The Kontsevich Matrix Integral: Convergence to the Painlevé Hierarchy and Stokes’ Phenomenon
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-2856-3
Abstract: We show that the Kontsevich integral on $${n\times n}$$n×n matrices ($${n < \infty}$$n read more here.
Keywords: painlev hierarchy; stokes phenomenon; kontsevich matrix; tau function ... See more keywords
Tau Functions as Widom Constants
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3230-9
Abstract: We define a tau function for a generic Riemann–Hilbert problem posed on a union of non-intersecting smooth closed curves with jump matrices analytic in their neighborhood. The tau function depends on parameters of the jumps… read more here.
Keywords: riemann hilbert; tau; tau functions; tau function ... See more keywords
Insights into tau function and dysfunction through single-molecule fluorescence.
Sign Up to like & getrecommendations! Published in 2017 at "Methods in cell biology"
DOI: 10.1016/bs.mcb.2017.06.010
Abstract: Fluorescence correlation spectroscopy and single-molecule Förster resonance energy transfer are powerful and versatile techniques to quantify and describe molecular interactions. They are particularly well suited to the study of dynamic proteins and assemblies, as they… read more here.
Keywords: insights tau; tau function; single molecule; fluorescence ... See more keywords
Weighted Hurwitz numbers and topological recursion: An overview
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5013201
Abstract: Multiparametric families of hypergeometric $\tau$-functions of KP or Toda type serve as generating functions for weighted Hurwitz numbers, providing weighted enumerations of branched covers of the Riemann sphere. A graphical interpretation of the weighting is… read more here.
Keywords: hurwitz numbers; topological recursion; tau function; weighted hurwitz ... See more keywords
Tau Post-translational Modifications: Dynamic Transformers of Tau Function, Degradation, and Aggregation
Sign Up to like & getrecommendations! Published in 2020 at "Frontiers in Neurology"
DOI: 10.3389/fneur.2020.595532
Abstract: Post-translational modifications (PTMs) on tau have long been recognized as affecting protein function and contributing to neurodegeneration. The explosion of information on potential and observed PTMs on tau provides an opportunity to better understand these… read more here.
Keywords: tau; post translational; tau function; ptms ... See more keywords