81 citations · 673 across the 80 of their papers we have counts for
4 papers · 2 filters
Long range order for random field Ising and Potts models
Jian Ding, Zijie Zhuang
We present a new and simple proof for the classic results of Imbrie (1985) and Bricmont-Kupiainen (1988) that for the random field Ising model in dimension three and above there is…
Uniqueness of the critical and supercritical Liouville quantum gravity metrics
Jian Ding, Ewain Gwynne
We show that for each , there is a unique metric associated with Liouville quantum gravity (LQG) with matter central charge ${\mathbf c}_{\mathr…
Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity
Jian Ding, Ewain Gwynne
Liouville first passage percolation (LFPP) with parameter is the family of random distance functions on the plane obtained by integrating along…
Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric
Jian Ding, Ewain Gwynne
Let be the planar Gaussian free field and let be a supercritical Liouville quantum gravity (LQG) metric associated with . Such metrics arise as subsequential scaling l…