3 papers
math-ph2026
Irregular SLE(4) martingales and isomonodromic deformations
Harini Desiraju, Aleksandra Korzhenkova, Eveliina Peltola
We consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the si…
math.PR2025
Vector-valued Gaussian free field conditioned to avoid a ball: Entropic repulsion of the norm and Freezing of spins
Aleksandra Korzhenkova, Avelio Sepúlveda
We study the laws of the two-dimensional vector-valued Dirichlet Gaussian free field and its massive lattice counterpart, conditioned to avoid a ball at every site of a subdomain.…
math.PR2024
The Spherical model and the large- limit of the Spin model via the Gaussian free field
Juhan Aru, Aleksandra Korzhenkova
We revisit the relation between the spherical model of Berlin-Kac and the spin model in the limit , and explain how they are connected via the discrete Gaussia…