共查询到20条相似文献,搜索用时 15 毫秒
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A. S. Chani 《Journal of Mathematical Sciences》1993,67(4):3229-3233
We consider finite-dimensional homogeneous stochastic semigroups X
s
t
, 0 s t < assuming values in the space of real square matrices. For stochastic semigroups assuming values in the class of upper triangular matrices we compute the index of exponential growth
, where · is the operator norm of a matrix. The answer is given in terms of the characteristic Yt of the generating process Yt of the semigroup Xs
t:x=–(1/2), where is the smallest eigenvalue of the matrix B which defines the characteristic Yt=Bt.Translated from Teoriya Sluchainykh Protsessov, No. 16, pp. 78–84, 1988. 相似文献
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L. M. Shneerson 《Mathematical Notes》1990,48(1):713-717
Translated from Matematicheskie Zametki, Vol. 48, No. 1, pp. 138–145, July, 1990. 相似文献
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A. S. Chani 《Ukrainian Mathematical Journal》1993,45(11):1779-1784
A family of subalgebras describing the space of complex-valued 2×2 matrices is selected. In this space, a stochastic semigroupY
n
=X
n
X
–1 ...X
1,n=
, is considered, where {Xi, i=
} are independent equally distributed random matrices taking two values. For a stochastic semigroupY
n
, whose phase space belongs to one of the subalgebras, the index of exponential growth is determined explicitly.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 11, pp. 1580–1584, November, 1993. 相似文献
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Filippo Bracci Manuel D. Contreras Santiago Díaz-Madrigal 《Journal d'Analyse Mathématique》2007,102(1):119-142
We characterize the infinitesimal generator of a semigroup of linear fractional self-maps of the unit ball in ℂn, n ≥ 1. For the case n = 1, we also completely describe the associated Koenigs function and solve the embedding problem from a dynamical point of
view, proving (among other things) that a generic semigroup of holomorphic self-maps of the unit disc is a semigroup of linear
fractional maps if and only if it contains a linear fractional map for some positive time.
Partially supported by the Ministerio de Ciencia y Tecnología and the European Union (FEDER) project BFM2003-07294-C02-02 and by La Consejería de Educación y Ciencia de la Junta de Andalucía. 相似文献
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O. V. Zakharova 《Russian Mathematics (Iz VUZ)》2009,53(6):1-6
In this paper we prove that instead of solving a class of systems of stochastic differential equations with a multidimensional Wiener process one can solve a system of total differential equations. The latter system admits an application of classical methods. This fact enables one to solve the initial system explicitly. 相似文献
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Wei LIU 《Frontiers of Mathematics in China》2011,6(3):449-472
In this paper, we first show the uniqueness of invariant measures for the stochastic fast diffusion equation, which follows
from an obtained new decay estimate. Then we establish the Harnack inequality for the stochastic fast diffusion equation with
nonlinear perturbation in the drift and derive the heat kernel estimate and ultrabounded property for the associated transition
semigroup. Moreover, the exponential ergodicity and the existence of a spectral gap are also investigated. 相似文献
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Nigel J. Cutland 《Acta Appl Math》1986,5(2):105-135
In Part I, methods of nonstandard analysis are applied to deterministic control theory, extending earlier work of the author. Results established include compactness of relaxed controls, continuity of solution and cost as functions of the controls, and existence of optimal controls. In Part II, the methods are extended to obtain similar results for partially observed stochastic control. Systems considered take the form:where the feedback control u depends on information from a digital read-out of the observation process y. The noise in the state equation is controlled along with the drift. Similar methods are applied to a Markov system in the final section. 相似文献
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A. S. Chani 《Journal of Mathematical Sciences》1991,53(1):98-100
We find the form of the generating processW
t
for the Trotter productX
s
t
Z
s
t
of stochastic semigroups:W
t
=Y
t
+V
t
+[Y, V]
t
, whereY
t
andV
t
are generating processes of the semigroupsX
s
t
andZ
s
t
respectively and [Y, V]
t
is their mutual quadratic variation.Translated fromTeoriya Sluchaínykh Protsessov, Vol. 14, pp. 94–96, 1986. 相似文献
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Chiara Spina 《Archiv der Mathematik》2008,91(3):265-279
We prove short time pointwise upper bounds for the heat kernels of certain Kolmogorov operators. We use Lyapunov function
techniques, where the Lyapunov functions depend also on the time variable.
Received: 29 November 2007 相似文献
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I. Szabó 《Acta Mathematica Hungarica》1977,30(1-2):141-147