Under multicritical conditions the edge scaling limit of correlations for the shifted Schur measure converges to the higher-order Airy kernel determinant, demonstrating a Pfaffian-to-determinantal transition.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
The symmetric Dyson exclusion process exhibits ballistic scaling and non-local hydrodynamics with current j[ρ] = (1/π) sin(πρ) sinh(π H ρ) where H is the Hilbert transform, equivalent to a local two-field system, with exact solutions for block initial states matching simulations.
The number of recursive record-filtering passes on a random permutation equals its longest decreasing subsequence length, whose expectation is asymptotically 2 sqrt(n) with Tracy-Widom fluctuations via Plancherel measure.
citing papers explorer
-
Multicritical Scaling Limit of Shifted Schur Measure
Under multicritical conditions the edge scaling limit of correlations for the shifted Schur measure converges to the higher-order Airy kernel determinant, demonstrating a Pfaffian-to-determinantal transition.
-
Emergent Hydrodynamics in an Exclusion Process with Long-Range Interactions
The symmetric Dyson exclusion process exhibits ballistic scaling and non-local hydrodynamics with current j[ρ] = (1/π) sin(πρ) sinh(π H ρ) where H is the Hilbert transform, equivalent to a local two-field system, with exact solutions for block initial states matching simulations.
-
Recursive Record Filtering and Longest Decreasing Subsequences
The number of recursive record-filtering passes on a random permutation equals its longest decreasing subsequence length, whose expectation is asymptotically 2 sqrt(n) with Tracy-Widom fluctuations via Plancherel measure.