Spectral estimators for finite non-commutative geometries

S. Minakshisundaram and Å. Pleijel, Canadian Journal of Mathematics 1

1949

Earlier work this paper cites.

P. Podleś, Letters in Mathematical Physics 14

1987

Earlier work this paper cites.

H. B. Lawson Jr and M.-L. Michelsohn, Spin geometry , vol. 38 of Princeton Mathematical Series (Princeton University Press, Princeton, NJ, 1989)

1989

Earlier work this paper cites.

J. Madore, Classical and Quantum Gravity 9

1992

Earlier work this paper cites.

A. Connes, Noncommutative Geometry , vol. 1831 (Academic Press, San Diego, CA, 1994), ISBN 0075-8434, URL http://cds.cern.ch/record/277647papers3://publication/doi/10.1007/b94118

1994

Earlier work this paper cites.

A. Connes, J. Math. Phys. 36

1995

Earlier work this paper cites.

H. Grosse and P. Prešnajder, Letters in Mathematical Physics 33

1995

Earlier work this paper cites.

P. B. Gilkey, Invariance theory, the heat equation, and the Atiyah-Singer index theorem , Studies in Advanced Mathematics (CRC Press, Boca Raton, FL, 1995), 2nd ed., ISBN 0-8493-7874-4

1995

Earlier work this paper cites.

T. Friedrich, Dirac operators in Riemannian geometry , vol. 25 of Graduate Studies in Mathematics (American Mathematical Society, Providence, RI, 2000), ISBN 0-8218-2055-9, translated from the 1997 German original by Andreas Nestke, URL http://dx.doi.org/10.1090/gsm/025

1997

Earlier work this paper cites.

J. Roe, Elliptic operators, topology and asymptotic methods , vol. 395 of Pitman Research Notes in Mathematics Series (Longman, Harlow, 1998), 2nd ed

1998

Earlier work this paper cites.

M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Clarendon Press, 1999), ISBN 978-0-19-851797-9

1999

Earlier work this paper cites.

J. M. Gracia-Bondia, J. C. Varilly, and H. Figueroa, Elements of Noncommutative Geometry (Springer Science & Business Media, Boston, MA, 2001)

2001

Cited alongside, same era.

D. V. Vassilevich, Physics Reports 388

2003

Cited alongside, same era.

M. A. Rieffel, Gromov-Hausdorff distance for quantum metric spaces. Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance (American Mathematical Society, Providence, RI, 2004), mem. Amer. Math. Soc. 1

2004

Cited alongside, same era.

J. Ambjørn, J. Jurkiewicz, and R. Loll, Physical Review Letters 95

2005

Cited alongside, same era.

A. Connes, JHEP 11

2006

Cited alongside, same era.

D. O’Connor and B. Ydri, Journal of High Energy Physics 2006

2006

F. D’Andrea, F. Lizzi, and J. C. Várilly, Letters in Mathematical Physics 103

2013

Later among the works it cites.

G. Calcagni, D. Oriti, and J. Thürigen, Class. Quant. Grav. 31

2014

Later among the works it cites.

J. W. Barrett, Journal of Mathematical Physics 56

2015

Later among the works it cites.

F. Latrémolière, Transactions of the American Mathematical Society 368

2015

Later among the works it cites.

J. W. Barrett and L. Glaser, J. Phys. A49

2016

Later among the works it cites.

S. Carlip, Classical and Quantum Gravity 34

2017

Later among the works it cites.

G. Cornelissen and A. Kontogeorgis, Letters in Mathematical Physics 107