1. Eigenvalues and expanders
2. λ1, Isoperimetric inequalities for graphs, and superconcentrators
3. {Ana+18b} Nima Anari Kuikui Liu Shayan Oveis Gharan and Cynthia Vinzant. “Log-Concave Polynomials III: Mason’s Ultra-Log-Concavity Conjecture for Independent Sets of Matroids”. In: arXiv preprint arXiv:1811.01600 (2018). {Ana+18b} Nima Anari Kuikui Liu Shayan Oveis Gharan and Cynthia Vinzant. “Log-Concave Polynomials III: Mason’s Ultra-Log-Concavity Conjecture for Independent Sets of Matroids”. In: arXiv preprint arXiv:1811.01600 (2018).
4. Monte Carlo Markov Chain Algorithms for Sampling Strongly Rayleigh Distributions and Determinantal Point Processes;Anari Nima;COLT.,2016