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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The escape rate of a 2-dimensional Brownian motion conditioned to be transient is determined to be      P { X ( t ) &gt; f ( t ) P\{ X(t) &gt; f(t)       i.o. as      t ↑  ∞  } = 0 t \uparrow \infty \} = 0       or 1 according as      ∑  n = 1 ∞  e −  n log ⁡  f ( e e n ) &gt; \sum \nolimits _{n = 1}^\infty {{e^{ - n}}\log f({e^{{e^n}}}) &gt; }       or      = ∞  = \infty      . The result is used to construct a complex-valued Zygmund function—as a lacunary series—whose graph does not have      σ  \sigma      -finite linear Hausdorff measure. This contrasts the result of Mauldin and Williams that the graphs of all real-valued Zygmund functions have      σ  \sigma      -finite linear Hausdorff measure.

Escape rate for 2-dimensional Brownian motion conditioned to be transient with application to Zygmund functions