Home Page for Arnab Sen

I am a postdoctoral fellow in Statistical Laboratory, University of Cambridge. My host is Prof. Nathanaël Berestycki. I finished my Phd in 2010 from the Department of Statistics at UC Berkeley. My advisors were Prof. Steven N. Evans and Prof. Elchanan Mossel. Before coming to Berkeley, I did my Bachelors (B. Stat.) and Masters (M. Stat.) with a specialization in Mathematical Statistics and Probability from Indian Statistical Institute, Calcutta. Research Interests: Random matrices, Coalescing particle system, Discrete Fourier analysis and Influences. Stochastic Calculus and its Applications.

Research

• Spectral norm of random large dimensional noncentral Toeplitz and Hankel matrices. Joint with Arup Bose. Electronic Communications In Probability, 13, 21-27 (2007).
  
  
• On asymptotic properties of the rank of a special random adjacency matrix. Joint with Arup Bose. Electronic Communications In Probability, 13, 200-205 (2007).
  
  
• Another look at the moment method for large dimensional random matrices. Joint with Arup Bose. Electronic Journal In Probability, 13, 588-628 (2008).
  
  
• Limiting spectral distribution of XX' matrices. Joint with Arup Bose and Sreela Gangopadhyay. Annales de l'Institut Henri Poincarè (B) , 46(3), 677--707 (2010).
  
  
• Branching Process approach for 2-SAT thresholds. Joint with Elchanan Mossel. J. Appl. Probab. Volume 47, Number 3, 796-81 (2010).
  
  
• Scaling limits for width two partially ordered sets: The Incomparability Window. Joint with Nayantara Bhatnagar, Nick Crawford and Elchanan Mossel. To appear in Order.
  
  
• Limiting Spectral distribution of random k-circulants. Joint with Arup Bose and Joydip Mitra. To appear in Journal of Theoretical Probab.
  
  
• Spectra of large random trees. Joint with Shankar Bhamidi and Steven N. Evans. To appear Journal of Theoretical Probab.
  
  
• Geometric Influences. Joint with Nathan Keller and Elchanan Mossel. To appear Ann. Probab.
  
  
• Coalescing systems of non-Brownian particles . Joint with Steve Evans and Ben Morris. To appear in Probability Theory and Related Fields.
  
  
• Stochastic population growth in spatially heterogeneous environments. Joint with Steve Evans, Peter Ralph, and Sebastian Schreiber. To appear in Journal of Mathematical Biology.
  
  
• On reverse hypercontractivity. Joint with Elchanan Mossel and Krzysztof Oleszkiewicz. Preprint.
  
  
• The top eigenvalue of the random Toeplitz matrix and the Sine kernel. Joint with Bàlint Viràg. Submitted.
  
  
• Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix. Joint with Bàlint Viràg. Electronic Communications In Probability, 16, 706-711 (2011).
  
  

Teaching

• Spring 2007: Stat 205B   (The main graduate Probability course: Part II)
  
• Fall 2007: Stat 200A   (Introduction to Probability and Statistics at an advanced level)
  
• Fall 2008: Stat 205A   (The main graduate Probability course: Part I)
  
• Fall 2009: Stat 21 and Stat 205A   (Stat 21: An undergraduate introductory course on Probability and Statistics for business)
  

Coauthors

Contact information