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Papers and Preprints
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F. Fathizadeh, E. Mitricheva, R. Kimura, N. K. Logothetis, H. R. Noori,
Signal detection in extracellular neural ensemble recordings using higher criticism,
Extended Abstract: IEEE-EMBS Conference on Biomedical and Health Informatics, Chicago (2019),
arXiv:1905.06225.
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F. Fathizadeh, F. Luef, J. Tao,
A twisted local index formula for curved noncommutative two tori,
arXiv:1904.03810.
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F. Fathizadeh, M. Khalkhali,
Curvature in noncommutative geometry,
Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th Birthday, Springer (2019), 321--420,
arXiv:1901.07438.
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F. Fathizadeh, Y. Kafkoulis, M. Marcolli,
Bell polynomials and Brownian bridge in Spectral Gravity models on multifractal Robertson-Walker cosmologies,
Annales Henri Poincare volume 21, pages 1329--1382 (2020),
arXiv:1811.02972.
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A. Connes, F. Fathizadeh,
The term a_4 in the heat kernel expansion of noncommutative tori,
Munster Journal of Mathematics 12 (2019), 239--410,
arXiv:1611.09815.
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W. Fan, F. Fathizadeh, M. Marcolli,
Modular forms in the spectral action of Bianchi IX gravitational instantons,
Journal of High Energy Physics 01 (2019) 234,
arXiv:1511.05321.
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W. Fan, F. Fathizadeh, M. Marcolli,
Motives and periods in Bianchi IX gravity models,
Letters in Mathematical Physics 108 (2018), no. 12, 2729--2747,
arXiv:1709.08082.
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F. Fathizadeh, M. Marcolli,
Periods and motives in the spectral action of Robertson-Walker spacetimes,
Communications in Mathematical Physics 356 (2017), no. 2, 641--671. 58 (14),
arXiv:1611.01815.
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F. Fathizadeh,
A noncommutative residue on tori and a semiclassical limit,
Proceedings of the 5th Frontiers in Mathematical Sciences Conference (2017) at
the Institute for Research in Fundamental Sciences in Tehran,
arXiv:1112.6156.
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F. Fathizadeh, O. Gabriel,
On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for C*-dynamical systems,
Symmetry, Integrability and Geometry: Methods and Applications, SIGMA 12 (2016), 016, 21 pages,
arXiv:1506.07913.
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W. Fan, F. Fathizadeh, M. Marcolli,
Spectral action for Bianchi type-IX cosmological models,
Journal of High Energy Physics, 10 (2015) 085,
arXiv:1506.06779.
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F. Fathizadeh,
On the scalar curvature for the noncommutative four torus,
Journal of Mathematical Physics, 56(6):062303, 2015,
arXiv:1410.8705.
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F. Fathizadeh, M. Khalkhali,
Scalar curvature for noncommutative four-tori,
Journal of Noncommutative Geometry 9 (2015), 473--503,
arXiv:1301.6135.
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F. Fathizadeh, A. Ghorbanpour, M. Khalkhali,
Rationality of spectral action for Robertson-Walker metrics,
Journal of High Energy Physics 12 (2014) 064,
arXiv:1407.5972.
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F. Fathizadeh, M. Khalkhali, F. Nicola, L. Rodino,
A two dimensional Adler-Manin trace and bisingular operators,
Communications in Mathematical Analysis, 15 (2013), no. 1, 61--78,
arXiv:1112.2122.
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F. Fathizadeh, M. Khalkhali,
Weyl's law and Connes' trace theorem for noncommutative two tori,
Letters in Mathematical Physics 103 (2013), no. 1, 1--18,
arXiv:1111.1358.
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F. Fathizadeh, M. Khalkhali, Scalar curvature for the noncommutative two torus,
Journal of Noncommutative Geometry 7 (2013), no. 4, 1145--1183,
arXiv:1110.3511.
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F. Fathizadeh, M. Khalkhali, The Gauss-Bonnet theorem for
noncommutative two tori with a general conformal structure,
Journal of Noncommutative Geometry 6 (2012), no. 3, 457--480,
arXiv:1005.4947.
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F. Fathizadeh, M. Khalkhali, Twisted spectral triples and Connes' character formula,
Perspectives on Noncommutative Geometry, Fileds Institute Communications (2011), Volume 61,
arXiv:1106.6127.
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F. Fathizadeh, M. W. Wong, Noncommutative residues for pseudo-differential
operators on the noncommutative two-torus,
Journal of Pseudo-Differential Operators and Applications, Volume 2, No. 3 (2011), 289--302.
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F. Fathizadeh, M. Khalkhali, The algebra of formal twisted
pseudodifferential symbols and a noncommutative residue,
Letters in Mathematical Physics (2010), 94:41--61,
arXiv:0810.0484.
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