Reconstructing potentials from zeros of one eigenfunction

Reconstructing large running-index inflaton potentials

Chiyi Chen, Bo Feng, Xiulian Wang, and Zhaoyu Yang Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, PR China National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, PR China Institute of High Energy Physics, Chinese Academy of Science, P.O. Box 918-4, Beijing 100039, P. R. China and Institute of Theoretical Physics, Chinese Academy of Sc...

Potentials for One - Dimensional

We discuss restrictions of two-dimensional translation-invariant Gibbs measures to a one-dimensional layer. We prove that there exists a translation invariant a.s. absolutely convergent potential making these restrictions into weakly Gibbsian measures. We discuss the existence of the thermodynamic functions for this potential and the variational principle for the weakly Gibbsian measures.

Reconstructing the potentials for the quintessence and tachyon dark energy, from the holographic principle

We propose an holographic quintessence and tachyon models of dark energy. The correspondence between the quintessence and tachyon energy densities with the holographic density, allows the reconstruction of the potentials and the dynamics for the quintessence and tachyon fields, in flat FRW background. The proposed infrared cut-off for the holographic energy density works for two cases of the co...

Perturbation of eigenfunction expansions.

Reconstructing Climate from Glaciers

Glaciers offer the potential to reconstruct past climate over timescales from decades to millennia. They are found on nearly every continent, and at the Last Glacial Maximum, glaciers were larger in all regions on Earth. The physics of glacier-climate interaction are relatively well understood, and glacier models can be used to reconstruct past climate from geological evidence of past glacier e...