36 citations · 37 across the 7 of their papers we have counts for
7 papers
Moments at the hard edge and Rayleigh functions
Anna Maltsev, Nick Simm
Motivated by the analogy between spectral moments of random matrices and associated zeta functions, we study inverse power trace moments of the Laguerre ensemble of dimension a…
Higher order derivative moments of CUE characteristic polynomials and the Riemann zeta function
Alexander Grover, Francesco Mezzadri, Nick Simm
We use random matrix theory for the Circular Unitary Ensemble (CUE) to study moments of derivatives of the Riemann zeta function shifted a small distance from the critical line. Th…
Precise large deviations in geometric last passage percolation
Sung-Soo Byun, Christophe Charlier, Philippe Moreillon +1
We study the last passage time in geometric last passage percolation (LPP). As the system size increases, we derive precise large deviation probabilities -- up to and including the…
The Fourier coefficients of the holomorphic multiplicative chaos in the limit of large frequency
Joseph Najnudel, Elliot Paquette, Nick Simm +1
The holomorphic multiplicative chaos (HMC) is a holomorphic analogue of the Gaussian multiplicative chaos. It arises naturally as the limit in large matrix size of the characterist…
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Nick Simm, Fei Wei
We study the derivative of the characteristic polynomial of Haar distributed unitary matrices. We obtain the first explicit formulae for complex-valued moments when th…
Schur function expansion in non-Hermitian ensembles and averages of characteristic polynomials
Alexander Serebryakov, Nick Simm
We study -point correlators of characteristic polynomials in non-Hermitian ensembles of random matrices, focusing on the real, complex and quaternion Ginibre ensemb…
On the distribution of maximum value of the characteristic polynomial of GUE random matrices
Yan V. Fyodorov, Nicholas J. Simm
Motivated by recently discovered relations between logarithmically correlated Gaussian processes and characteristic polynomials of large random matrices from the G…