2 citations · 2 across the 6 of their papers we have counts for
7 papers
On the monotonicity of average singular values of complex Gaussian random matrices
Jnaneshwar Baslingker, Biltu Dan
We prove that the normalized -th moment of the Laguerre unitary ensemble, as a function of the dimension, is decreasing for fixed and increasing for f…
Partial divisibility of random sets and powers of completely monotone functions
Jnaneshwar Baslingker, Biltu Dan
In this article, we study exponents which preserve complete monotonicity of functions on lattices. We prove that for any completely monotone function on a finite lattice, …
On Hadamard powers of positive semi-definite matrices
Jnaneshwar Baslingker, Biltu Dan
Consider the set of scalars for which the th Hadamard power of any positive semi-definite (p.s.d.) matrix with non-negative entries is p.s.d. It is known that th…
Maximum of the membrane model on regular trees
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra +1
The discrete membrane model is a Gaussian random interface whose inverse covariance is given by the discrete biharmonic operator on a graph. In literature almost all works have con…
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…
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…
The scaling limit of the membrane model
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
On the integer lattice we consider the discrete membrane model, a random interface in which the field has Laplacian interaction. We prove that, under appropriate rescaling, the dis…