Exponential mixing of 2D stochastic Ginzburg–Landau–Newell equations driven by degenerate noise
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DOI: 10.1142/s0219493720500045
Abstract: The current paper is devoted to stochastic Ginzburg–Landau–Newell equation with degenerate stochastic forcing. First, we establish a type of gradient inequality, which is also essential to proving asymptotic strong Feller property. Then, we prove that… read more here.
Keywords: stochastic ginzburg; exponential mixing; landau newell; ginzburg landau ... See more keywords
Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds
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DOI: 10.1215/00127094-2021-0051
Abstract: Let $\mathcal{M}=\Gamma\backslash\mathbb{H}^{d+1}$ be a geometrically finite hyperbolic manifold with critical exponent exceeding $d/2$. We obtain a precise asymptotic expansion of the matrix coefficients for the geodesic flow in $L^2(\mathrm{T}^1(\mathcal{M}))$, with exponential error term essentially as… read more here.
Keywords: geometrically finite; finite hyperbolic; exponential mixing; spectral gap ... See more keywords