206 citations
- Centre National de la Recherche ScientifiqueFR1 paper
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- Culham Centre for Fusion EnergyGB1 paper
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- Institut national de recherche en sciences et technologies du numériqueFR1 paper
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4 papers · 1 filter
Improved mixing bounds for the anti-ferromagnetic Potts model on Z^2
Leslie Ann Goldberg, Markus Jalsenius, Russell Martin +1
We consider the anti-ferromagnetic Potts model on the the integer lattice Z^2. The model has two parameters, q, the number of spins, and λ=\exp(-β), where βis ``inverse temperature…
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation
Jingsong He, Yi Cheng, Rudolf A. Roemer
We present a systematic way to construct solutions of the (n=5)-reduction of the BKP and CKP hierarchies from the general tau function of the KP hierarchy. We obtain the one-solito…
Probability densities and preservation of randomness in wave turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
Turbulence closure for the weakly nonlinear stochastic waves requires, besides weak nonlinearity, randomness in both the phases and the amplitudes of the Fourier modes. This random…
Simple Proof for Global Existence of Bohmian Trajectories
Stefan Teufel, Roderich Tumulka
We address the question whether Bohmian trajectories exist for all times. Bohmian trajectories are solutions of an ordinary differential equation involving a wavefunction obeying e…