Outputs (2)

On conditional invariance principle for random walks (1998)
Journal Article
Hryniv, O. (1998). On conditional invariance principle for random walks. Математичні студії. Matematičnì studìï, 9(1), 102-109, 112

On local behaviour of the phase separation line in the 2D Ising model (1998)
Journal Article
Hryniv, O. (1998). On local behaviour of the phase separation line in the 2D Ising model. Probability Theory and Related Fields, 110(1), 91-107. https://doi.org/10.1007/s004400050146

The aim of this note is to discuss some statistical properties of the phase separation line in the 2D low-temperature Ising model. We prove the functional central limit theorem for the probability distributions describing fluctuations of the phase bo... Read More about On local behaviour of the phase separation line in the 2D Ising model.