Research Interests
$\bullet$ Large deviations and stochastic analysis
$\bullet$ Directed polymers, stochastic PDEs, multiplicative chaos
$\bullet$ Stochastic homogenization, Hamilton-Jacobi equations
$\bullet$ Percolation, geometric group theory, C* algebras
• Mukherjee, C; Varadhan, SRS Brownian occupation measures, compactness and large deviations. Annals of Probability Vol. 44 (6), 2016, pp 3934-3964 online
• Mukherjee, C Gibbs Measures on Mutually Interacting Brownian Paths under Singularities. Communications on Pure and Applied Mathematics Vol. 70 (12), 2017, pp 2366-2404 online
• Mukherjee, C; Shamov, A; Zeitouni, O Weak and strong disorder for the stochastic heat equation and continuous directed polymers in d≥3. Electronic Communications in Probability Vol. 21, 2016, pp 1-12 online
• Comets, F; Cosco, C; Mukherjee, C Space-time fluctuation of the Kardar-Parisi-Zhang equation in d≥3 and the Gaussian free field. https://arxiv.org/abs/1905.03200 Vol. 2019, 2019 online
• Berger, N; Mukherjee, C; Okamura, K. Quenched Large Deviations for Simple Random Walks on Percolation Clusters Including Long-Range Correlations. Communications in Mathematical Physics Vol. 358, 2018, pp 633–673 online
• Bolthausen, E; König, W; Mukherjee, C Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process. Communications on Pure and Applied Mathematics Vol. 70 (8), 2017, pp 1598-1629 online
• Mukherjee, C; Varadhan, SRS Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times. Communications on Pure and Applied Mathematics Vol. 73 (2), 2020, pp 350-383 online
• Mukherjee, C; Varadhan, SRS Identification of the Polaron measure in strong coupling and the Pekar variational formula. Annals of Probability Vol. 48 (5), 2020, pp 2119-2144 online
• Mukherjee, C Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation. Annals of Applied Probability Vol. https://arxiv.org/abs/1706.09345, 2017 online
• Bröker, Y; Mukherjee, C Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder. Annals of Applied Probability Vol. 29 (6), 2019, pp 3745-3785 online
Current Cluster Publications of Prof. Dr. Chiranjib Mukherjee
$\bullet $ Chiranjib Mukherjee and Konstantin Recke. Schur multipliers of C$^*$ algebras, group-invariant compactification and applications to amenability and percolation. Journal of Functional Analysis, 287(2):Paper No. 110468, July 2024. doi:10.1016/j.jfa.2024.110468.
$\bullet $ Chiranjib Mukherjee and Konstantin Recke. Coarse embeddability, $l^1$-compression and percolations on general graphs. arXiv e-prints, June 2024. arXiv:2406.04222.
$\bullet $ E. Bolthausen, W. König, and C. Mukherjee. Self-repellent Brownian bridges in an interacting bose gas. arXiv e-prints, May 2024. arXiv:2405.08753.
$\bullet $ Rodrigo Bazaes, Isabel Lammers, and Chiranjib Mukherjee. Subcritical Gaussian multiplicative chaos in the Wiener space: construction, moments and volume decay. Probability Theory and Related Fields, April 2024. doi:10.1007/s00440-024-01271-7.
$\bullet $ Francis Comets, Clément Cosco, and Chiranjib Mukherjee. Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d\geq 3$ and the Gaussian free field. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 60(1):82–112, February 2024. doi:10.1214/22-AIHP1272.
$\bullet $ R. Bazaes, C. Mukherjee, M. Sellke, and S.R.S. Varadhan. Effective mass of the fröhlich polaron and the landau-pekar-spohn conjecture. arXiv e-prints, February 2024. arXiv:2307.13058.
$\bullet $ Alexander Dunlap and Chiranjib Mukherjee. Additive-multiplicative stochastic heat equations, stationary solutions, and Cauchy statistics. arXiv e-prints, February 2024. arXiv:2402.02907.
$\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, and Srinivasa R. S. Varadhan. Effective mass of the Fröhlich Polaron and the Landau-Pekar-Spohn conjecture. arXiv e-prints, July 2023. arXiv:2307.13058.
$\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro F. Ramírez, and Santiago Saglietti. Quenched and averaged large deviations for random walks in random environments: The impact of disorder. The Annals of Applied Probability, 33(3):2210–2246, June 2023. doi:10.1214/22-AAP1864.
$\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro F. Ramírez, and Santiago Saglietti. The effect of disorder on quenched and averaged large deviations for random walks in random environments: Boundary behavior. Stochastic Processes and their Applications, 158:208–237, April 2023. doi:10.1016/j.spa.2023.01.003.
$\bullet $ Chiranjib Mukherjee and Konstantin Recke. Haagerup property and group-invariant percolation. arXiv e-prints, March 2023. arXiv:2303.17429.
$\bullet $ Rodrigo Bazaes and Chiranjib Mukherjee. Positive and negative moments for directed polymers in random environment in weak disorder. arXiv e-prints, December 2022. arXiv:2212.06029.
$\bullet $ Chiranjib Mukherjee and Konstantin Recke. Schur multipliers of $C^*$-algebras, group-invariant compactification and applications to amenability and percolation. arXiv e-prints, November 2022. arXiv:2211.11411.
$\bullet $ Rodrigo Bazaes, Alexander Mielke, and Chiranjib Mukherjee. Stochastic homogenization for Hamilton-Jacobi-Bellman equations on continuum percolation clusters. arXiv e-prints, August 2022. arXiv:2208.07269.
$\bullet $ Chiranjib Mukherjee. Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation. Ann. Appl. Probab., 32(3):2028–2062, June 2022. doi:10.1214/21-AAP1727.
$\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. Corrigendum and addendum: Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times. Comm. Pure Appl. Math., 75(7):1642–1653, April 2022. doi:10.1002/cpa.22052.
$\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. Identification of the polaron measure in strong coupling and the Pekar variational formula. Ann. Probab., 48(5):2119–2144, September 2020. doi:10.1214/19-AOP1392.
$\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. The Polaron measure. In Applied Probability and Stochastic Processes, pages 415–419. August 2020. doi:10.1007/978-981-15-5951-8_24.
$\bullet $ Yannic Bröker and Chiranjib Mukherjee. Geometry of the Gaussian multiplicative chaos in the Wiener space. arXiv e-prints, August 2020. arXiv:2008.04290.
$\bullet $ Francis Comets, Clément Cosco, and Chiranjib 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 $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times. Commun. Pure Appl. Math., 73(2):350–383, February 2020. doi:10.1002/cpa.21858.
$\bullet $ Yannic Bröker and Chiranjib 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 $ Stefan Adams and Chiranjib Mukherjee. Commutative diagram of the Gross-Pitaevskii approximation. arXiv e-prints, November 2019. arXiv:1911.09635.
$\bullet $ Gerold Alsmeyer and Chiranjib Mukherjee. On Null-homology and stationary sequences. arXiv e-prints, October 2019. arXiv:1910.07378.
$\bullet $ Yannic Bröker and Chiranjib 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. May 2019. doi:10.1007/978-3-030-15338-0_6.