Yunxiang Ren, Classification of Thurston-Relation Subfactor Planar Algebras, arXiv:1606.00779.

[19] Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Holographic Software for Quantum Networks, arXiv:1605.00127 to appear in Science China Mathematics

[18] Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Qudit Isotopy, arXiv:1602.02671

[17] Zhengwei Liu, Yang-Baxter Relation Planar Algebras, arXiv:1507.06030

[16] Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Uncertainty principles for locally compact quantum groups, Journal of Functional Analysis, 270(1) (2016), 264311.

[15] Zhengwei Liu and David Penneys, The generator conjecture for 3G subfactor planar algebras. arXiv:1507.04794 To appear in The Proceedings in honor of Vaughan F. R. Jones’ 60th birthday conferences.

[14] Zhengwei Liu, Simeng Wang, and Jinsong Wu, Young’s inequality for locally compact quantum groups. Journal of Operator Theory, 77(1) (2017), 109131.

[13] Zhengwei Liu and Jinsong Wu, Uncertainty principle for Kac algebras, Journal of Mathematical Physics 58(5) (2017), 052102.

[12] Dietmar Bisch, Vaughan F. R. Jones, and Zhengwei Liu, Singly generated planar algebras of small dimension, part III. arXiv:1410.2876, Transactions of the AMS, 369(4) (2017), 24612476.

[11] Zhengwei Liu and Jinsong Wu, The Noncommutative Fourier Transform: A survey, Acta Mathematica Sinica Chinese Series, (In honor of the 75th birthday of Bingren Li) 60(1) (2017), 69–80.

[10] Zhengwei Liu, and Alex Wozniakowski, and Arthur Jaffe, Quon 3D language for quantum information. Proceedings of the National Academy of Sciences, 114(10) (2017), 2947–2502.

[9] Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Constructive Simulation and Topological Design of Protocols, New Journal of Physics, 19 (2017), 063016.

[8] Arthur Jaffe and Bas Janssens, Reflection Positive Doubles, Jour. Funct. Anal., 272 (2017), 3506–3557.

[7] Arthur Jaffe and Zhengwei Liu, Planar Para Algebras, Reflection Positivity, Commun. Math. Phys. 352 (2017), 95–133.

[6] Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Noncommutative uncertainty principles, Journal of Functional Analysis, 270(1) (2016), 264-311.

[5] Arthur Jaffe and Bas Janssens, Characterization of Reflection Positivity: Majoranas and Spins, Commun. Math. Phys., 346(3) (2016), 1021–1050.

[4] Arthur Jaffe and Fabio L. Pedrocchi, Reflection Positivity for Parafermions, Comm. Math. Phys., 337 (2015), 455–472.

[3] Arthur Jaffe, Stochastic Quantization, Reflection Positivity, and Quantum Fields, J. Stat. Physics, 161, (2015) 1–15.

[2] Arthur Jaffe, Christian Jäkel, and Roberto Martinez, Complex Classical Fields: an Example, Journal of Functional Analysis 266 (2014), 1833–1881.

[1] Arthur Jaffe and Fabio L. Pedrocchi, Topological Order and Reflection Positivity, Euro Physics Letters 105 (2014), 40002.