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A gas of Brownian particles whose collective reset is triggered by a first-passage event — the first one to reach a threshold drags the others back. Correlations, stationary density, and extreme-value statistics in this first-passage-coupled setting.
Generalizes the correlated Brownian gas to non-Poissonian resetting protocols — deterministic, power-law, heavy-tailed. The shape of the inter-reset distribution reshapes the correlation structure.
An optical-tweezers experiment that directly measures the emergent correlations predicted for particles in a stochastically switching trap — the first experimental realization of the mechanism.
Dyson Brownian motion of N eigenvalues, reset simultaneously. Stationary density, extreme-eigenvalue statistics, and the crossover between resetting-dominated and repulsion-dominated regimes.
A unified review of the strongly-correlated stochastic systems that motivated the papers above: resetting as a correlation-generating mechanism, exactly solvable gas models, extreme and order statistics in the correlated regime.
A class of strongly correlated systems where the joint distribution factorizes after conditioning on a single random variable — enabling closed-form extreme, order, and sum statistics.
A diffusing particle whose position is rescaled (rather than reset to the origin) at Poisson events. Exact stationary distribution and large-deviation tails, with numerical checks.
Non-interacting particles in a harmonic trap whose stiffness switches stochastically develop non-trivial correlations purely from the shared environmental noise.
For N searchers independently diffusing with resetting, the mean first-passage time to a target has a non-monotonic dependence on N — we characterize the critical number of walkers below which a single fast walker beats the crowd.
N Brownian particles on a line, each simultaneously reset to the origin at rate r. The shared resetting event alone correlates otherwise-independent particles; we derive the resulting order-statistics and spacing distributions in closed form.
Exact results for the mean and full distribution of the number of distinct sites visited by a lattice random walker subject to stochastic resetting.
A cryptography / e-voting paper from an earlier collaboration: analysis of the open vote network protocol along the axes of time, privacy, robustness, and accuracy.