We analyze the free energy and overlaps in 2-spin spherical Sherrington Kirkpatrick spin glass model with an external field for purpose of understanding transition between this one without field. compute limiting values fluctuations as well three types setting where strength goes to zero dimension variable grows. In particular, we consider field, ground state, a replica. Our methods involve con...

It was shown several years ago that dark matter halo outskirts are characterized by very steep density profiles in a small radial range. This feature has been interpreted as pile-up of different particle orbits at similar location, namely, splashback material half an orbit after collapse. Adhikari et al. (2014) obtained the location radius through simple model calculating shell trajectory secon...