Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Zhang, Lingfu"'
The Airy$_\beta$ line ensemble is a random collection of continuous curves, which should serve as a universal edge scaling limit in problems related to eigenvalues of random matrices and models of 2d statistical mechanics. This line ensemble unifies
Externí odkaz:
http://arxiv.org/abs/2411.10829
Autor:
Huang, Jiaoyang, Zhang, Lingfu
The Airy$_\beta$ line ensemble is an infinite sequence of random curves. It is a natural extension of the Tracy-Widom$_\beta$ distributions, and is expected to be the universal edge scaling limit of a range of models in random matrix theory and stati
Externí odkaz:
http://arxiv.org/abs/2411.10586
Autor:
Chu, Yang, Zhang, Lingfu
We study the process of $2K-B$, where $B$ is a standard one-dimensional Brownian motion and $K$ is its concave majorant. In light of Pitman's $2M-B$ theorem, it was recently conjectured by Ouaki and Pitman \cite{OP} that $2K-B$ has the law of the BES
Externí odkaz:
http://arxiv.org/abs/2410.04051
For models in the KPZ universality class, such as the zero temperature model of planar last passage-percolation (LPP) and the positive temperature model of directed polymers, its upper tail behavior has been a topic of recent interest, with particula
Externí odkaz:
http://arxiv.org/abs/2311.12009
We study uniformly random lozenge tilings of general simply connected polygons. Under a technical assumption that is presumably generic with respect to polygon shapes, we show that the local statistics around a cusp point of the arctic curve converge
Externí odkaz:
http://arxiv.org/abs/2306.01178
Autor:
Ganguly, Shirshendu, Zhang, Lingfu
The directed landscape constructed in (Dauvergne-Ortmann-Virag '18) produces a directed, planar, random geometry, and is believed to be the universal scaling limit of two-dimensional first and last passage percolation models in the Kardar-Parisi-Zhan
Externí odkaz:
http://arxiv.org/abs/2212.09707
Autor:
Zhang, Lingfu
We consider the Metropolis biased card shuffling (also called the multi-species ASEP on a finite interval or the random Metropolis scan). Its convergence to stationary was believed to exhibit a total-variation cutoff, and that was proved a few years
Externí odkaz:
http://arxiv.org/abs/2208.13383
Autor:
Ganguly, Shirshendu, Zhang, Lingfu
The Directed Landscape, a random directed metric on the plane (where the first and the second coordinates are termed spatial and temporal respectively), was constructed in the breakthrough work of Dauvergne, Ortmann, and Vir\'ag, and has since been s
Externí odkaz:
http://arxiv.org/abs/2204.01674
In the slow bond problem the rate of a single edge in the Totally Asymmetric Simple Exclusion Process (TASEP) is reduced from 1 to $1-\varepsilon$ for some small $\varepsilon>0$. Janowsky and Lebowitz posed the well-known question of whether such ver
Externí odkaz:
http://arxiv.org/abs/2109.04563
Autor:
Zhang, Lingfu
We prove a new shift-invariance property of the colored TASEP. From the shift-invariance of the colored stochastic six-vertex model (proved in Borodin-Gorin-Wheeler or Galashin), one can get a shift-invariance property of the colored TASEP at one tim
Externí odkaz:
http://arxiv.org/abs/2107.06350