Brownian motion in trapping enclosures: steep potential wells, bistable wells and false bistability of induced Feynman-Kac (well) potentials

We investigate signatures of convergence for a sequence of diffusion processes on a line, in conservative force fields stemming from superharmonic potentials U(x) ∼ x m , m = 2n ⩾ 2. This is paralleled by a transformation of each mth diffusion generator L = DΔ + b(x)∇, and likewise the related Fokke...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2020-08, Vol.53 (31), p.315001
Hauptverfasser:	Garbaczewski, Piotr, Żaba, Mariusz
Format:	Artikel
Sprache:	eng
Schlagworte:	bistable wells boundary data Brownian motion Feynman-Kac potentials steep wells trapping enclosures
Online-Zugang:	Volltext
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