Tightness of Bernoulli Gibbsian line ensembles
- E. Dimitrov, X. Fang, Weitao Zhu
- MathematicsElectronic Journal of Probability
- 9 November 2020
A Bernoulli Gibbsian line ensemble $\mathfrak{L} = (L_1, \dots, L_N)$ is the law of the trajectories of $N-1$ independent Bernoulli random walkers $L_1, \dots, L_{N-1}$ with possibly random initial…
Tightness of discrete Gibbsian line ensembles
- Christian Serio
- Mathematics
- 9 December 2021
A discrete Gibbsian line ensemble $\mathfrak{L} = (L_1,\dots,L_N)$ consists of $N$ independent random walks on the integers conditioned not to cross one another, i.e., $L_1 \geq \cdots \geq L_N$. In…