Aurélien Grabsch

Capacitance and charge relaxation resistance of chaotic cavities —Joint distribution of two linear statistics in the Laguerre ensemble of random matrices

We consider the AC transport in a quantum RC circuit made of a coherent chaotic cavity with a top gate. Within a random matrix approach, we study the joint distribution for the mesoscopic capacitance

Truncated Linear Statistics Associated with the Top Eigenvalues of Random Matrices

C_\mu=(1/C+1/C_q)^{-1}

Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap

and the charge relaxation resistance

Wigner–Smith time-delay matrix in chaotic cavities with non-ideal contacts

R_q

Distribution of spectral linear statistics on random matrices beyond the large deviation function -- Wigner time delay in multichannel disordered wires

, where

One-Dimensional Disordered Quantum Mechanics and Sinai Diffusion with Random Absorbers

C

Extremes of 2d Coulomb gas: universal intermediate deviation regime

is the geometric capacitance and

Fluctuations of observables for free fermions in a harmonic trap at finite temperature

C_q

Correlations of occupation numbers in the canonical ensemble and application to a Bose-Einstein condensate in a one-dimensional harmonic trap

the quantum capacitance. We study the limit of a large number of conducting channels

Fluctuations of linear statistics of free fermions in a harmonic trap at finite temperature

N