Dr. Partha Pratim Ghosh

Research Interest :

My research interest lies in theoretical and applied probability focusing on discrete problems arising out of combinatorics, statistical physics and computer science. Perfectly aligned with my interests, I chose Branching Random Walk as a subject of my dissertation work. In addition to my thesis, I also worked on Percolation. During my M. Stat., I worked on several problems that matched my interests. Most of my research involves developing new techniques and methods.

Teaching :

• Winter Semester 2023 :  Markov Processes for the Masters in Mathematics at Technische Universität Braunschweig.

• Summer Semester 2023 :  Stochastic Processes and Continuous-time Financial Mathematics for the Masters in Mathematics at Technische Universität Braunschweig.

• Summer Semester 2021 :  Random Graphs for the B. Stat. Third Year at Indian Statistical Institute.

Branching Random Walk :

• Right-Most Position of a Last Progeny Modified Time Inhomogeneous Branching Random Walk. (with Antar Bandyopadhyay)
  
  Statistics & Probability Letters, 193: Paper No. 109697 (2023). [arXiv link] [Journal Link]

• Large Deviations for the Right-Most Position of a Last Progeny Modified Branching Random Walk.
  
  Electronic Communications in Probability, 27: Paper No. 6 (2022). [arXiv link] [Journal Link]

• Right-Most Position of a Last Progeny Modified Branching Random Walk. (with Antar Bandyopadhyay)
  ​​​​​
  Submitted (2021). [arXiv link]

Percolation :

• Criticality and Covered Area Fraction in Confetti and Voronoi Percolation. (with Rahul Roy)

  ​​​​​Journal of Statistical Physics, 186(1): Paper No. 20 (2022). [arXiv link] [Journal Link]

Miscellaneous :

• Characterization of Extreme Copulas. (with Subir Kumar Bhandari)

  ​​​​​Preprint (2017). [arXiv link]

PhD Thesis :

A Last Progeny Modified Branching Random Walk. [Link]
Indian Statistical Institute, 2022
Supervisor : Antar Bandyopadhyay