Avelio Sepúlveda

activity

20172026

most citedCritical Liouville measure as a limit of subcritical measures

35 citations · 103 across the 13 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.PR2020

Quantitative bounds on vortex fluctuations in $2 d$ Coulomb gas and maximum of the integer-valued Gaussian free field

Christophe Garban, Avelio Sepúlveda

In this paper, we study the influence of the vortices on the fluctuations of $2 d$ systems such as the Coulomb gas, the Villain model or the integer-valued Gaussian free field. In t…

math.PR2020

The distance exponent for Liouville first passage percolation is positive

Jian Ding, Ewain Gwynne, Avelio Sepúlveda

Discrete Liouville first passage percolation (LFPP) with parameter $ξ > 0$ is the random metric on a sub-graph of $Z^{2}$ obtained by assigning each vertex $z$ a weight of $e^…

math.PR2020★ 5 cited

Extremal distance and conformal radius of a CLE_4 loop

Juhan Aru, Titus Lupu, Avelio Sepúlveda

Consider CLE $_{4}$ in the unit disk and let $ℓ$ be the loop of the CLE $_{4}$ surrounding the origin. Schramm, Sheffield and Wilson determined the law of the conformal radius seen fr…

Quantitative bounds on vortex fluctuations in 2d Coulomb gas and maximum of the integer-valued Gaussian free field

The distance exponent for Liouville first passage percolation is positive

Extremal distance and conformal radius of a CLE_4 loop

Quantitative bounds on vortex fluctuations in $2 d$ Coulomb gas and maximum of the integer-valued Gaussian free field