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cond-mat.stat-mech2026
Bayesian Tracking of a Diffusing Target in Two and Three Dimensions
Ewan McCulloch, Adam Nahum
We study Bayesian tracking of a diffusing target monitored by a noisy distributed sensor array. Building on an earlier mapping to KPZ growth with a moving defect (or an equivalent…
cond-mat.stat-mech2026
Bayesian phase transition for the critical Ising model: Enlarged replica symmetry in the epsilon expansion and in 2D
Kay Joerg Wiese, Alapan Das, Adam Nahum
A process that images or measures bond energies in the critical Ising model can be in distinct measurement ``phases'', depending on the precision of measurement. We study the trans…