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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The purpose of this paper is two-fold. First is to extend the notions of ann-dimensional semimartingale and its stochastic integral to a piecewisesemimartingale of stochastic dimension. The properties of the former carry overlargely intact to the latter, avoiding some of the pitfalls ofinfinite-dimensional stochastic integration. Second is to extend twofundamental theorems of asset pricing (FTAPs): the equivalence of no free lunchwith vanishing risk to the existence of an equivalent sigma-martingale measurefor the price process, and the equivalence of no arbitrage of the first kind tothe existence of an equivalent local martingale deflator for the set ofnonnegative wealth processes.

Fundamental theorems of asset pricing for piecewise semimartingales of stochastic dimension