Erik Walter Bates

Empirical measures, geodesic lengths, and a variational formula in first-passage percolation

American Mathematical Society.

Parisi Formula for Balanced Potts Spin Glass

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(10).

An upper bound on geodesic length in 2D critical first-passage percolation

Intertwining the Busemann process of the directed polymer model

Parisi formula for balanced Potts spin glass

Crisanti–Sommers Formula and Simultaneous Symmetry Breaking in Multi-species Spherical Spin Glasses

Communications in Mathematical Physics.

Free energy in multi-species mixed p-spin spherical models

Electronic Journal of Probability, 27(none).

Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape

Electronic Journal of Probability, 27(none).

Avoidance couplings on non‐complete graphs

Random Structures &Amp; Algorithms, 59(1), 25–52.

Full-path localization of directed polymers

Electronic Journal of Probability, 26(none).

Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation

Fluctuation lower bounds in planar random growth models

Annales De l'Institut Henri Poincaré, Probabilités Et Statistiques, 56(4).

Localization in Gaussian disordered systems at low temperature

The Annals of Probability, 48(6).

The endpoint distribution of directed polymers

The Annals of Probability, 48(2).

Localization and free energy asymptotics in disordered statistical mechanics and random growth models

(arXiv).

Replica Symmetry Breaking in Multi-species Sherrington–Kirkpatrick Model

Journal of Statistical Physics, 174(2), 333–350.

An Upper Bound on the Size of Avoidance Couplings

Combinatorics, Probability and Computing, 28(3), 325–334.

Localization of directed polymers with general reference walk

Electronic Journal of Probability, 23(none).

Altered brain network dynamics in youths with autism spectrum disorder

Experimental Brain Research, 234(12), 3425–3431.