We consider the continuous time symmetric random walk with a slow bond on ℤ, which rates are equal to 1/2 for all bonds, except for the bond of vertices {−1, 0}, which associated rate is given by αn−β ...

The study of stochastic differential equations (SDEs) has long been a cornerstone in the modelling of complex systems affected by randomness. In recent years, the extension to G-Brownian motion has ...

The classical inverse first passage time problem asks whether, for a Brownian motion (Bt)t≥0 and a positive random variable ξ, there exists a barrier b : ℝ₊ → ℝ such that ℙ{Bs > b(s), 0 ≤ s ≤ t} = ℙ{ξ ...

Arkansas physicists have successfully developed a circuit capable of capturing graphene’s thermal motion and converting it into an electrical current. This lab curiousity only needs to be millions of ...

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