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Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas
We employ the random matrix theory (RMT) framework to revisit the distribution of resonance widths in quantum chaotic systems weakly coupled to the continuum via a finite number M of open channels. In contrast to the ...
Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition
We study the distribution of the mean radial displacement of charges of a 2D one-component plasma in the thermodynamic limit $N\to\infty$ at finite temperature $\beta>0$. We compute explicitly the large deviation functions ...