Publications and preprints: Proof of the satisfiability conjecture for large k (revised April 2021).[arXiv] [conference] With Jian Ding and Allan Sly. Conference version in proceedings of 47th STOC (2015), pp. 59-68. Breaking of 1RSB in random regular MAX-NAE-SAT. [arXiv] With Zsolt Bartha and Yumeng Zhang. Conference version in proceedings of 60th FOCS (2019). Capacity lower bound for the Ising perceptron. [arXiv] With Jian Ding. Conference version in proceedings of 51st STOC (2019). Spectral algorithms for tensor completion. [arXiv] [journal] With Andrea Montanari. Comm. Pure Appl. Math., 2016.The number of solutions for random regular NAE-SAT. [arXiv] [conference] With Allan Sly and Yumeng Zhang. Conference version in proceedings of 57th FOCS (2016), pp. 724-731. Shotgun assembly of random regular graphs. [arXiv] With Elchanan Mossel. Supercritical minimum mean-weight cycles. [arXiv] With Jian Ding and David B. Wilson. To appear, Trans. Amer. Math. Soc..
Maximum independent sets on random regular graphs. [arXiv] [journal] With Jian Ding and Allan Sly. Acta Math. 217:2 (2016), pp. 263-340.
Satisfiability threshold for random regular NAE-SAT. [arXiv] [conference] [journal] With Jian Ding and Allan Sly. Comm. Math. Phys. 341:2 (2016), pp. 435-489.Conference version in proceedings of 46th STOC (2014), pp. 814-822. On the asymptotics of dimers on tori. [arXiv] [journal] With Richard W. Kenyon and David B. Wilson. Probab. Theory Rel. Fields 166:3 (2016), pp. 971-1023.
The replica symmetric solution for Potts models on d-regular graphs.
[arXiv] [journal] With Amir Dembo, Andrea Montanari, and Allan Sly. Comm. Math. Phys.
327:2 (2014), pp. 551-575.
The Hausdorff dimension of the CLE gasket. [arXiv] [journal] With Jason Miller and David B. Wilson. Ann. Probab.,
42:4 (2014), pp. 1644-1665.
Counting in two-spin models on d-regular graphs.
[arXiv] [journal] [conference] With Allan Sly. Ann. Probab.
42:6 (2014), pp. 2383-2416.
Conference version in proceedings of 53rd FOCS (2012), pp. 361-369. Factor models on locally tree-like graphs. [arXiv] [journal] With Amir Dembo and Andrea Montanari. Ann. Probab. 41:6 (2013), pp. 4162-4213.
Central limit theorem for biased random walk on multi-type Galton-Watson trees. [arXiv] [journal] With Amir Dembo. Elect. J. Probab. 17:75 (2012), pp. 1-40.
Strong path convergence from Loewner driving convergence. [arXiv] [journal] With Scott Sheffield. Ann. Probab. 40:2 (2012), pp. 578-610.
Conformally invariant scaling limits in planar critical percolation. [arXiv] [journal] Probab. Surveys 8 (2011), pp. 155-209.[accessibility.mit.edu] |