Self-similar deformation of three-wave stimulated Brillouin scattering (SBS) dissipative structures (“Brillouin quasi-solitons”) yields superluminous behaviors. The authors discuss the relevancy of the various velocities involved in the nonlinear propagation of such complex structures, both in the ideal semi-infinite case and in a real-world Brillouin fiber ring laser experiment. Optical and ac...

The aim of this work is to extend the study of super-coinvariant polynomials, introduced in [2, 3], to the case of the generalized symmetric group Gn,m, defined as the wreath product Cm ≀ Sn of the symmetric group by the cyclic group. We define a quasi-symmetrizing action of Gn,m on Q[x1, . . . , xn], analogous to those defined in [12] in the case of Sn. The polynomials invariant under this act...

A low-complexity time-domain channel estimation technique for OFDM systems is proposed. It uses a training symbol (preamble) to estimate the channel impulse response (CIR) via circular cross-correlation. An efficient CIR search window technique is also proposed to optimise the accuracy of synchronisation and channel estimation. Simulation results in quasi-static channels show that the proposed ...

We develop a theory of quasi-Newton and least-change update methods for solving systems of nonlinear equations F (x) = 0. In this theory, no diierentiability conditions are necessary. Instead, we assume that F can be approximated, in a weak sense, by an aane function in a neighborhood of a solution. Using this assumption, we prove local and ideal convergence. Our theory can be applied to B-diie...

A theorem of Giesy and James states that c0 is nitely representable in James' quasire exive Banach space J2. We extend this theorem to the p th quasi-re exive James space Jp for each p ∈ (1,∞). As an application, we obtain a new closed ideal of operators on Jp, namely the closure of the set of operators that factor through the complemented subspace (`∞ ⊕ `∞ ⊕ · · · ⊕ `∞ ⊕ · · · )`p of Jp. 2010 ...

A finite unary algebra of finite type with a constant function 0 that is a one element subalgebra, and whose operations have range {0, 1} is called a {0, 1}-valued unary algebra with 0. Such an algebra has a finite basis for its quasi-equations if and only if the relation defined by the rows of the non-trivial functions in the clone form an order ideal.

We present in this work a generalization of the solution of Gorenstein and Yang for a consistent thermodynamics for systems with a temperature dependent Hamiltonian. We show that there is a large class of solutions, work out three particular ones, and discuss their physical relevance. We apply the particular solutions for an ideal gas of quasi-gluons, and compare the calculation to lattice and ...

For a regular chain R in dimension one, we propose an algorithm which computes the (non-trivial) limit points of the quasi-component of R, that is, the set W (R) \W (R). Our procedure relies on Puiseux series expansions and does not require to compute a system of generators of the saturated ideal of R. We provide experimental results illustrating the benefits of our algorithms.