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Abstract: By now the -spectra of self-conformal measures satisfying the so-called open set condition are well understood. However, if the open set condition is not satisfied, then almost nothing is known. In this paper we compute the mixed -spectra for self-conformal measures, which have bound distortion property and satisfy the weak separation condition. [Copyright &y& Elsevier]

Abstract: In this paper, the invertibility of nonnegative Hamiltonian operator with unbounded entries is studied, and the sufficient conditions for the everywhere defined bounded invertibility of nonnegative Hamiltonian operator are obtained. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we study the existence of stationary solutions to the Vlasov–Poisson–Boltzmann system when the background density function tends to a positive constant with a very mild decay rate as . In fact, the stationary Vlasov–Poisson–Boltzmann system can be written into an elliptic equation with exponential nonlinearity. Under the assumption on the decay rate being for some , it is shown that this elliptic equation has a unique solution. This result generalizes the previous work [R. Glassey, J. Schaeffer, Y. Zheng, Steady states of the Vlasov–Poisson–Fokker–Planck system, J. Math. Anal. Appl. 202 (1996) 1058–1075] where the decay rate is assumed. [Copyright &y& Elsevier]

In this paper we characterize matrices that map every bounded sequence into one whose σ-core is a subset of the I-core of the original sequence. [Copyright &y& Elsevier]