Jessica Jay

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20232025

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math.PR2025

Local convergence in $t$ -PNG

Márton Balázs, Ruby Bestwick, Artem Borisov +2

We prove local convergence of the $t$ -PNG model with zero boundary to the stationary $t$ -PNG model, confirming a recent conjecture of Drillick and Lin (2024). The stationary $t$ -PN…

math.PR2024

Combinatorial identities from an inhomogeneous Ising chain

Jessica Jay, Benjamin Lees

We study a family of inhomogeneous Ising chain models along with an equivalent family of nearest neighbour particle systems. By the correspondence between the two families we prove…

math.PR2023

Second Class Particle Behaviour in Blocking ASEP

Daniel Adams, Márton Balázs, Jessica Jay

We consider any fixed $d \in Z_{> 0}$ number of second class particles in the asymmetric simple exclusion process (ASEP), constructed via a basic coupling of two ASEPs. We gi…

Local convergence in t-PNG

Combinatorial identities from an inhomogeneous Ising chain

Second Class Particle Behaviour in Blocking ASEP

Local convergence in $t$ -PNG