A new β-tridiagonal matrix process with OU diagonals and CIR off-diagonals has exact time-dependent eigenvalue distributions; its simultaneous stochastic resetting version has a stationary eigenvalue joint law identical to resetting Dyson Brownian motion for arbitrary β>0.
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cond-mat.stat-mech 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Confinement alters dynamically emergent correlations from common resets in Brownian particles, producing non-monotonic correlations and broad fluctuations in box confinement versus monotonic behavior in harmonic confinement, with three universality classes for general alpha.
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A tridiagonal matrix-valued process with stochastic resetting for arbitrary Dyson index $\beta>0$
A new β-tridiagonal matrix process with OU diagonals and CIR off-diagonals has exact time-dependent eigenvalue distributions; its simultaneous stochastic resetting version has a stationary eigenvalue joint law identical to resetting Dyson Brownian motion for arbitrary β>0.
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Effects of confinement in a Brownian gas with simultaneous stochastic resetting and dynamically emergent correlations
Confinement alters dynamically emergent correlations from common resets in Brownian particles, producing non-monotonic correlations and broad fluctuations in box confinement versus monotonic behavior in harmonic confinement, with three universality classes for general alpha.