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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...
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...
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...
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...
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 ...
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 ...
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...
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...
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...

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