3 papers
math.PR2026
On the monotonicity of average singular values of complex Gaussian random matrices
Jnaneshwar Baslingker, Biltu Dan
We give an alternate proof of the fact that the average singular value of complex Gaussian random matrix decreases with dimension. Conjectured by Bandeira, Kennedy, and Singer (Mat…
math.PR2019
Scaling limit of semiflexible polymers: a phase transition
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
We consider a semiflexible polymer in which is a random interface model with a mixed gradient and Laplacian interaction. The strength of the two operators is governed…
math.PR2018
The scaling limit of the -model
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
In this article we study the scaling limit of the interface model on where the Hamiltonian is given by a mixed gradient and Laplacian interaction. We show that in an…