On two-point expansion

Two-point density correlations of quasicondensates in free expansion

S. Manz,1 R. Bücker,1 T. Betz,1 Ch. Koller,1 S. Hofferberth,2 I. E. Mazets,1,3,4 A. Imambekov,5 E. Demler,2 A. Perrin,1,4 J. Schmiedmayer,1 and T. Schumm1,4 1Institute of Atomic and Subatomic Physics, TU-Wien, A-1020 Vienna, Austria 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Ioffe Physico-Technical Institute, RU-194021 St.Petersburg, Russia 4Wolfgang Pauli ...

Expansion schemes for gravitational clustering: computing two-point and three-point functions

Aims. We describe various expansion schemes that can be used to study gravitational clustering. Obtained from the equations of motion or their path-integral formulation, they provide several perturbative expansions that are organized in a different fashion or involve different partial resummations. We focus on the two-point and three-point correlation functions, but these methods also apply to ...

On the Fourier expansion of Bloch-Okounkov n-point function

In this paper, we study algebraic and analytic properties of Fourier coefficients, expressed as q-series, of the so-called Bloch-Okounkov n-point function. We prove several results about these series and explain how they relate to Rogers’ false theta function. Then we obtain their full asymptotics, as τ → 0, and use this result to derive asymptotic properties of the coefficients in the q-expans...

Two Results about Fixed Point of Multifunctions

Functional Compression-expansion Fixed Point Theorem

This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude with an extension to multivalued maps.