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Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison
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 theExpand
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A phase transition for repeated averages.
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 theExpand
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Optimal Exponent for Coalescence of Finite Geodesics in Exponential Last Passage Percolation.
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 −
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 explicitExpand
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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 byExpand
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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 inverseExpand
Disjoint optimizers and the directed landscape
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 toExpand
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Pathological analysis of the superior mesenteric artery boundary in preoperative computed tomography of resectable pancreatic head adenocarcinoma.
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 computedExpand