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 consider a class of second order degenerate kinetic operators$\mathscr{L}$ in the framework of special relativity. We first describe$\mathscr{L}$ as an H\"ormander operator which is invariant with respect toLorentz transformations. Then we prove a Lorentz-invariant Harnack typeinequality, and we derive accurate asymptotic lower bounds for positivesolutions to $\mathscr{L} f = 0$. As a consequence we obtain a lower bound forthe density of the relativistic stochastic process associated to $\mathscr{L}$.

Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator