Erik Bates

Bates, E. (2024). Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation. Memoirs of the American Mathematical Society. https://doi.org/10.1090/memo/1460

Bates, E. (2024). Empirical measures, geodesic lengths, and a variational formula in first-passage percolation. American Mathematical Society.

Bates, E., & Sohn, Y. (2024). Parisi Formula for Balanced Potts Spin Glass. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(10). https://doi.org/10.1007/s00220-024-05100-9

Bates, E., Harper, D., Shen, X., & Sorensen, E. (2023). An upper bound on geodesic length in 2D critical first-passage percolation. https://doi.org/10.48550/ARXIV.2309.04454

Bates, E., Wai-Tong, Fan, & Seppäläinen, T. (2023). Intertwining the Busemann process of the directed polymer model. https://doi.org/10.48550/ARXIV.2307.10531

Bates, E., & Sohn, Y. (2022). Crisanti–Sommers Formula and Simultaneous Symmetry Breaking in Multi-species Spherical Spin Glasses. Communications in Mathematical Physics. https://doi.org/10.1007/s00220-022-04421-x

Bates, E., & Sohn, Y. (2022). Free energy in multi-species mixed p-spin spherical models. Electronic Journal of Probability, 27(none). https://doi.org/10.1214/22-ejp780

Bates, E., Ganguly, S., & Hammond, A. (2022). Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape. Electronic Journal of Probability, 27(none). https://doi.org/10.1214/21-ejp706

Bates, E., & Podder, M. (2021). Avoidance couplings on non‐complete graphs. Random Structures  Algorithms, 59(1), 25–52. https://doi.org/10.1002/rsa.20999

Bates, E. (2021). Full-path localization of directed polymers. Electronic Journal of Probability, 26(none). https://doi.org/10.1214/21-ejp641

Bates, E., & Chatterjee, S. (2020). Fluctuation lower bounds in planar random growth models. Annales De l'Institut Henri Poincaré, Probabilités Et Statistiques, 56(4). https://doi.org/10.1214/19-aihp1043

Bates, E., & Chatterjee, S. (2020). Localization in Gaussian disordered systems at low temperature. The Annals of Probability, 48(6). https://doi.org/10.1214/20-aop1436

Bates, E., & Chatterjee, S. (2020). The endpoint distribution of directed polymers. The Annals of Probability, 48(2). https://doi.org/10.1214/19-aop1376

BATES, E. R. I. K., & SAUERMANN, L. I. S. A. (2019). An Upper Bound on the Size of Avoidance Couplings. Combinatorics, Probability and Computing, 28(3), 325–334. https://doi.org/10.1017/s0963548318000500

Bates, E. (2019). Localization and free energy asymptotics in disordered statistical mechanics and random growth models (arXiv). https://doi.org/10.48550/ARXIV.1906.07780

Bates, E., Sloman, L., & Sohn, Y. (2019). Replica Symmetry Breaking in Multi-species Sherrington–Kirkpatrick Model. Journal of Statistical Physics, 174(2), 333–350. https://doi.org/10.1007/s10955-018-2197-4

Bates, E. (2018). Localization of directed polymers with general reference walk. Electronic Journal of Probability, 23(none). https://doi.org/10.1214/18-ejp158

Malaia, E. A., Bates, E., Seitzman, B., & Coppess, K. (2016). Altered brain network dynamics in youths with autism spectrum disorder. Experimental Brain Research, 234(12), 3425–3431. https://doi.org/10.1007/s00221-016-4737-y