Publications and Preprints

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Expository articles:
  • Random metric geometries on the plane and Kardar-Parisi-Zhang universality. To appear in AMS Notices (2022). Link.

  • Fractal structure in the Directed Landscape. (with Milind Hegde) For a special issue in honour of Rajeeva L. Karandikar. We plan on expanding this in the future. Link.


    • [61] Universality of Poisson-Dirichlet law for log-correlated Gaussian fields via level set statistics. (with Kyeongsik Nam). Preprint (2022). Link.

    [60] Discrete geodesic local time converges under KPZ scaling. (with Lingfu Zhang). Preprint (2022). Link.

    [59] Sharp upper tail estimates and limit shapes for the KPZ equation via the tangent method. (with Milind Hegde). Preprint (2022). Link.

    [58] Spectral large deviations of sparse random matrices. (with Ella Hiesmayr, Kyeongsik Nam). Preprint (2022). Link.

    [57] Fractal geometry of the space-time difference profile in the directed landscape via construction of geodesic local times. (with Lingfu Zhang). Preprint (2022). Link.

    [56] Upper tail behavior of the number of triangles in random graphs with constant average degree. (with Ella Hiesmayr, Kyeongsik Nam). Preprint (2022). Link.

    [55] Collapse and Diffusion in Harmonic Activation and Transport (with Jacob Calvert, Alan Hammond). Preprint (2021). Link.

    [54] Many nodal domains in random regular graphs (with Theo McKenzie, Sidhanth Mohanty, Nikhil Srivastava). To appear in Comm. Math. Phys. Preprint (2021). Link.

    [53] Cutoff for the Glauber dynamics of the lattice free field (with Reza Gheissari). To appear in Proability and Mathematical Physics. Preprint (2021). Link.

    [52] Environment seen from infinite geodesics in Liouville Quantum Gravity. (with Riddhipratim Basu, Manan Bhatia). Preprint (2021). Link.

    [51] Local and global comparisons of the Airy difference profile to Brownian local time. (with Milind Hegde). To appear in AIHP. Preprint (2021). Link.

    [50] Large deviations for the largest eigenvalue of Gaussian networks with constant average degree. (with Kyeongsik Nam). To appear in Probab. Theory Related Fields (2021). Link.

    [49] Stability and chaos in dynamical last passage percolation. (with Alan Hammond). Preprint (2020). Link.

    [48] Geometry of near ground states in Gaussian polymer models. (with Alan Hammond). Preprint (2020). Link.

    [47] Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry. (with Milind Hegde). Preprint (2020). Link.

    [46] Interlacing and scaling exponents for the geodesic watermelon in last passage percolation. (with R. Basu, A. Hammond, M. Hegde). To appear in Comm. Math. Phys. Preprint (2020). Link.

    [45] Chemical subdiffusivity of critical 2D percolation. (with James R. Lee). To appear in Comm. Math. Phys. Preprint (2020). Link.

    [44] Local and global geometry of the 2D Ising interface in critical pre-wetting. (with Reza Gheissari). To appear in Annals of Probability. Preprint (2020). Link.

    [43] Spectral Edge in Sparse Random Graphs: Upper and Lower Tail Large Deviations. (with Bhaswar Bhattacharya and Sohom Bhattacharya). To appear in Annals of Probability. Preprint (2020). Link.

    [42] Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison. (with Riddhipratim Basu and Lingfu Zhang). To appear in Communications in Mathematical Physics. Preprint (2019). Link.

    [41] Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape. (with Erik Bates and Alan Hammond). To appear in Electronic Journal of Probability. Preprint (2019). Link.

    [40] Sub-critical exponential random graphs: concentration of measure and some applications. (with Kyeongsik Nam). To appear in Transactions of the AMS. Preprint (2019). Link.

    [39] Lower Deviations in \(\beta\)-ensembles and Law of Iterated Logarithm in Last Passage Percolation. (with Riddhipratim Basu, Milind Hegde, Manjunath Krishnapur), To appear in Israel Journal of Mathematics. (2019). Link.

    [38] High-girth near-Ramanujan graphs with localized eigenvectors. (with Noga Alon and Nikhil Srivastava), To appear in Israel Journal of Mathematics. Preprint (2019). Link.

    [37] Ground States And Hyperuniformity Of The Hierarchical Coulomb Gas In All Dimensions. (with Sourav Sarkar), To appear in Probab. Theory and Related Fields. (2019). Link.

    [36] Fractal geometry of Airy_2 processes coupled via the Airy sheet (with Riddhipratim Basu and Alan Hammond), To appear in Annals of Probability. (2019). Link.

    [35] Connecting Eigenvalue Rigidity with Polymer Geometry: Diffusive Transversal Fluctuations under Large Deviation. (with Riddhipratim Basu), To appear in AIHP. Preprint (2019). Link.

    [34] Information Percolation and Cutoff for the Random-Cluster Model. (with Insuk Seo), To appear in Random Structures and Algorithms. (2018). Link.

    [33] Upper Tails for Edge Eigenvalues of Random Graphs. (with Bhaswar B. Bhattacharya), To appear in Siam Journal on Discrete Mathematics. (2018). Link.

    [32] Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. (with Hugo Duminil-Copin, Alan Hammond, Ioan Manolescu), To appear in Annals of Probability. (2018). Link.

    [31] Time Correlation Exponents in Last Passage Percolation. (with Riddhipratim Basu), To appear in the Special volume in honor of Vladas Sidoravicius, series ”Progress in Probability”. Preprint (2018). Link.

    [30] On Non-localization of Eigenvectors of High Girth Graphs. (with Nikhil Srivastava), To appear in International Mathematics Research Notices. (2018). Link.

    [29] Upper tail large deviation in First passage percolation. (with Riddhipratim Basu, Allan Sly), Accepted in Communications on Pure and Applied Mathematics. (2017). Link.

    [28] Delocalization of polymers in lower tail large deviation. (with Riddhipratim Basu, Allan Sly) Communications in Mathematical Physics volume 370, pages 781-806(2019) Link.

    [27] Formation of large scale random structure by competitive erosion. (with Lionel Levine, Sourav Sarkar) Annals of Probability. Volume 47, Number 6 (2019), 3649-3704. Link.

    [26] Activated Random walk on a cycle. (with Riddhipratim Basu, Christopher Hoffman, Jacob Richey) Annales de lInstitut Henri Poincare Probab. Statist. Volume 55, Number 3 (2019), 1258-1277. Link.

    [25] The Competition of Roughness and Curvature in Area-Constrained Polymer Models. (with Riddhipratim Basu, Alan Hammond) Communications in Mathematical Physics volume 364, pages 1121-1161 (2018) Link.

    [24] Upper triangular matrix walk: Cutoff for finitely many columns. (with Fabio Martinelli) Random Structures and Algorithms, Volume 55, Issue2 September 2019, Pages 313-341 Link.

    [23] Diffusive estimates for random walks on stationary random graphs of polynomial growth. (with James R. Lee, Yuval Peres) Geometric and Functional Analysis, Vol 27, No 3, Pgs 596-630, (2017). Link.

    [22] SO(N) Lattice Gauge Theory, Planar and beyond (with Riddhipratim Basu) Communications on Pure and Applied Mathematics, Vol 71, No 10, Pgs 2016-2064, (2018). Link.

    [21] Upper tails for arithmetic progressions in a random set, (with Bhaswar B. Bhattacharya, Xuancheng Shao, Yufei Zhao) International Mathematics Research Notices, Volume 2020, Issue 1, January 2020, Pages 167-213 Link.

    [20] Entropic CLT and phase transition in high-dimensional Wishart matrices, (with Sébastien Bubeck) International Mathematics Research Notices, Vol 2018, No 2, Pgs 588-606, (2016). Link.

    [19] Consistent nonparametric estimation for heavy-tailed sparse graphs, (with Christian Borgs, Jennifer T. Chayes, Henry Cohn), To appear in Annals of Statistics. Preprint (2015), Link.

    [18] Non-fixation for conservative stochastic dynamics on the line, (with Riddhipratim Basu, Christopher Hoffman) Communications in Mathematical Physics, Vol 358, No 3, Pgs 1151-1185, (2018). Link.

    [17] Upper tails and independence polynomials in random graphs, (with Bhaswar B. Bhattacharya, Eyal Lubetzky, Yufei Zhao) Advances in Mathematics, Vol 319, Pgs 313-347, (2017). Link.

    [16] Sequence assembly from corrupted shotgun reads, (with Elchanan Mossel, Miklos Z. Racz) IEEE International Symposium on Information Theory (ISIT), 2016. Link.

    [15] Recovery and Rigidity in a Regular Stochastic Block Model, (with Gerandy Brito, Ioana Dumitriu, Christopher Hoffman, Linh V. Tran). (2015),Link.
    Extended abstract to appear in SODA 2016.

    [14] Heat diffusion with frozen boundary, (with Laura Florescu, Yuval Peres, Joel Spencer), Journal of Statistical Physics Volume 161, No 3 , Ogs 521-531. Link

    [13] Competitive erosion is conformally invariant, (with Yuval Peres) Communications in Mathematical Physics, Vol 362, No 2, Pgs 45-511, (2018). Link.

    [12] Convergence of discrete Green functions with Neumann boundary conditions, (with Yuval Peres) Potential Analysis, Vol 46, No 4, Pgs 799-818, (2017) Link.

    [11] Formation of an interface by competitive erosion, (with Lionel Levine, Yuval Peres and James Propp) Probability Theory and Related fields, Vol 168, No 1-2, Pgs 455-509, (2017) Link.

    [10] The Random Transposition Dynamics on Random Regular Graphs and the Gaussian Free Field, (with Soumik Pal), To appear in AIHP. Preprint (2014), Link.

    [9] Oil and water: a two-type internal aggregation model, (with Elisabetta Candellero, Christopher Hoffman and Lionel Levine) Annals of Probability, Vol 45, No 6A, Pgs 4019-4070, (2017). Link.

    [8] Permuted random walk typically exits in linear time, (with Yuval Peres) Preprint (2013), Link
    Extended abstract appeared in ANALCO 2014.

    [7] Cutoff for the East Process, (with Eyal Lubetzky and Fabio Martinelli) Communications in Mathematical Physics, Vol 335, No 3, Pgs 1287-1322, (2015). Link

    [6] Escape rates for rotor walk in Z^d, (with Laura Florescu, Lionel Levine and Yuval Peres ) SIAM J. Discrete Math., Vol 28 No 1, Pgs 323-334, (2014). Link

    [5] Optimal Hypergraph Edge Discrimination Problem, (with Bhaswar Bhattacharya and Sayantan Das ) Electronic Journal of Combinatorics Vol 21 (3), P3.18, 2014. Link

    [4] Joint convergence of several copies of different patterned random matrices, (with Riddhipratim Basu, Arup Bose and Rajat Subhra Hazra ) Electronic Journal of Probability. 17 (2012), no. 82, 1-33. Link

    [3] Spectral properties of random triangular matrices, (with Riddhipratim Basu, Arup Bose and Rajat Subhra Hazra ) Random Matrices: Theory and Applications Vol. 1, No. 3 (2012) 1250003. Link

    [2] Limiting Spectral Distribution of Block Matrices with Toeplitz Block Structure, (with Riddhipratim Basu, Arup Bose and Rajat Subhra Hazra )
    Statistics and Probability Letters, Volume 82, Issue 7, 1430-1438, (2012). Link

    [1] A complete characterization of the evolution of RC4 pseudo random generation algorithm, (with Riddhipratim Basu, Subhomoy Maitra and Goutam Paul)
    J. Mathematical Cryptology (2008), Vol. 2, No.3, p.257-289. (2008). Link