| Private Homepage | https://www.uni-muenster.de/Stochastik/en/Arbeitsgruppen/Mukherjee/ | ||||||||||||
| CV |
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| Research Interests | Large deviations, interacting Brownian motions, applications to models in quantum statistical mechanics (e.g. Fröhlich Polaron, Bose-Einstein condesation, Gross-Pitaevskii formula) Stochastic PDEs, directed polymers, Gaussian multiplicative chaos, Gaussian free fields and Liouville quantum gravity Stochastic homogenization of partial differential equations (e.g. Hamilton-Jacobi-Bellman equations), random walks in random environments and on percolation clusters Probability on groups (of negative curvature), geometric group theory, ergodic theory, Roe Algebras | ||||||||||||
| Selected Publications | •Mukherjee, C; Varadhan, SRS. Brownian occupation measures, compactness and large deviations. Annals of Probability, Vol. 44 (6), 2016, pp 3934-3964 •Mukherjee, C. Gibbs Measures on Mutually Interacting Brownian Paths under Singularities. Communications on Pure and Applied Mathematics, Vol. 70 (12), 2017, pp 2366-2404 •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 •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 •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 •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 •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 •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 •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 •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 | ||||||||||||
| Project membership Mathematics Münster | C: Models and Approximations C2: Multi-scale phenomena and macroscopic structures C3: Interacting particle systems and phase transitions | ||||||||||||
| Current Publications | • Bazaes Rodrigo, Mukherjee Chiranjib, Ramírez Alejandro, Saglietti Santiago The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior. https://arxiv.org/abs/2101.04606 Vol. na, 2021 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 • Comets, F; Cosco, C; Mukherjee, C Renormalizing the Kardar-Parisi-Zhang equation in d≥3 in weak disorder. Journal of Statistical Physics Vol. 179, 2020, pp 713-728 online • Bröker, Yannic and Mukherjee, Chiranjib Geometry of the Gaussian multiplicative chaos in the Wiener space. https://arxiv.org/abs/2008.04290 Vol. na, 2020 online • Bröker, Y; Mukherjee, C Quenched central limit theorem for the stochastic heat equation in weak disorder. Probability and Analysis in Interacting Physical Systems Vol. 2019, 2019 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 • 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 • Bazaes, R; Mukherjee, C; Ramirez, A; Saglietti, S Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder. https://arxiv.org/abs/1906.05328 Vol. 2019, 2019 online | ||||||||||||
| Current Projects | • EXC 2044 - C2: Multi-scale phenomena and macroscopic structures online • EXC 2044 - C3: Interacting particle systems and phase transitions online | chiranjib dot mukherjee at uni-muenster dot de | |||||||||||
| Phone | +49 251 83-33772 | ||||||||||||
| FAX | +49 251 83-32712 | ||||||||||||
| Room | 130.012 | ||||||||||||
| Secretary | Sekretariat Kollwitz Frau Anita Kollwitz Telefon +49 251 83-33770 Fax +49 251 83-32712 Zimmer 130.030 | ||||||||||||
| Address | Prof. Dr. Chiranjib Mukherjee Institut für Mathematische Stochastik Fachbereich Mathematik und Informatik der Universität Münster Orléans-Ring 10 48149 Münster | ||||||||||||
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