4 papers
Interpolation of Gaussian Free Fields via Random Matrices
Gabriel Raposo
In this paper we construct a two parameter family of generalized Gaussian fields which interpolates between the Gaussian Free Field, conditioned Gaussian Free Fields, and Gaussian…
Circular Rearrangement Inequality and Optimal Cyclic Birth and Death Chains
Gabriel Raposo
We prove a generalized circular rearrangement inequality: among all circular arrangements of a finite collection of positive numbers, the greedy arrangement simultaneously maximize…
A Refinement of Pohst's Inequality
Gabriel Raposo
We generalize an inequality conjectured by Pohst in 1977 and recently proved by the author and independently by Battistoni and Molteni. This new inequality improves a bound for the…
A Detailed Proof of Pohst's Inequality
Gabriel Raposo
In 1977 Pohst conjectured a certain inequality for variables and give a computer-assisted proof for . We give a proof for all using a combinatorial argument. This…