Debankur Mukherjee

Debankur Mukherjee

 

 

 

Prager Assistant Professor of Applied Mathematics
Room  303, 182 George Street
+1 401-863-1552
[email protected]

Ph.D. Eindhoven University of Technology, August, 2014 - June, 2018

Research Interests

Broadly my research interest includes the field of probability theory. Specifically I am interested in stochastic processes scaling limits, mean-field and diffusion limit of Markov processes; load balancing, performance analysis, networking; random graphs, topological properties of (complex) networks, probabilistic combinatorial optimization; and graph theory.

Publications

1. Join-the-Shortest Queue Diffusion Limit: Tail Asymptotics and Scaling of Extrema. Sayan Banerjee, Debankur Mukherjee. Preprint.

2. Joint-the-Idle Queue with Service Elasticity and Infinite Buffers: Large-Scale Asymptotics. Debankur Mukherjee, Alexander Stolyar. Preprint.

3. Large deviations analysis for the M/H2/n + M queue in the Halfin-Whitt regime.  Debankur Mukherjee, Yuan Li, David A. Goldberg. Preprint.

4. Supermarket Model on Graphs. Amarjit Budhiraja, Debankur Mukherjee, Ruoyu Wu. Preprint.

5. Corrected Mean-field Model for Random Sequential Adsorption on Random Geometric Graphs. Souvik Dhara, Johan van Leeuwaarden, Debankur Mukherjee. Journal of Statistical Physics, 2018.

6. Universality of Power-of-d Load Balancing in Many-Server Systems. Debankur Mukherjee, Sem Borst, Johan van Leeuwaarden, Philip Whiting. Stochastic Systems (to appear).

7. Scalable Load balancing in Networked Systems: Universality Properties and Stochastic Coupling Methods (Expository article). Mark van der Boor, Sem Borst, Johan van Leeuwaarden, Debankur Mukherjee. Proc. International Congress of Mathematicians (ICM) 2018 (to appear).

8. Asymptotically Optimal Load Balancing Topologies. Debankur Mukherjee, Sem Borst, Johan van Leeuwaarden. Proc. SIGMETRICS ’18, June 18-22, 2018, Irvine, California, USA (to appear) Journal version: Proceedings of the ACM on Measurement and Analysis of Computing Systems 2(1), Article 14, 2018.

9. Asymptotic Optimality of Power-of-d Load Balancing in Large-Scale Systems. Debankur Mukherjee, Sem Borst, Johan van Leeuwaarden, Philip Whiting. Preprint.

10. Phase Transitions of Extremal Cuts for the Configuration Model.  Souvik Dhara, Debankur Mukherjee, Subhabrata Sen. Electronic Journal of Probability, 22(1), 2017.

11. Optimal Service Elasticity in Large-Scale Distributed Systems.  Debankur Mukherjee, Souvik Dhara, Sem Borst, Johan van Leeuwaarden.  Proc. SIGMETRICS ’17, Urbana-Champaign, Illinois, USA, 2017. Journal version: Proceedings of the ACM on Measurement and Analysis of Computing Systems 1(1), Article 25, 2017.

12. Independent-Set Reconfiguration Thresholds of Hereditary Graph Classes. Mark de Berg, Bart Jansen, Debankur Mukherjee, Proc. 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS), Chennai, India, 2016. Journal version: Discrete Applied Mathematics, 2018.

13. Efficient Load Balancing in Large-Scale Systems [extended abstract].  Debankur Mukherjee, Sem Borst, Johan van Leeuwaarden, Philip Whiting, Proc. Conference on Information Sciences and Systems (CISS), Princeton, NJ, 2016.

14. Universality of Power-of-d Load Balancing Schemes.  Debankur Mukherjee, Sem Borst, Johan van Leeuwaarden, Philip Whiting, ACM SIGMETRICS Performance Evaluation Review, 44(2), 36–38, 2016.

15. Generalized Random Sequential Adsorption on Erd˝os-R´enyi Random Graph.  Souvik Dhara, Johan van Leeuwaarden, Debankur Mukherjee, Journal of Statistical Physics, 164(5), 1217–1232, 2016.

16. Universality of Load Balancing Schemes on the Diffusion Scale. Debankur Mukherjee, Sem Borst, Johan van Leeuwaarden, Philip Whiting, Journal of Applied Probability, 53(4), 1111–1124, 201 

CV