Correlation length of two-dimensional random field Ising model via greedy lattice animal,ĭuke Math Journal, published online 2023.Probability Theory and Related Fields, published online 2023. The planted matching problem: Sharp threshold and infinite-order phase transition (with.Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric.Probability Theory and Related Fields, published online April 2022. A New Correlation Inequality for Ising Models with External Fields.Gwynne ), Science China Mathematics, 66 (2023), no. Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity.

$ju lattice math$

The critical Liouville quantum gravity metric induces the Euclidean topology.Introduction to the Liouville quantum gravity metric.Gwynne ), Proceedings of London Mathematical Society, (3) 126 (2023), no.

$ju lattice math$

Uniqueness of the critical and supercritical Liouville quantum gravity metrics.

Zhuang), accepted by Communications on Pure and Applied Mathematics.

Long range order for random field Ising and Potts models.

Du), IEEE Transactions on Information Theory, published online 2023.

Detection threshold for correlated Erdős-Rényi graphs via densest subgraphs.

Liu), Probability Theory and Related Fields, published online April 2023.

Shotgun assembly threshold for lattice labeling model.

Matching recovery threshold for correlated random graphs.

Shotgun threshold for sparse Erdős-Rényi graphs.

Long range order for three-dimensional random field Ising model throughout the entire low temperature regime.

A polynomial-time approximation scheme for the maximal overlap of two independent Erdős-Rényi graphs.

A polynomial time iterative algorithm for matching Gaussian matrices with non-vanishing correlation.

On the prevalence of the periodicity of maximizing measures.

A polynomial-time iterative algorithm for random graph matching with non-vanishing correlation.

Random Schrodinger operators, network recovery problems, etc. Random constraint satisfaction problems, random planar geometry, spin models, My research interests are probability theory with focus on interactions with statistical physics, theory ofĬomputer science and statistical inference: random walks, Gaussian processes, I am a member of See conferences for group activities, including an International Conference on Probability Theory and Stochastic Analysis in celebration of 110 anniversary of Mathematical Sciences at Peking University. My email address is: d i n g j i a n -at- m a t h -dot- p k u -dot- e d u - dot - c n I am a professor at School of Mathematical Sciences, Peking University. Jian Ding's Home Page Jian Ding's Home Page (丁剑的个人主页)

Ju lattice math