103 citations · 156 across the 6 of their papers we have counts for
8 papers
Complexity of local maxima of given radial derivative for mixed -spin Hamiltonians
David Belius, Marius A. Schmidt
We study the number of local maxima with given radial derivative of spherical mixed -spin models and prove that the second moment matches the square of the first moment on expon…
Phase diagram for the tap energy of the -spin spherical mean field spin glass model
David Belius, Marius A. Schmidt
We solve the Thouless-Anderson-Palmer (TAP) variational principle associated to the spherical pure -spin mean field spin glass Hamiltonian and present a detailed phase diagram.…
Triviality of the geometry of mixed -spin spherical Hamiltonians with external field
David Belius, Jiří Černý, Shuta Nakajima +1
We study isotropic Gaussian random fields on the high-dimensional sphere with an added deterministic linear term, also known as mixed p-spin Hamiltonians with external field. We pr…
The TAP-Plefka variational principle for the spherical SK model
David Belius, Nicola Kistler
We reinterpret the Thouless-Anderson-Palmer approach to mean field spin glass models as a variational principle in the spirit of the Gibbs variational principle and the Bragg-Willi…
Maximum of the Riemann zeta function on a short interval of the critical line
Louis-Pierre Arguin, David Belius, Paul Bourgade +2
We prove the leading order of a conjecture by Fyodorov, Hiary and Keating, about the maximum of the Riemann zeta function on random intervals along the critical line. More precisel…
Maximum of the characteristic polynomial of random unitary matrices
Louis-Pierre Arguin, David Belius, Paul Bourgade
It was recently conjectured by Fyodorov, Hiary and Keating that the maximum of the characteristic polynomial on the unit circle of a random unitary matrix sampled from…