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BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
We study stationary quantum fluctuations around a mean field limit in trapped, dilute atomic gases of repulsively interacting bosons at zero temperature. Our goal is to describe quantum-mechanically t...
Doubly-Weighted Pseudo-Almost Periodic Functions
pseudo almost periodic weight doubly-weighted pseudo-almost periodic
2011/1/21
We introduce and study a new concept called doubly-weighted pseudo-almost periodicity, which generalizes the notion of weighted pseudo-almost periodicity due to Diagana. Properties of such a new conce...
On Leray's problem for almost periodic flows
Almost periodic flux channel flow Leray’s problem
2011/1/19
We prove existence and uniqueness for fully-developed (Poiseuille-type) flows in semiinfinite
cylinders, in the setting of (time) almost-periodic functions. In the case of Stepanov almostperiodic fun...
Using the notion of complete compactness introduced by H. Saar, we define completely almost periodic functionals on completely contractive Banach algebras. We show that, if $(M,\Gamma)$ is a Hopf--vo...
On ASEP with Periodic Step Bernoulli Initial Condition
ASEP Periodic Step Bernoulli Initial Condition
2010/12/3
In the asymmetric simple exclusion process (ASEP) on the integers Z a particle waits exponential time, then moves to the right with probability p if that site is unoccupied (or else stays put) or to t...
Correlation function for a periodic box-ball system
Correlation function periodic box-ball system
2010/4/8
We investigate correlation functions in a periodic box-ball system. For the two point functions of short distance, we give explicit formulae obtained by combinatorial methods. We give expressions for ...
Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation
Periodic orbit analysis blowout bifurcation unstable dimension variability
2010/4/7
Many chaotic dynamical systems of physical interest present a strong form of nonhyperbolicity called unstable dimension variability (UDV), for which the chaotic invariant set contains periodic orbits ...
Homogenization of Periodic Finsler Metrics
Homogenization $\Gamma$-convergence BV-functions
2009/1/22
We prove an homogenization result in $W^{1,1}$ and in $BV$ for a sequence $(F_\varepsilon)$ of functionals of the form
F_\varepsilon (u) = \int_0^1 f(\frac{u}{\varepsilon}, u^\prime) dt
where $\v...
Pseudo almost periodic solutions of a singularly perturbed differential equation with piecewise constant argument
Singular perturbation Pseudo-almost periodic solutions Pseudo-almost periodic sequences Piecewise constant argument
2007/12/11
Under suitable assumptions, the existence and the uniqueness of the pseudo-almost periodic solution for a singularly perturbed differential equation with piecewise constant argument are obtained. In a...
T=0 Partition Functions for Potts Antiferromagnets on Square Lattice Strips with (Twisted) Periodic Boundary Conditions
Functions Potts Antiferromagnets Periodic Boundary Conditions
2010/11/2
We present exact calculations of the zero-temperature partition function for the q-state Potts antiferromagnet (equivalently, the chromatic polynomial) for two families of arbitrarily long strip graph...