3 problems

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Conjecture on the boundary contribution to the Jensen–Varadhan functional for open TASEP
Boundary-contribution conjecture. Since the Jensen–Varadhan functional can be interpreted as the bulk limit of the WASEP large-deviation functional, equations (LD boundary 1) and (…
Conjectureopenasymmetric-exclusion-processes large-deviations nonequilibrium-statistical-mechanicsarXiv posted 2 days ago
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Landim–Olla–Volchan conjecture on linear growth of a tagged particle's displacement
Landim–Olla–Volchan conjecture. The displacement $X_t$ grows linearly in $t$ when $p(\cdot)$ is non-nearest-neighbor in dimension $d=1$ , or when $p(\cdot)$ is general in dimension…
Conjectureopenasymmetric-exclusion-processes interacting-particle-systems probabilityarXiv posted 2 days ago
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The $t^{1/3}$ diffusivity growth conjecture for asymmetric exclusion processes
Diffusivity growth conjecture. There is a constant $C$ such that
Conjectureopenasymmetric-exclusion-processes kpz-universality stochastic-processesarXiv posted 2 days ago

Conjecture on the boundary contribution to the Jensen–Varadhan functional for open TASEP