Dimitris Lygkonis

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20172022

most citedMoments of the 2d directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem

9 citations · 16 across the 3 of their papers we have counts for

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math.PR2022

A multivariate extension of the Erdös-Taylor theorem

Dimitris Lygkonis, Nikos Zygouras

The Erdös-Taylor theorem [Acta Math. Acad. Sci. Hungar, 1960] states that if $L_{N}$ is the local time at zero, up to time $2 N$ , of a two-dimensional simple, symmetric rando…

math.PR2021★ 9 cited

Moments of the 2d directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem

Dimitris Lygkonis, Nikos Zygouras

We compute the limit of the moments of the partition function $Z_{N}^{β_{N}}$ of the directed polymer in dimension $d = 2$ in the subcritical regime, i.e. when the inverse temperature…

math.PR2020★ 7 cited

Edwards-Wilkinson fluctuations for the directed polymer in the full $L^{2}$ -regime for dimensions $d \geq 3$

Dimitris Lygkonis, Nikos Zygouras

We prove that in the full $L^{2}$ -regime the partition function of the directed polymer model in dimensions $d \geq 3$ , if centered, scaled and averaged with respect to a test functio…

A multivariate extension of the Erdös-Taylor theorem

Moments of the 2d directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem

Edwards-Wilkinson fluctuations for the directed polymer in the full L2-regime for dimensions d≥3

Edwards-Wilkinson fluctuations for the directed polymer in the full $L^{2}$ -regime for dimensions $d \geq 3$