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But this contradicts condition (4) and the proof is complete.. The main result of this paper regards the case of Stancu operator. The four condition and general assumption from
Theorem 2.2 gives us a representation of matrix R as a product of type (1.2), of t doubly stochastic matrices of simple structure, where t is the cardinality of F.. A
Since the models of [ FT04 ] and [ FN06 ] are not attractive, a new tool, the stochastic theory of compensated compactness is used there to pass to the hydrodynamic limit;
We prove the existence and uniqueness of a strong solution of a stochastic differential equation with normal reflection representing the random motion of finitely many globules..
The most successful techniques in the quantitative study of (time homogeneous) finite Markov chains include: coupling, strong stationary time, spectral methods, and
We now show how the uniform law of large numbers in Theorem 1.1 can be used to prove the hydrodynamic limits for the system of RWRE as stated in Theorem 1.4.. Proof of Theorem 1.4:
For example, in [ 3 ] the uniqueness of the stochastic linear transport equation with Hölder continuous drift was proved, through new results about stochastic flows of class C 1,
We investigate a functional limit theorem (homogenization) for Reflected Stochastic Differential Equations on a half-plane with stationary coefficients when it is necessary to
