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The spectral dimension has proven to be a very informative observable to understand the properties of quantum geometries in approaches to quantum gravity.
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2009
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E. R. Livine and J. P. Ryan, A note on B-observables in Ponzano Regge 3D quantum gravity
2009
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2010
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L. Freidel and S. Speziale, Twisted geometries: A geometric parametrization of SU(2) phase space
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2011
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2014
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G. Calcagni, D. Oriti, and J. Thürigen, Spectral dimension of quantum geometries
2014
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2015
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G. Calcagni, D. Oriti, and J. Thürigen, Dimensional flow in discrete quantum geometries
2015
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PhD thesis, Humboldt-Universität zu Berlin, 2015
J. Thürigen, Discrete quantum geometries and their effective dimension · 2015
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2015
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S. Rastgoo and M. Requardt, Emergent space-time via a geometric renormalization method
2016
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2016
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2016
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B. Bahr and S. Steinhaus, Numerical Evidence for a Phase Transition in 4D Spin-Foam Quantum Gravity
2016
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2016
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Oxford University Press, 2016
R. Gurau, Random Tensors · 2016
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S. J. Carlip, Dimension and dimensional reduction in quantum gravity
2017
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A. Eichhorn, S. Mizera, and S. Surya, Echoes of Asymptotic Silence in Causal Set Quantum Gravity
2017
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D. Oriti, Group Field Theory and Loop Quantum Gravity · 2017
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2017
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2017
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2017
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P. Dona, M. Fanizza, G. Sarno, and S. Speziale, SU(2) graph invariants, Regge actions and polytopes
2018
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J. Thürigen, Wave propagation, dispersion relations and the spectral dimension on discrete quantum geometries
2018
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A. Pérez, The Spin-Foam Approach to Quantum Gravity
2019
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R. Gurau and J. P. Ryan, Melons are branched polymers
2085
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