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991.
A. Korn 《Physica A》2009,388(11):2221-2226
We propose a new node centrality measure in networks, the lobby index, which is inspired by Hirsch’s h-index. It is shown that in scale-free networks with exponent α the distribution of the l-index has power tail with exponent α(α+1). Properties of the l-index and extensions are discussed. 相似文献
992.
993.
994.
Y. Z. Wu C. H. Shi X. Hao T. Pan X. F. Jiang 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2009,53(2):253-257
The evolution of entanglement in a one-dimensional Ising chain with both two-body and three-body interactions, under two types
of initial states, is numerically simulated. We analyse three problems concerning the dynamics of pairwise entanglement: (i)
the possibility of generating large entanglement from an initial separable state by the use of a selective irradiation scheme;
(ii) the effect of three-body interaction on the generation of entanglement from an initial separable state; (iii) the effect
of three-body interaction on the decay of the entanglement from a state with only (m,n)-pair maximal entangled, and the rest
in product form. It is shown that a large pairwise concurrence Cmn can be obtained when the resonant, transverse radio-frequency fields are selectively switched on from the mth to nth spins.
Three-body interaction will decrease the oscillation amplitude of the nearest neighbour concurrence, while the oscillation
amplitude of remote pairwise concurrence will be greatly increased with the consideration of three-body interactions. For
an initial (m,n)-pair maximal entangled state, a slow decay of the pairwise concurrence Cmn is found with the introduction of three-body interactions. 相似文献
995.
S. B. Zheng 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2009,54(3):715-718
We propose a scheme for the generation of an arbitrary quantum states for multiple trapped ions in the symmetric Dicke subspace.
One can manipulate the collective ion transition in a selective symmetric Dicke subspace via the virtual excitation induced
inequidistant energy levels. All the states undergo the same phonon-number-dependent Stark shift and thus the scheme is insensitive
to the thermal motion. Furthermore, the scheme does not require individual addressing of the ions. 相似文献
996.
Yan Zheng 《数学学报(英文版)》2010,26(5):923-936
In this article stochastic perturbations of a class of fat solenoidal attractors are considered. We show the robustness of their invariant densities and rates of mixing under the stochastic perturbations by investigating the properties of their transfer operators. 相似文献
997.
This paper studies an equilibrium model between an insurance buyer and an insurance seller, where both parties’ risk preferences are given by convex risk measures. The interaction is modeled through a Stackelberg type game, where the insurance seller plays first by offering prices, in the form of safety loadings. Then the insurance buyer chooses his optimal proportional insurance share and his optimal prevention effort in order to minimize his risk measure. The loss distribution is given by a family of stochastically ordered probability measures, indexed by the prevention effort. We give special attention to the problems of self-insurance and self-protection, and show that if the buyer’s risk measure decreases faster in effort than his expected loss, optimal effort is non-decreasing in the safety loading with a potential discontinuity when optimal coverage switches from full to zero. On the contrary, if the decrease of the buyer’s risk measure is slower than the expected loss, optimal effort may or may not be non-decreasing in the safety loading. In case of Pareto distributed losses, the seller sets the highest possible price under which the buyer still prefers full insurance over no insurance. We also analyze the case of discrete distributions: on the one hand, for self-protection, under the assumption that the marginal impact of the effort is higher on small losses than it is on catastrophic losses, the optimal effort is non-decreasing in the safety loading. On the other hand, in the case of self-protection, more conditions are needed, in particular, we obtain sufficient conditions for the optimal effort to be non-decreasing or non-monotone in the safety loading. 相似文献
998.
《Stochastic Processes and their Applications》2020,130(9):5310-5365
In this article, we explore some of the main mathematical problems connected to multidimensional fractional conservation laws driven by Lévy processes. Making use of an adapted entropy formulation, a result of existence and uniqueness of a solution is established. Moreover, using bounded variation (BV) estimates for vanishing viscosity approximations, we derive an explicit continuous dependence estimate on the nonlinearities of the entropy solutions under the assumption that the Lévy noise depends only on the solution. This result is used to show the error estimate for the stochastic vanishing viscosity method. Furthermore, we establish a result on vanishing non-local regularization of scalar stochastic conservation laws. 相似文献
999.
Andreas Basse-O’Connor Mikkel Slot Nielsen Jan Pedersen 《Stochastic Processes and their Applications》2018,128(8):2538-2556
In the present paper we obtain sufficient conditions for the existence of equivalent local martingale measures for Lévy-driven moving averages and other non-Markovian jump processes. The conditions that we obtain are, under mild assumptions, also necessary. For instance, this is the case for moving averages driven by an -stable Lévy process with .Our proofs rely on various techniques for showing the martingale property of stochastic exponentials. 相似文献
1000.
Let T:X → X be a continuous map of a compact metric space X. A point x ∈ X is called Banach recurrent point if for all neighborhood V of x, {n ∈ N:Tn(x) ∈ V } has positive upper Banach density. Denote by Tr(T), W(T), QW(T) and BR(T) the sets of transitive points, weakly almost periodic points, quasi-weakly almost periodic points and Banach recurrent points of (X, T). If (X, T) has the specification property, then we show that every transitive point is Banach recurrent and ∅≠W(T) ∩ Tr(T) ≠⊂W*(T) ∩ Tr(T) ≠⊂ QW(T) ∩ Tr(T) ≠⊂ BR(T) ∩ Tr(T), in which W*(T) is a recurrent points set related to an open question posed by Zhou and Feng. Specifically the set Tr(T) ∩ W*(T)\W(T) is residual in X. Moreover, we construct a point x ∈ BR\QW in symbol dynamical system, and demonstrate that the sets W(T), QW(T) and BR(T) of a dynamical system are all Borel sets. 相似文献