My research is supported in part by NSF grant DMS-2246780.
Preprints
| 37. | Logarithmic delocalization of low temperature 3D Ising and Potts interfaces above a hard floor | w/ J. Chen and E. Lubetzky | Available at arXiv.2409.06079 | |
| 36. | Metastability in Glauber dynamics for heavy-tailed spin glasses | w/ C. Grant | Available at arXiv.2407.11874 | |
| 35. | Mean-field Potts and random-cluster dynamics from high-entropy initializations | w/ A. Blanca and X. Zhang | Available at arXiv:2404.13014 Extended abstract in SODA 2025 | |
| 34. | Finding planted cliques using Markov chain Monte Carlo | w/ A. Jagannath and Y. Xu | Available at arXiv:2311.07540 | |
| 33. | High-dimensional SGD aligns with emerging outlier eigenspaces | w/ G. Ben Arous, J. Huang, and A. Jagannath | Available at arXiv:2310.03010 Extended abstract in ICLR 2024 (Spotlight, top 5% equivalent) |
Publications
| 32. | Fast relaxation of the random field Ising dynamics | w/ A. El Alaoui, R. Eldan, and A. Piana | Annals of Probability, to appear. | 2024+ |
| 31. | Metastability cascades and prewetting in the SOS model | w/ E. Lubetzky | Probability Theory and Related Fields | 2024 |
| 30. | Critical wetting in the (2+1)D solid-on-solid model | w/ J. Chen and E. Lubetzky | Electronic Communications in Probability | 2024 |
| 29. | On the tractability of sampling from the Potts model at low temperatures via Swendsen--Wang dynamics | w/ A. Blanca | Probability Theory and Related Fields Extended abstract in FOCS 2023 | 2024 |
| 28. | Spatial mixing and the random-cluster dynamics on lattices | w/ A. Sinclair | Random Structures and Algorithms Extended abstract in SODA 2023. | 2023 |
| 27. | High-dimensional limit theorems for SGD: Effective dynamics and critical scaling | w/ G. Ben Arous, A. Jagannath | Commun. Pure and Applied Math. Extended abstract in NeurIPS 2022 (Outstanding Paper Award) | 2023 |
| 26. | Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor | w/ E. Lubetzky | Electronic Journal of Probability | 2023 |
| 25. | Approximate domain Markov property for rigid Ising interfaces | w/ E. Lubetzky | Journal of Statistical Physics | 2023 |
| 24. | Cutoff for the Glauber dynamics of the lattice free field | w/ S. Ganguly | Probability and Mathematical Physics | 2023 |
| 23. | Sampling from Potts on random graphs of unbounded degree via random-cluster dynamics | w/ A. Blanca | Annals of Applied Probability Extended abstract in RANDOM 2022 | 2022 |
| 22. | Low-temperature Ising dynamics with random initializations | w/ A. Sinclair | Annals of Applied Probability Extended abstract in STOC 2022 | 2022 |
| 21. | Random-cluster dynamics on random regular graphs in tree uniqueness | w/ A. Blanca | Commun. in Mathematical Physics | 2021 |
| 20. | Diffusions interacting through a random matrix: universality via stochastic Taylor expansion | w/ A. Dembo | Probability Theory and Related Fields | 2021 |
| 19. | Local and global geometry of the 2D Ising interface in critical pre-wetting | w/ S. Ganguly | Annals of Probability | 2021 |
| 18. | Online stochastic gradient descent on non-convex losses from high-dimensional inference | w/ G. Ben Arous, A. Jagannath | Journal of Machine Learning Research | 2021 |
| 17. | Tightness and tails of the maximum in 3D Ising interfaces | w/ E. Lubetzky | Annals of Probability | 2020 |
| 16. | Maximum and shape of interfaces in 3D Ising crystals | w/ E. Lubetzky | Commun. Pure and Applied Math. | 2020 |
| 15. | Algorithmic thresholds for tensor PCA | w/ G. Ben Arous, A. Jagannath | Annals of Probability | 2020 |
| 14. | Bounding flows for spherical spin glass dynamics | w/ G. Ben Arous, A. Jagannath | Commun. in Mathematical Physics | 2020 |
| 13. | Random-cluster dynamics in $\mathbb{Z}^2$: rapid mixing with general boundary conditions | w/ A. Blanca, E. Vigoda | Annals of Applied Probability | 2020 |
| 12. | Quasi-polynomial mixing of critical 2D random cluster models | w/ E. Lubetzky | Random Structures and Algorithms | 2020 |
| 11. | Exponentially slow mixing in the mean-field Swendsen--Wang dynamics | w/ E. Lubetzky, Y. Peres | Annales de l'IHP (B) Extended abstract in SODA 2018 | 2020 |
| 10. | Local minima in disordered mean-field ferromagnets | w/ E. Y. Song, C. Newman and D. Stein | Journal of Statistical Physics | 2020 |
| 9. | Ising model: local spin correlations and conformal invariance | w/ C. Hongler, S. C. Park | Commun. in Mathematical Physics | 2019 |
| 8. | Nature vs. nurture: dynamical evolution in disordered Ising ferromagnets | w/ L. Wang, C. Newman and D. Stein | Stat. Mech. of Classical and Disordered systems | 2019 |
| 7. | On the spectral gap of spherical spin glass dynamics | w/ A. Jagannath | Annales de l'IHP (B) | 2019 |
| 6. | Zero-temperature dynamics in the dilute Curie--Weiss model | w/ C. Newman, D. Stein | Journal of Statistical Physics | 2018 |
| 5. | Concentration inequalities for polynomials of contracting Ising models | w/ E. Lubetzky, Y. Peres | Electronic Commun. in Probability | 2018 |
| 4. | The effect of boundary conditions on mixing of 2D Potts models at discontinuous phase transitions | w/ E. Lubetzky | Electronic Journal of Probability | 2018 |
| 3. | Mixing times of critical two-dimensional Potts models | w/ E. Lubetzky | Commun. Pure and Applied Math. | 2018 |
| 2. | Long-time predictability in disordered spin systems following a deep quench | w/ J. Machta, C. Newman, D. Stein, J. Ye | Physical Review E | 2017 |
| 1. | Asymptotics of height change on toroidal Temperleyan dimer models | w/ J. Dubedat | Journal of Statistical Physics | 2015 |