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Splitting broad beams into arrays of dissipative spatial solitons by material and virtual gratings
Splitting broad beams arrays dissipative spatial solitons material virtual gratings
2010/11/10
We elaborate two generic methods for producing two-dimensional (2D) spatial soliton arrays (SSAs) in the framework of the cubic-quintic (CQ) complex Ginzburg-Landau (CGL) model. The first approach de...
Overcoming Problems in the Measurement of Biological Complexity
Overcoming Problems Measurement Biological Complexity
2010/11/10
In a genetic algorithm, fluctuations of the entropy of a genome over time are interpreted as fluctuations of the information that the genome's organism is storing about its environment, being this ref...
Control of large 1D networks of double integrator agents: role of heterogeneity and asymmetry on stability margin
Control large 1D networks double integrator agents role heterogeneity asymmetry on stability margin
2010/11/10
We consider the distributed control of a network of heterogeneous agents with double integrator dynamics to maintain a rigid formation in 1D Euclidean space. The control signal at a vehicle is allowed...
Models of diffusion driven pattern formation that rely on the Turing mechanism are utilized in many areas of science. However, many such models suffer from the defect of requiring fine tuning of param...
Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system
error the Reissner-Mindlin system
2010/11/9
We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div) conforming finite elements and equilibrated f...
Wiener-Hopf factorization and distribution of extrema for a family of Lévy processes
Wiener-Hopf factorization distribution extrema
2010/11/12
In this paper we introduce a ten-parameter family of L\'{e}vy processes for which we obtain Wiener-Hopf factors and distribution of the supremum process in semi-explicit form. This family allows an a...
Negative translations not intuitionistically equivalent to the usual ones
Negative translations intuitionistically the usual ones
2010/11/8
We refute the conjecture that all negative translations are intuitionistically equivalent by giving two counterexamples. Then we characterise the negative translations intuitionistically equivalent to...
Let $M^7$ be a smooth manifold equipped with a $G_2$-structure $\phi$, and $Y^3$ be an closed compact $\phi$-associative submanifold. In \cite{McL}, R. McLean proved that the moduli space $\bm_{Y,\ph...
We introduce the notions of the caustic-equivalence and the weak caustic-equivalence relations of reticular Lagrangian maps in order to give a generic classification of caustics on a corner. We give t...
Correlation Widths in Quantum--Chaotic Scattering
Correlation Widths Quantum--Chaotic Scattering
2010/11/10
An important parameter to characterize the scattering matrix S for quantum-chaotic scattering is the width Gamma_{corr} of the S-matrix autocorrelation function. We show that the "Weisskopf estimate"...
Snaking and isolas of localised states in bistable discrete lattices
homoclinic snaking dissipative soliton coupled cells
2010/11/10
We consider localised states in a discrete bistable Allen-Cahn equation. This model equation combines bistability and local cell-to-cell coupling in the simplest possible way. The existence of stable ...
On the last Hilbert-Samuel coefficient of isolated singularities
the last Hilbert-Samuel coefficient isolated singularities
2010/11/9
In 1978 Lipman presented a proof of the existence of a desingularization for any excellent surface. The strategy of Lipman's proof is based on the finiteness of the number H(R) defined as the supreme...
Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates
Two-dimensional Larmor Radius approximation canonical gyrokinetic coordinates
2010/11/9
In this paper, we present some new results about the approximation of the Vlasov-Poisson system with a strong external magnetic field by the 2D finite Larmor radius model. The proofs within the prese...
In the local, unramified case the determinantal functions associated to the group-ring of a finite group satisfy Galois descent. This note examines the obstructions to Galois determinantal descent in ...
Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models
Multispecies Statistical Mechanics Mean-Field Models
2010/11/19
We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to ha...