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

We explore the effects of interleaved shuffling on the rate of convergence for the discrete heat equation with Dirichlet boundary conditions. We derive a closed form for the expected value of the shuffled discrete heat equation and establish bounds on its rate of convergence. In particular for any connected region D ⊂ Z with volume |D| and a non-negative initial state h0 ∈ R|D|, there is an upper bound on the spectral radius associated with the shuffled discrete heat equation that grows on the order of 1 − Ω(1/|D|). An analogous lower bound for the standard discrete heat equation is also derived which grows on the order of 1−O(1/|D|).

Bounds on Rate of Convergence for the Shuffled Discrete Heat Equation in Zd