# Publications

P. van der Hoorn, W.J. Cunningham, G. Lippner, C. Trugenberger, and D. Krioukov

Summary: We prove the Ollivier-Ricci curvature on random geometric graphs converges to the Ricci curvature of the underlying Riemannian manifold. arXiv

**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

Summary: We study the renormalization flow of three-dimensional spin foams in the fusion basis. DOI arXiv

**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

Summary: We present results for causal set dynamics in two and three dimensions with non-trivial topology. DOI arXiv

**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

Summary: We present evidence of support for open data in the quantum gravity community. DOI

**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

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

**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

Summary: I describe various scalable algorithms used in quantum gravity and cosmology simulations. arXiv

**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

Summary: New algorithms are used to infer the shape of the region bounding a causal set embedded into 2D Minkowski spacetime. DOI arXiv

**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

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

**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

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

**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