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Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison

- Riddhipratim Basu, S. Ganguly, L. Zhang
- Mathematics, Physics
- 10 December 2019

We consider directed last passage percolation on $\mathbb{Z}^2$ with exponential passage times on the vertices. A topic of great interest is the coupling structure of the weights of geodesics as the… Expand

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A phase transition for repeated averages.

- S. Chatterjee, P. Diaconis, Allan Sly, L. Zhang
- Mathematics
- 26 May 2020

Let $x_1,\ldots,x_n$ be a fixed sequence of real numbers. At each stage, pick two indices $I$ and $J$ uniformly at random and replace $x_I$, $x_J$ by $(x_I+x_J)/2$, $(x_I+x_J)/2$. Clearly all the… Expand

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Optimal Exponent for Coalescence of Finite Geodesics in Exponential Last Passage Percolation.

- L. Zhang
- Mathematics
- 16 December 2019

In this note, we study the model of directed last passage percolation on $\mathbb{Z}^2$, with i.i.d. exponential weight. We consider the maximum paths from vertices $\left(0,\left\lfloor k^{2/3}… Expand

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Observation of the decay B ¯ s 0 → χ c 2 K + K −

- R. Aaij, W. Kucewicz, +827 authors L. Garrido
- Physics
- 2018

The Bs → χc2KK decay mode is observed and its branching fraction relative to the corresponding χc1 decay mode, in a ±15 MeV/c2 window around the φ mass, is found to be B(Bs → χc2KK) B(Bs → χc1K+K−) =… Expand

PR ] 2 6 A ug 2 01 9 Stationary Distributions for the Voter Model in d ≥ 3 are Bernoulli Shifts

For the Voter Model on Z, d ≥ 3, we show that the (extremal) stationary distributions are Bernoulli shifts, and answer an open question asked by Steif and Tykesson in [ST17]. The proof is by explicit… Expand

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Stationary Distributions for the Voter Model in $d\geq 3$ are Bernoulli Shifts

For the Voter Model on $\mathbb{Z}^d$, $d\geq 3$, we show that the (extremal) stationary distributions are Bernoulli shifts, and answer an open question asked by Steif and Tykesson. The proof is by… Expand

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Ising model on trees and factors of IID.

We study the ferromagnetic Ising model on the infinite $d$-regular tree under the free boundary condition. This model is known to be a factor of IID in the uniqueness regime, when the inverse… Expand

Disjoint optimizers and the directed landscape

- Duncan Dauvergne, L. Zhang
- Mathematics, Physics
- 1 February 2021

We study maximal length collections of disjoint paths, or `disjoint optimizers', in the directed landscape. We show that disjoint optimizers always exist, and that their lengths can be used to… Expand

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Pathological analysis of the superior mesenteric artery boundary in preoperative computed tomography of resectable pancreatic head adenocarcinoma.

- Meng Lu, Chun-hui Yuan, +5 authors D. Xiu
- Medicine
- Oncology letters
- 1 June 2019

The aim of the present study was to evaluate the biological and prognostic implications of the superior mesenteric artery (SMA) boundary on preoperative abdominal contrast-enhanced computed… Expand