English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study the energy landscape near the ground state of a model of a singleparticle in a random potential with trivial topology. More precisely, we findthe large dimensional limit of the Hessian spectrum at the global minimum ofthe Hamiltonian $X_N(x) +\frac\mu2 \|x\|^2, x\in\mathbb{R}^N,$ when $\mu$ isabove the phase transition threshold so that the system has only one criticalpoint. Here $X_N$ is a locally isotropic Gaussian random field. In the regimeof topology trivialization, our results confirm in a strong sense theprediction of Fyodorov and Le Doussal made in 2018 using the replica method.

Hessian spectrum at the global minimum and topology trivialization of locally isotropic Gaussian random fields