Publications

1. H. Duminil-Copin, S. Goswami, A. Raoufi, F. Severo, and A. Yadin. Existence of phase transition for percolation using the Gaussian Free Field. To appear in Duke Math. J. Preprint is available at arxiv.org/abs/1806.07733.

2. H. Duminil-Copin, S. Goswami and A. Raoufi. Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Commun. Math. Phys. 374, 891-921 (2020). doi:10.1007/s00220-019-03633-y. Preprint is available at arxiv.org/abs/1808.00439.

3. M. Biskup, J. Ding and S. Goswami. Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field. Commun. Math. Phys. 373, 45-106 (2020). doi:10.1007/s00220-019-03589-z. Preprint is available at arxiv.org/abs/1611.03901.

4. J. Ding and S. Goswami. Upper bounds on Liouville first passage percolation and Watabiki's prediction. Commun. Pure Appl. Math., 72, no. 11 (2019): 2331-2384. Preprint is available at arxiv.org/abs/1610.09998.

5. J. Ding and S. Goswami. First passage percolation on the exponential of two-dimensional branching random walks. Electron. Commun. Probab., 22 (2017), no. 69.

6. J. Ding and S. Goswami. Percolation of averages in the stochastic mean field model: the near-supercritical regime. Electron. J. Probab., 20 (2015), no. 124.

Preprints

1. H. Duminil-Copin, S.Goswami, P-F. Rodriguez and F. Severo. Equality of critical parameters for percolation of Gaussian free field level-sets. Preprint, available at arxiv.org/abs/2002.07735.

2. S. Chatterjee and S. Goswami. Adaptive Estimation of Multivariate Piecewise Polynomials and Bounded Variation Functions by Optimal Decision Trees. Preprint, available at arxiv.org/abs/1911.11562.

3. S. Chatterjee and S. Goswami. New Risk Bounds for 2D Total Variation Denoising. Preprint, available at arxiv.org/abs/1902.01215.

4. J. Ding and S. Goswami. Liouville first passage percolation: the weight exponent is strictly less than 1 at high temperature. Preprint, available at arxiv.org/abs/1605.08392. This article gives a different proof for a weaker bound on the exponent compared to arxiv:1610.09998.

5. S. Goswami. Finite size scaling of random XORSAT. Preprint, available at arxiv.org/abs/1610.07431.