Scale invariance plays an important role in unitary Fermi gases. Discrete scaling symmetry manifests itself in quantum few-body systems such as the Efimov effect. Here, we report on the theoreticalâ€¦ (More)

It is known from the solution of the two-body problem that an anisotropic dipolar interaction can give rise to s-wave scattering resonances, which are named dipolar interaction induced resonancesâ€¦ (More)

We investigate Riemannâ€“Liouville processes RH ,H > 0, and fractional Brownian motions BH , 0 < H < 1, and study their small deviation properties in the spaces Lq([0, 1], Î¼). Of special interest areâ€¦ (More)

In this Letter we show that the vortex lattice structure in the Bose-Fermi superfluid mixture can undergo a sequence of structure transitions when the Fermi superfluid is tuned from the BCS regime toâ€¦ (More)

We consider a class of biased random walks on infinite graphs and present several general results on the spectral radius of biased random walk. AMS 2010 subject classifications. Primary 60J10, 60G50,â€¦ (More)

In this Letter we address the issue of how synthetic spin-orbit (SO) coupling can strongly affect three-body physics in ultracold atomic gases. We consider a system which consists of three fermionicâ€¦ (More)