The full persistence distribution in 1D Ising coarsening equals a Pfaffian Fredholm determinant of the sech kernel and is controlled by a Painlevé VI equation that is the mean curvature of a Bonnet surface.
M., Scoufis A.,Painlev´ e classification of a class of differential equations of the second order and second degree, Stud
1 Pith paper cite this work, alongside 140 external citations. Polarity classification is still indexing.
1
Pith paper citing it
140
external citations · OpenAlex
fields
math-ph 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlev\'e VI distribution
The full persistence distribution in 1D Ising coarsening equals a Pfaffian Fredholm determinant of the sech kernel and is controlled by a Painlevé VI equation that is the mean curvature of a Bonnet surface.