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Showing 2014 · math-phShow all
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math-ph2014★ 2 cited
Semi-classical analysis of non self-adjoint transfer matrices in statistical mechanics. I
Margherita Disertori, Sasha Sodin
We propose a way to study one-dimensional statistical mechanics models with complex-valued action using transfer operators. The argument consists of two steps. First, the contour o…
math-ph2014★ 22 cited
The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit
C. Cacciapuoti, D. Finco, D. Noja +1
In the present paper we study the following scaled nonlinear Schrödinger equation (NLS) in one space dimension: \[ i\frac{d}{dt} ψ^{\varepsilon}(t) =-Δψ^{\varepsilon}(t) + \frac{1}…