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We relate the distribution of the absolute value of some generalized Gauss sums to the absolute irreducibility of some polynomials in two variables in characteristic 0 and p. 相似文献
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P. G. Walsh. 《Mathematics of Computation》2000,69(231):1183-1191
The purpose of this paper is to describe a method to determine whether a bivariate polynomial with rational coefficients is irreducible when regarded as an element in , the ring of polynomials with coefficients from the field of Laurent series in with rational coefficients. This is achieved by computing certain associated Puiseux expansions, and as a result, a polynomial-time complexity bound for the number of bit operations required to perform this irreducibility test is computed.
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解析Toeplitz算子的强不可约性 总被引:1,自引:0,他引:1
本文得到解析Toeplitz算子的强不可约性的一个充分条件,并且刻画了换位代数的k0-群. 相似文献
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Abstract: We consider an approximation problem related to strongly irreducible operators, that is, does the direct sum of a strongly irreducible operator in B∞(Ω) and certain operator have a small compact perturbation which is a strongly irreducible operator in B∞(Ω)? In this paper, we prove that the direct sum of any strongly irreducible operator in B∞(Ω) and certain biquasitriangular operator have small compact perturbations which are strongly irreducible operators in B∞(Ω). 相似文献
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In this paper, we obtain a readily verifiable condition of stability for GI/G/1 queueing systems with finite capacity. A necessary
and sufficient condition of irreducibility of the queueing size process is involved. Under this assumption, we derive general
conditions of recurrence (positive recurrence) for the general process describing the state of the system. The conditions
of irreducibility and recurrence are based on restrictions over the supports of the interarrival and the service distributions,
which are easy to check in practice. The positive recurrence is also connected to the first moments of both distributions.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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FRAN´OIS SAUVAGEOT 《Compositio Mathematica》1997,108(2):151-184
The main goal of this Letter is to give a new proof of a result conjectured by D. De George and N. Wallach and proved by P. Deborne and to extend it to the S-arithmetic setting. The proof is based on a density principle. 相似文献
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Aref Jeribi Hatem Megdiche Nedra Moalla 《Mathematical Methods in the Applied Sciences》2005,28(2):127-145
This paper deals with Rotenberg's models of cell populations with general boundary conditions. It is shown, first, that the associated Cauchy problem is governed by a C0‐semigroup. Second, we have proved that if the boundary operator is positive, the transport semigroup is irreducible. And finally, a spectral decomposition of the solution into an asymptotic term was derived. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
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《Stochastic Processes and their Applications》2019,129(11):4576-4596
The asymptotic log-Harnack inequality is established for several kinds of models on stochastic differential systems with infinite memory: non-degenerate SDEs, neutral SDEs, semi-linear SPDEs, and stochastic Hamiltonian systems. As applications, the following properties are derived for the associated segment Markov semigroups: asymptotic heat kernel estimate, uniqueness of the invariant probability measure, asymptotic gradient estimate (hence, asymptotically strong Feller property), as well as asymptotic irreducibility. 相似文献