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Abstract. A new fast (real time) sorter of binary numbers by one-dimensional cellular automata is proposed. It sorts a list of n numbers represented by k-bits each in exactly nk steps. This is only on...
The dynamics of well-mixed biological populations is usually studied by mean-field methods and weak-noise expansions. Similar methods have been applied also in spatially extended problems, relying on ...
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...
We investigate intrinsic geometric properties of invariant sets of one-dimensional conformal iterated function systems. We show that for such a set F the fractal cur-vature measures exist, if and only...
For a class of partially hyperbolic Ck, k > 1 diffeomorphisms with circle center leaves we prove existence and finiteness of physical (or Sinai-Ruelle-Bowen) measures, whose basins cover a full Lebesg...
We describe a Bethe ansatz based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density-density correlation fun...
An one dimensional adiabatic model has been proposed for fusion of loosely bound and halo light nuclei with various heavy targets. It is shown that fusion cross sections at near and sub-barrier energ...
This paper focuses on the asymptotic behaviors of the length of the largest $1$-cluster in a finite iid Bernoulli sequence. We first reveal a critical phenomenon on the length and then study its limit...
We study a three-components fermionic gas loaded in a one-dimensional optical trap at half- lling. We nd that the system is fully gapped and may order into 8 possible phases: four 2kF atomic densi...
The temperature dependent dc resistivity of the quasi-one-dimensional organic salts (TMTTF)2X (X = PF6, AsF6, SbF6; BF4, ClO4, ReO4) has been measured in all three crystal directions in order to inve...
We study a system of ultra-cold atoms possessing long range interaction (e.g. dipole-dipole interaction)in a one dimensional optical lattice in the presence of a confining harmonic trap. We have shown...
We investigate the dynamics of a wave packet in a parity-breaking one-dimensional periodic potential slowly varied in time and perturbed by a linear potential. Parity is broken by considering an asym...
We investigate the tunable vibration filtering properties of one-dimensional diatomic granular crystals composed of arrays of stainless steel spheres and cylinders interacting via Hertzian contact. Th...
We calculate the rst order perturbation correction to the ground state energy and chemical potential of a harmonically trapped boson gas with contact interactions about the in nite repulsion Tonks-G...
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...

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