• Sayan Das

    • Department of Mathematics

    Preprints and Publications (in reverse order of first appearance on arXiv)

    1. Sayan Das, Yuchen Liao, and Matteo Mucciconi. "Lower tail large deviations of the stochastic six vertex model." Submitted. [arXiv]
    2. Sayan Das and Li-Cheng Tsai. "Solving marginals of the LDP for the directed landscape." Submitted. [arXiv]
    3. Sayan Das, Duncan Dauvergne, and Bálint Virág. "Upper tail large deviations of the directed landscape." Submitted. [arXiv]
    4. Sayan Das and Christian Serio. "Convergence to stationary measures for the half-space log-gamma polymer." Submitted. [arXiv]
    5. Sayan Das, Hindy Drillick, and Shalin Parekh. "KPZ equation limit of random walks in random environments." Submitted. [arXiv]
    6. Sayan Das and Weitao Zhu. "The half-space log-gamma polymer in the bound phase." Commun. Math. Phys. 405, 184 (2024) [arXiv][Journal]
    7. Guillaume Barraquand, Ivan Corwin, and Sayan Das. "KPZ exponents for the half-space log-gamma polymer." Submitted. [arXiv]
    8. Sayan Das, Yuchen Liao, and Matteo Mucciconi. "Large deviations for the q-deformed polynuclear growth." Submitted. [arXiv]
    9. Sayan Das, Hindy Drillick, and Shalin Parekh. "KPZ equation limit of sticky Brownian motion." Journal of Functional Analysis Vol. 287, No. 10, Nov 2024 [arXiv][Journal]
    10. Sayan Das, Promit Ghosal, and Yier Lin. "Long and short time laws of iterated logarithms for the KPZ fixed point." Submitted. [arXiv]
    11. Jacopo Borga, Sayan Das, Sumit Mukherjee, and Peter Winkler. "Large deviation principle for random permutations." International Mathematics Research Notices, 2023;, rnad157 [arXiv][Journal]
    12. Sayan Das and Weitao Zhu. "Short and long-time path tightness of the continuum directed random polymer." Ann. Inst. H. Poincaré Probab. Statist. 60(1): 343-372. [arXiv][Journal]
    13. Sayan Das, Zoe Himwich, and Nitya Mani. "A fourth moment phenomenon for asymptotic normality of monochromatic subgraphs." Random Struct. Algorithms. (2023), 1– 29 [arXiv][Journal]
    14. Sayan Das and Weitao Zhu. "Localization of the continuum directed random polymer." Submitted. [arXiv]
    15. Bhaswar B. Bhattacharya, Sayan Das, Somabha Mukherjee, and Sumit Mukherjee. "Asymptotic Distribution of Random Quadratic Forms." Submitted. [arXiv]
    16. Sayan Das. "Temporal increments of the KPZ equation with general initial data." Submitted. [arXiv]
    17. Sayan Das and Weitao Zhu. "Upper-tail large deviation principle for the ASEP." Electron. J. Probab. 27: 1-34 (2022). [arXiv] [Journal]
    18. Sayan Das and Evgeni Dimitrov. "Large deviations for discrete beta-ensembles." Journal of Functional Analysis Vol. 283, No. 1, Jul 2022. [arXiv][Journal]
    19. Sayan Das and Promit Ghosal. "Law of Iterated Logarithms and Fractal Properties of the KPZ Equation." Ann. Probab. 51(3): 930-986 (May 2023). [arXiv][Journal]
    20. Bhaswar B. Bhattacharya, Sayan Das, and Sumit Mukherjee. "Motif Estimation via Subgraph Sampling: The Fourth Moment Phenomenon." Annals of Statistics 2022, Vol. 50, No. 2, 987-1011. [arXiv][Journal]
    21. Sayan Das and Li-Cheng Tsai. "Fractional moments of the Stochastic Heat Equation." Ann. Inst. H. Poincare Probab. Statist. 57 (2) 778-799, May 2021. [arXiv] [Journal]
    22. Sayan Das and Rajat Subhra Hazra. "Extremal process of the zero-average Gaussian free field for d \geq 3." Statistics & Probability Letters 146 (2019): 42-49. [arXiv] [Journal]

    PhD Thesis

    1. Path properties of KPZ models. [Link]

    Collaborators

  • Guillaume Barraquand, Bhaswar B. Bhattacharya, Jacopo Borga, Ivan Corwin, Duncan Dauvergne, Evgeni Dimitrov, Hindy Drillick, Promit Ghosal, Rajat Subhra Hazra, Zoe Himwich, Yuchen Liao, Yier Lin, Nitya Mani, Matteo Mucciconi, Somabha Mukherjee, Sumit Mukherjee, Shalin Parekh, Christian Serio, Li-Cheng Tsai, Bálint Virág, Peter Winkler, Weitao Zhu

    • My Erdös Number is 2, thanks to a paper with Peter Winkler.