Yinjie Li

Lieb's Permanental Dominance Conjecture for Ordinary Immanants through Order Fifteen

We prove the ordinary irreducible-immanant form of Lieb’s permanental dominance conjecture through order fifteen. Building on Pate’s results through order thirteen, we settle the remaining order-14 case and the two remaining order-15 cases. The argument also yields several infini...

Lieb's Permanental Dominance Conjecture for Ordinary Immanants through Order Fifteen

We prove the ordinary irreducible-immanant form of Lieb’s permanental dominance conjecture through order fifteen. Building on Pate’s results through order thirteen, we settle the remaining order-14 case and the two remaining order-15 cases. The argument also yields several infini...

The Colomo–Pronko conjecture for frozen-corner alternating sign matrices

We prove the Colomo–Pronko conjecture for alternating sign matrices with a prescribed square of zeros at a corner, for all matrix sizes and freezing parameters. A known multiple-integral formula for the frozen-corner count is reduced to determinant representations built from fixe...

The Colomo–Pronko conjecture for frozen-corner alternating sign matrices

We prove the Colomo–Pronko conjecture for alternating sign matrices with a prescribed square of zeros at a corner, for all matrix sizes and freezing parameters. A known multiple-integral formula for the frozen-corner count is reduced to determinant representations built from fixe...