Orléans-Ring 10

48149 Münster

chiranjib.mukherjee@uni-muenster.de

**Consultation hours:**by arrangement

Prof. Dr. Chiranjib Mukherjee

chiranjib.mukherjee@uni-muenster.de

**Consultation hours:** by arrangement

Room 130.012

Orléans-Ring 10

48149 Münster

Tel: 0251 83-33772Orléans-Ring 10

48149 Münster

chiranjib.mukherjee@uni-muenster.de

# Events/Conferences

**Conference at University of Münster (26-30 August, 2019):***Dynamics, Random Media and Universality of Complex Physical Systems***Conference at Weierstrass Institute/ TU Berlin (15-19 August, 2016):***Conference celebrating the 75th birthday of S.R.S.Varadhan*# Teaching

SS 2020 M.Sc. Seminar on Probability Theory WS 2019-20 Lecture: Probability Theory II and Masterseminar Hyperbolic Geometry SS 2019 B.Sc. Seminar on probabilistic Machine Learning WS 2018-19 Financial Mathematics and Masterseminar Wahrscheinlichkeitstheorie SS 2018 M.Sc. Seminar on High Dimensional Probability and Large Deviations WS 2017-18 Stochastic Analysis SS 2017 B.Sc. Seminar on Stochastics # Publications

- Commutative diagram of the Gross-Pitaevskii approximation (with Stefan Adams ), Preprint: https://arxiv.org/abs/1911.09635
- On null-homology and stationary sequences (with Gerold Alsmeyer) Preprint: https://arxiv.org/abs/1910.07378
- Equality and difference of quenched and averaged large deviation rate functions for random walks in random environments without ballisticity (with Rodrigo Bazaes, Alejandro Ramírez and Santiago Saglietti) Preprint:
*https://arxiv.org/abs/1906.05328* - Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d\geq 3$ and the Gaussian free field (with
*Francis Comets*and), Preprint:*Clément Cosco**https://arxiv.org/abs/1905.03200* - Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder, (with Francis Comets and Clément Cosco), (Journal of Statistical Physics), Preprint: https://arxiv.org/abs/1902.04104
- Identification of the Polaron measure in strong coupling and the Pekar variational formula
*, (*with S. R. S. Varadhan), (Annals of Probability),*Preprint:**https://arxiv.org/abs/1812.06927* - Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder, (with
*Yannic Bröker)*, (Annals of Applied ProbabilityPreprint:*),**https://arxiv.org/abs/1808.05202* - Fluctuation and rate of convergence for the stochastic heat equation in weak disorder, (with Francis Comets and Clément Cosco), Preprint: https://arxiv.org/abs/1807.03902
- Strong coupling limit of the Polaron measure and the Pekar process, (with
*S. R. S. Varadhan*), Preprint:*https://arxiv.org/abs/1806.06865* - Identification of the Polaron measure I: Fixed coupling regime and the Pekar variational formula, (with S. R. S. Varadhan), (Communications on Pure and Applied Mathematics), Preprint:
*https://arxiv.org/abs/1802.05696* - Quenched central limit theorem for the stochastic heat equation in weak disorder, (with Yannic Broeker), (Springer: Probability and Analysis in Interacting Physical Systems, in honour of S. R. S. Varadhan), (2019), Preprint:
*https://arxiv.org/abs/1710.00631* - Central limit theorem for Gibbs measures including long range and singular interactions and homogenization of the stochastic heat equation, (Annals of Applied Probability (in revision)), Preprint,
*https://arxiv.org/abs/1706.09345* - Quenched large deviations for random walks on percolation models including long range correlations, (with Noam Berger and Kazuki Okamura), (Communications in Mathematical Physics), Preprint:
*http://arxiv.org/abs/1612.01393* - Weak and strong disorder for the stochastic heat equation and continuous directed polymer in $d\geq 3$: (with Ofer Zeitouni and Alexander Shamov), (Electronic Comm. Probab.), Preprint:
*http://arxiv.org/abs/1601.01652* - Mean-field interaction of Brownian occupation measures. II: A rigorous construction of the Pekar process: (with Erwin Bolthausen and Wolfgang Koenig), (Communications on Pure and Applied Mathematics), Preprint:
*http://arxiv.org/abs/1511.05921* - Gibbs measures on mutually interacting Brownian paths under singularities, (Communications on Pure and Applied Mathematics), Preprint:
*http://arxiv.org/abs/1510.04663* - Mean-field interaction of Brownian occupation measures. I: Uniform tube property of the Coulomb functional: (with Wolfgang Koenig), (Annales de l'institut Henri Poincaré Probabilites et Statistiques), Preprint:
*http://arxiv.org/abs/1509.06672* - Quenched large deviations for random walks on supercritical percolation clusters, (with Noam Berger, Preprint:
*http://arxiv.org/abs/1501.02730* - Brownian occupation measures, compactness and large deviations, (with S. R. S. Varadhan), (Annals of Probability), Preprint:
*http://arxiv.org/abs/1404.5259* - Large deviations for Brownian intersection measures, (with Wolfgang Koenig), Communications on Pure and Applied Mathematics, Preprint:
*http://arxiv.org/abs/1105.1063*

# PhD Students

M. Sc Yannic BrökerRoom 130.029Tel: 0251 83-32750

Orléans-Ring 10

48149 Münster

y_broe01@uni-muenster.de**Consultation hours:**by arrangement# Supervision of bachelor and master theses

**Supervised master theses:**-

*Binan Gu, Courant Institute of Mathemetical Sciences, New York University, Spring semester 2016 (Topic: Critical branching random walks in a random environment)***Supervised bachelor theses:***- Carolin Dobbelhoff, University of Muenster, Summer semester 2019 (*Topic: Spectral clustering and Cheeger inequality)-

*Konstantin Recke, University of Muenster, Summer semester 2019*(Topic: Wigner's semicircle law and free probability)-

*Alicia Schuller, Universität Münster, Summer semester 2019 (*Topic: Fraud detection via deep learning methods)-

*Anna Moshkova, Universität Münster, Wintersemester 2019-20**- Johannes Altrock, Universität Münster, Wintersemester 2019-20**- Lukas Endeman, Universität Münster, Wintersemesetr 2019-20*