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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The continuous random energy model (CREM) was introduced by Bovier andKurkova in 2004 which can be viewed as a generalization of Derrida'sgeneralized random energy model. Among other things, their work indicates thatthere exists a critical point $\beta_c$ such that the partition functionexhibits a phase transition. The present work focuses on the high temperatureregime where $\beta<\beta_c$. We show that for all $\beta<\beta_c$ and for all$s>0$, the negative $s$ moment of the CREM partition function is comparablewith the expectation of the CREM partition function to the power of $-s$, up toconstants that are independent of $N$.

Negative moments of the CREM partition function in the high temperature regime