Current Publications

$\bullet $ F. Comets, C. Cosco, and C. Mukherjee. Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder. J. Stat. Phys., 179(3):713–728, April 2020. doi:10.1007/s10955-020-02539-7.

$\bullet $ C. Mukherjee and S. R. S. Varadhan. Identification of the polaron measure I: fixed coupling regime and the central limit theorem for large times. Communications on Pure and Applied Mathematics, 73(2):350–383, February 2020. doi:10.1002/cpa.21858.

$\bullet $ Y. Bröker and C. Mukherjee. Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder. Ann. Appl. Probab., 29(6):3745–3785, December 2019. doi:10.1214/19-AAP1491.

$\bullet $ Y. Bröker and C. Mukherjee. Localization of the gaussian multiplicative chaos in the wiener space and the stochastic heat equation in strong disorder. The Annals of Applied Probability, 29(6):3745–3785, December 2019. doi:10.1214/19-aap1491.

$\bullet $ S. Adams and C. Mukherjee. Commutative diagram of the gross-pitaevskii approximation. arXiv e-prints, November 2019. arXiv:1911.09635.

$\bullet $ G. Alsmeyer and C. Mukherjee. On Null-homology and stationary sequences. arXiv e-prints, October 2019. arXiv:1910.07378.

$\bullet $ R. Bazaes, C. Mukherjee, A. Ramirez, and S. Saglietti. Equality and difference of quenched and averaged large deviation rate functions for random walks in random environments without ballisticity. arXiv e-prints, June 2019. arXiv:1906.05328.

$\bullet $ F. Comets, C. Cosco, and C. Mukherjee. Space-time fluctuation of the kardar-parisi-zhang equation in $d\geq 3$ and the gaussian free field. arXiv e-prints, May 2019. arXiv:1905.03200.

$\bullet $ Y. Bröker and C. Mukherjee. Quenched central limit theorem for the stochastic heat equation in weak disorder. In Probability and analysis in interacting physical systems, volume 283 of Springer Proc. Math. Stat., pages 173–189. Springer, Cham, May 2019. doi:10.1007/978-3-030-15338-0_6.

$\bullet $ F. Comets, C. Cosco, and C. Mukherjee. Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder. arXiv e-prints, February 2019. arXiv:1902.04104.