3 citations · 5 across the 4 of their papers we have counts for
4 papers
Central Limit Theorem for Pair Dependent Statistics in Mesoscopic Regime
Ander Aguirre, Alexander Soshnikov
We extend our results on the fluctuation of the pair counting statistic of the Circular Beta Ensemble for arbitrary in the mesoscopic regime $…
A note on pair dependent linear statistics with slowly growing variance
Ander Aguirre, Alexander Soshnikov
We prove Gaussian fluctuation for pair counting statistics of the form for the Circular Unitary Ensemble (CUE) of random matrices in the ca…
Pair Dependent Linear Statistics for Circular Beta Ensemble
Ander Aguirre, Alexander Soshnikov, Joshua Sumpter
We study limiting distribution of pair counting statistics of the form $ \sum_{1\leq i\neq j\leq N} f(L_N\*(θ_i-θ_j))$ for the circular -ensemble (CE) of random matrices for…
Phase transition in one-dimensional excitable media with variable interaction range
Ander Aguirre, Hanbaek Lyu, David Sivakoff
We investigate two discrete models of excitable media on a one-dimensional integer lattice : the -color Cyclic Cellular Automaton (CCA) and the -color Firefly Cel…