Dmitrii Krachun

most citedExistence of a tricritical point for the Blume-Capel model on

Z^{d}

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math.PR2023

Quantitative sub-ballisticity of self-avoiding walk on the hexagonal lattice

Dmitrii Krachun, Christoforos Panagiotis

We prove quantitative sub-ballisticity for the self-avoiding walk on the hexagonal lattice. Namely, we show that with high probability a self-avoiding walk of length $n$ does not e…

math.PR2023

Scaling limit of the cluster size distribution for the random current measure on the complete graph

Dmitrii Krachun, Christoforos Panagiotis, Romain Panis

We study the percolation configuration arising from the random current representation of the near-critical Ising model on the complete graph. We compute the scaling limit of the cl…

math.PR2022★ 3 cited

Existence of a tricritical point for the Blume-Capel model on $Z^{d}$

Trishen S. Gunaratnam, Dmitrii Krachun, Christoforos Panagiotis

We prove the existence of a tricritical point for the Blume-Capel model on $Z^{d}$ for every $d \geq 2$ . The proof in $d \geq 3$ relies on a novel combinatorial mapping to an…

Quantitative sub-ballisticity of self-avoiding walk on the hexagonal lattice

Scaling limit of the cluster size distribution for the random current measure on the complete graph

Existence of a tricritical point for the Blume-Capel model on Zd

Existence of a tricritical point for the Blume-Capel model on $Z^{d}$