P. van der Hoorn, W.J. Cunningham, G. Lippner, C. Trugenberger, and D. Krioukov
Ollivier-Ricci Curvature Convergence in Random Geometric Graphs
arXiv Preprint
Summary: We prove the Ollivier-Ricci curvature on random geometric graphs converges to the Ricci curvature of the underlying Riemannian manifold. arXiv
W.J. Cunningham, B. Dittrich, and S. Steinhaus
Tensor Network Renormalization with Fusion Charges: Applications to 3D Lattice Gauge Theory
Universe 6, 97 (2020)
Summary: We study the renormalization flow of three-dimensional spin foams in the fusion basis. DOI arXiv
W.J. Cunningham and S. Surya
Dimensionally Restricted Causal Set Quantum Gravity: Examples in Two and Three Dimensions
Classical and Quantum Gravity 37, 054002 (2020)
Summary: We present results for causal set dynamics in two and three dimensions with non-trivial topology. DOI arXiv
B. Bahr, W.J. Cunningham, B. Dittrich, L. Glaser, D. Lang, E. Schnetter, and S. Steinhaus
Data on Sharing Data
Nature Physics 15, 724 (2019)
Summary: We present evidence of support for open data in the quantum gravity community. DOI
J. Carifio, W.J. Cunningham, J. Halverson, D. Krioukov, C. Long, and B.D. Nelson
Vacuum Selection from Cosmology on Networks of String Geometries
Physical Review Letters 121, 101602 (2018)
Summary: We show a bubble cosmology model on networks of string geometries has late-time determined by the networks' eigenvector centralities, which provides a dynamical mechanism for vacuum selection in the string landscape. DOI arXiv
W.J. Cunningham
High Performance Algorithms for Quantum Gravity and Cosmology
Ph.D. Thesis, Northeastern University (2018)
Summary: I describe various scalable algorithms used in quantum gravity and cosmology simulations. arXiv
W.J. Cunningham
Inference of Boundaries in Causal Sets
Classical and Quantum Gravity 35, 094002 (2018)
Summary: New algorithms are used to infer the shape of the region bounding a causal set embedded into 2D Minkowski spacetime. DOI arXiv
W.J. Cunningham and D. Krioukov
Causal Set Generator and Action Computer
Computer Physics Communications 233, 123 (2018)
Summary: New parallel algorithms calculate the causal set Benincasa-Dowker action using CUDA, AVX, x86 assembly, and MPI; simulation speeds increase by 1000x. DOI arXiv
W.J. Cunningham, D. Rideout, J. Halverson, and D. Krioukov
Exact Geodesic Distances in FLRW Spacetimes
Physical Review D 96, 103538 (2017)
Summary: We provide closed-form solutions to some of the most important Friedmann-Lemaitre-Robertson-Walker spacetimes, and give a simple prescription to determine geodesic completeness using only the scale factor. DOI arXiv
W. Cunningham and D. Krioukov
Navigability of Random Geometric Graphs in the Universe and Other Spacetimes
Scientific Reports 7, 8699 (2017)
Summary: A spacetime is navigable only if it contains dark energy. DOI arXiv
W. Cunningham and J. Giedt
Eguchi-Kawai Reduction with One Flavor of Adjoint Mobius Fermion
Physical Review D 93, 045006 (2016)
Summary: Massless adjoint fermions stabilize the center symmetry of the SU(N) lattice gauge theory in the large-N limit. DOI arXiv