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

Let $f_t:[0,1] \to [0,1]$ be a family of piecewise expanding unimodal mapswith a common critical point that is dense for almost all $t \in [a,b]$. If$\mu_t$ is the corresponding SRB measure for $f_t$, we study the regularity of$\Gamma(t)=\int \phi d\mu_t$ when assuming that the family is transversal tothe topological classes of these maps, more precisely, we prove that if$J_t(c)=\sum_{k=0}^{\infty} \frac{v_t(f_t^k(c))}{Df_t^k(f_t(c))} \neq 0$ forall $t$, where $v_t(x)=\partial_s f_s(x)|_{s=t}$, then $\Gamma(t)$ is notLipschitz for almost all $t\in [a,b]$. Furthermore, we give the exact modulusof continuity of $\Gamma(t)$.

Modulus of continuity of averages of SRB measures for a transversal family of piecewise expanding unimodal maps