We suggest a fiber micro-knot fabricated on a long-period fiber grating. The long-period fiber grating excites high-order modes into the micro-knot and transfers the output back to the Gaussian mode. We show theoretically and experimentally that these micro-knots have an improved Q-factor, higher stability, and have an increased evanescence wave coupling to the environment than single mode fibe...

The ultimate aim of the following pages is to explore the hypothesis that sentences containing a pronoun be analyzed as involving a topic pronoun doubling relation in a way that closely parallels the one overtly realized in Clitic Left Dislocation (CLLD) and Hanging Topic (HT) structures in Italian/Romance. In a nutshell: when a pronoun is present in the clause, a silent doubled non-overt topic...

Contestants have to choose whether to initiate a contest or war, or whether to remain peaceful for another period. We find that agents wait and initiate the contest once their rival is sufficiently weak to be an easy target. ZUSAMMENFASSUNG ''Leichte Beute'' und der Zeitpunkt eines Konflikts Die Gegner in einem potentiellen Konflikt müssen sich in jeder Periode entscheiden, ob sie den Konflikt ...

We consider solutions to the equation detDφ = μ when μ has a doubling property. We prove new geometric characterizations for this doubling property (by means of the so-called engulfing property) and deduce the quantitative behaviour of φ. Also, a constructive approach to the celebrated C-estimates proved by L. Caffarelli is presented, settling one of the open questions posed by C. Villani in [11].

We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the divergence form, a weaker form of the doubling property follows easily from a recent result, the backward Harnack inequality, and known estimates of the Green's function. Our method works for both the divergence and ...

A callosotomy patient was tested in 2 dual-task experiments requiring successive speeded responses to lateralized stimuli. The patient showed a robust psychological refractory period (PRP) effect. Three aspects of the data indicate that, unlike for the control participants, the PRP effect for the split-brain patient should not be attributed to a response selection bottleneck. First, the patient...

We incorporate a renewable resource into an overlapping generations model with standard, well-behaved utility and constant returns production functions. Besides being a factor of production the resource serves as a store of value. We characterize dynamics, efficiency and stability of steady state equilibria, and show that their nature depends on the size of the intertemporal elasticity of subst...

We present some arguments showing spectrum doubling of matrix models in the limit N → ∞ which is connected with fermionic determinant behaviour. The problems are similar to ones encountered in the lattice gauge theories with chiral fermions. One may discuss the “physical meaning” of the doubling states or ways to eliminate them. We briefly consider both situations.

In this paper, a discrete-time biological model and its dynamical behaviors are studied in detail. The existence and stability of the equilibria of the model are qualitatively discussed. More precisely, the conditions for the existence of a flip bifurcation and a Neimark-Sacker bifurcation are derived by using the center manifold theorem and bifurcation theory. Numerical simulations are present...

We consider a two-sector economy with money-in-the-utility-function and sector-specific externalities. We provide conditions on technologies leading to the existence of local indeterminacy for any value of the interest rate elasticity of money demand, provided the elasticity of intertemporal substitution in consumption is large enough. Moreover, we show that the occurrence of multiple equilibri...