A. Beveridge, A. Holcombe-Pomerance, Random Walks and the Best Meeting Time for Trees, https://arxiv.org/abs/2510.24387 Preprint link: https://arxiv.org/abs/2510.24387 We consider random walks on a tree $G=(V,E)$ with stationary distributio…
A. Beveridge, B. Bridenbaugh, A. Holcombe-Pomerance, Random Walks and the Meeting Time for Trees, https://arxiv.org/abs/2508.02804 Preprint link: https://arxiv.org/abs/2508.02804 Consider a random walk on a tree $G=(V,E)$. For $v,w \in V$,
A. Beveridge, K. Heysse, R. O'Higgins, L. Vescovo, https://arxiv.org/abs/2411.06247. Preprint link: https://arxiv.org/abs/2411.06247 We characterize the extremal structure for the exact mixing time for random walks on trees $T_{n,d}$ of ord…
A. Beveridge and I. Calaway, The Voter Basis and the Admissibility of Tree Characters, Order, Vol. 38, No. 1, (2021). Preprint link: https://arxiv.org/abs/1809.08332 When making n simultaneous decisions (for example, in a referendum electio…
Published in International Journal on Computational Geometry and Applications, 2019 L. Berry, A. Beveridge, J. Butterfield, V. Isler, Z. Keller, A. Shine, J. Wang, Line-of-Sight Pursuit in Monotone and Scallop Polygons, International Journa…
Published in Artificial Intelligence Journal, 2019 D. Ozsoyeller, A. Beveridge and V. Isler Rendezvous in Planar Environments with Obstacles and Unknown Initial Distance, Artificial Intelligence Journal, Vol. 273 (2019), 19-36. Preprint lin…
Published in Narrative Ecosystems: Reading Contemporary Serial Television Universes, 2018 A. Beveridge and M. Chemers, The Game of "Game of Thrones": Fractal Dramaturgy and Networked Concordances, in: Narrative Ecosystems: Reading Contempor…
Published in Ars Mathematica Contemporanea, 2017 A. Beveridge, Y. Cai, Pursuit-Evasion in a Two-Dimensional Domain, Ars Mathematica Contemporanea, Vol. 13 (2017), 187-206. Preprint link: https://arxiv.org/abs/1505.00297 We prove two general…
Published in The Skeptic Magazine (UK), 2016 A. Beveridge, A Science of Networks, The Skeptic Magazine, Vol. 6, No. 2 (2016), pp. 18-21. Preprint link: https://www.skeptic.org.uk/2021/08/a-science-of-networks-visualising-connections-using-g…
Published in Combinatorics, Probability and Computing, 2016 A. Beveridge, A Hitting Time Formula for the Discrete Green's Function, Combinatorics, Probability and Computing, Vol. 25, (2016) pp. 362-379. Preprint link: https://arxiv.org/abs/…
Published in Graphs and Combinatorics, 2016 A. Beveridge, J. Youngblood, The Best Mixing Time for Random Walks on Trees, Graphs and Combinatorics, Vol. 32, No. 6 (2016) pp. 2211-2239. Preprint link: https://arxiv.org/abs/1410.5112 We use st…
Published in Math Horizons Magazine, 2016 A. Beveridge, J. Shan, Network of Thrones, Math Horizons Magazine, Vol. 23, No. 4 (2016) pp. 18-22. Preprint link: https://github.com/mathbeveridge/mathbeveridge.github.io/blob/master/files/Networko…