Aleksandra Korzhenkova

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20212026

most citedThe exploration process of critical Boltzmann planar maps decorated by a triangular

O (n)

loop model

1 citations · 1 across the 4 of their papers we have counts for

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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- $N$ limit of the Spin $O (N)$ model via the Gaussian free field

Juhan Aru, Aleksandra Korzhenkova

We revisit the relation between the spherical model of Berlin-Kac and the spin $O (N)$ model in the limit $N \to \infty$ , and explain how they are connected via the discrete Gaussia…

math.PR2021★ 1 cited

The exploration process of critical Boltzmann planar maps decorated by a triangular $O (n)$ loop model

Aleksandra Korzhenkova

In this paper we investigate pointed $(q, g, n)$ -Boltzmann loop-decorated maps with loops traversing only inner triangular faces. Using the peeling exploration of arXiv:18…

Vector-valued Gaussian free field conditioned to avoid a ball: Entropic repulsion of the norm and Freezing of spins

The Spherical model and the large-N limit of the Spin O(N) model via the Gaussian free field

The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model

The Spherical model and the large- $N$ limit of the Spin $O (N)$ model via the Gaussian free field

The exploration process of critical Boltzmann planar maps decorated by a triangular $O (n)$ loop model