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diff --git a/publications/journals.yaml b/publications/journals.yaml deleted file mode 100644 index 92dad56..0000000 --- a/publications/journals.yaml +++ /dev/null @@ -1,45 +0,0 @@ ---- -references: -- id: aristoteDynamicalTriangulationInduced2020 - abstract: >- - We present the single-particle sector of a quantum cellular automaton, - namely a quantum walk, on a simple dynamical triangulated 2-manifold. The - triangulation is changed through Pachner moves, induced by the walker - density itself, allowing the surface to transform into any topologically - equivalent one. This model extends the quantum walk over triangular grid, - introduced in a previous work, by one of the authors, whose space-time limit - recovers the Dirac equation in (2+1)-dimensions. Numerical simulations show - that the number of triangles and the local curvature grow as exp(a log(t) - - bt²), where a and b parametrize the way geometry changes upon the local - density of the walker, and that, in the long run, flatness emerges. Finally, - we also prove that the global behavior of the walker, remains the same under - spacetime random fluctuations. - accessed: - - year: 2020 - month: 8 - day: 17 - author: - - family: Aristote - given: Quentin - - family: Eon - given: Nathanaël - - family: Molfetta - given: Giuseppe - non-dropping-particle: di - citation-key: aristoteDynamicalTriangulationInduced2020 - container-title: Symmetry - DOI: 10.3390/sym12010128 - ISSN: 2073-8994 - issue: '1:128' - issued: - - year: 2020 - month: 1 - language: en - license: http://creativecommons.org/licenses/by/3.0/ - number: '1' - publisher: Multidisciplinary Digital Publishing Institute - title: Dynamical Triangulation Induced by Quantum Walk - type: article-journal - URL: https://www.mdpi.com/2073-8994/12/1/128 - volume: '12' -... |