14 citations · 57 across the 43 of their papers we have counts for
5 papers · 1 filter
Point process convergence for branching random walks with regularly varying steps
Ayan Bhattacharya, Rajat Subhra Hazra, Parthanil Roy
We consider the limiting behaviour of the point processes associated with a branching random walk with supercritical branching mechanism and balanced regularly varying step size. A…
Remarks on absolute continuity in the context of free probability and random matrices
Arijit Chakrabarty, Rajat Subhra Hazra
In this note, we show that the limiting spectral distribution of symmetric random matrices with stationary entries is absolutely continuous under some sufficient conditions. This r…
Thick points for Gaussian free fields with different cut-offs
Alessandra Cipriani, Rajat Subhra Hazra
Massive and massless Gaussian free fields can be described as generalized Gaussian processes indexed by an appropriate space of functions. In this article we study various approach…
From random matrices to long range dependence
Arijit Chakrabarty, Rajat Subhra Hazra, Deepayan Sarkar
Random matrices whose entries come from a stationary Gaussian process are studied. The limiting behavior of the eigenvalues as the size of the matrix goes to infinity is the main s…
Inhomogeneous Long-Range Percolation for Real-Life Network Modeling
Philippe Deprez, Rajat Subhra Hazra, Mario V. Wüthrich
The study of random graphs has become very popular for real-life network modeling such as social networks or financial networks. Inhomogeneous long-range percolation (or scale-free…