55 citations · 376 across the 28 of their papers we have counts for
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math-ph2011★ 23 cited
Riemann-Hilbert approach to multi-time processes; the Airy and the Pearcey case
M. Bertola, M. Cafasso
We prove that matrix Fredholm determinants related to multi-time processes can be expressed in terms of determinants of integrable kernels à la Its-Izergin-Korepin-Slavnov (IIKS) a…
math-ph2011★ 17 cited
Nonlinear PDEs for gap probabilities in random matrices and KP theory
M. Adler, M. Cafasso, P. van Moerbeke
Airy and Pearcey-like kernels and generalizations arising in random matrix theory are expressed as double integrals of ratios of exponentials, possibly multiplied with a rational f…
math-ph2011★ 17 cited
Fredholm determinants and pole-free solutions to the noncommutative Painleve' II equation
M. Bertola, M. Cafasso
We extend the formalism of integrable operators a' la Its-Izergin-Korepin-Slavnov to matrix-valued convolution operators on a semi-infinite interval and to matrix integral operator…