(5) Therefore, all the quantities of interest for the search process can be described via the Laplace transform of the probability ﬂux into the target, ˜J0(x0,s )

we directly have that ˜f0(x0,s ) = ˜J0(x0,s ), from where we obtain that T0(x0) := E[T0(x0)] = − ∂ ∂s ˜J0(x0,s ) ⏐ ⏐ ⏐ s=0

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Resetting-induced instability in queues fed by a search process in an interval

cond-mat.stat-mech · 2026-02-04 · unverdicted · novelty 5.0

Stochastic resetting in bounded search processes that feed queues creates a threshold rate beyond which it expands rather than shrinks steady-state convergence regions, with the threshold growing exponentially in the number of servers.

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Resetting-induced instability in queues fed by a search process in an interval cond-mat.stat-mech · 2026-02-04 · unverdicted · none · ref 2
Stochastic resetting in bounded search processes that feed queues creates a threshold rate beyond which it expands rather than shrinks steady-state convergence regions, with the threshold growing exponentially in the number of servers.

(5) Therefore, all the quantities of interest for the search process can be described via the Laplace transform of the probability ﬂux into the target, ˜J0(x0,s )

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