3 papers
math-ph2026
Local Rank-One Logarithmic Instability for the Mixed Hessian of the Dispersionless Toda -Function
Oleg Alekseev
We study a weighted renormalization of the mixed Hessian of the dispersionless Toda -function associated with polynomial conformal maps. The starting point is an explicit logar…
math-ph2026
Spectral Structure of the Mixed Hessian of the Dispersionless Toda -Function
Oleg Alekseev
We study the mixed Hessian of the dispersionless Toda -function for the one-harmonic -fold symmetric conformal map . This Hessian is the susceptibility mat…
nlin.PS2025
Variational Pattern Selection
Mark Mineev-Weinstein, Oleg Alekseev
We address pattern selection problems in nonlinear interface dynamics by maximizing the entropy of the most probable (classical) scenario associated with the processes. This variat…