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

Consider the symmetric exclusion process evolving on an interval and weaklyinteracting at the end-points with reservoirs. Denote by $I_{[0,T]} (\cdot)$its dynamical large deviations functional and by $V(\cdot)$ the associatedquasi-potential, defined as $V(\gamma) = \inf_{T>0} \inf_u I_{[0,T]} (u)$,where the infimum is carried over all trajectories $u$ such that $u(0) =\bar\rho$, $u(T) = \gamma$, and $\bar\rho$ is the stationary density profile.We derive the partial differential equation which describes the evolution ofthe optimal trajectory, and deduce from this result the formula obtained byDerrida, Hirschberg and Sadhu \cite{DHS2021} for the quasi-potential throughthe representation of the steady state as a product of matrices.

Steady state large deviations for one-dimensional, symmetric exclusion processes in weak contact with reservoirs