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 develop the study of a particular class of biorthogonal measures,encompassing at the same time several random matrix models and partitionfunctions of polymers. This general framework allows us to characterize thepartition functions of the Log Gamma polymer and the mixed polymer in terms ofexplicit biorthogonal measures, as it was previously done for the homogeneousO'Connell-Yor polymer by Imamura and Sasamoto. In addition, we show that thebiorthogonal measures associated to these three polymer models (Log Gamma,O'Connell-Yor, and mixed polymer) converge to random matrix eigenvaluedistributions in small temperature limits. We also clarify the connectionbetween different Fredholm determinant representations and explain how ourresults might be useful for asymptotic analysis and large deviation estimates.

Biorthogonal measures, polymer partition functions, and random matrices