scholarly journals Asymptotic Behaviour of Iterates of Volterra Operators on Lp (0, 1)

2005 ◽  
Vol 53 (3) ◽  
pp. 331-341 ◽  
Author(s):  
S. P. Eveson
Keyword(s):  
Asymptotic Behaviour ◽  
Volterra Operators

Generalized Volterra operators on polynomially generated Banach spaces

2020 ◽  
Vol Accepted ◽  
Author(s):  
Nasrin Eghbali ◽  
Maryam M. Pirasteh ◽  
Amir H. Sanatpour
Keyword(s):  
Banach Spaces ◽  
Volterra Operators

Asymptotic behaviour of sample weighted circuits representing recurrent Markov chains

1990 ◽  
Vol 27 (03) ◽  
pp. 545-556 ◽  
Author(s):  
S. Kalpazidou
Keyword(s):  
Markov Chain ◽  
Markov Chains ◽  
Asymptotic Behaviour ◽  
Probabilistic Interpretation ◽  
Stationary Markov Chain

The asymptotic behaviour of the sequence (𝒞 n (ω), wc,n (ω)/n), is studied where 𝒞 n (ω) is the class of all cycles c occurring along the trajectory ωof a recurrent strictly stationary Markov chain (ξ n ) until time n and wc,n (ω) is the number of occurrences of the cycle c until time n. The previous sequence of sample weighted classes converges almost surely to a class of directed weighted cycles (𝒞∞, ω c ) which represents uniquely the chain (ξ n ) as a circuit chain, and ω c is given a probabilistic interpretation.

Entropy numbers of embedding maps between Besov spaces with an application to eigenvalue problems

1981 ◽  
Vol 90 (1-2) ◽  
pp. 63-70 ◽  
Author(s):  
Bernd Carl
Keyword(s):  
Banach Space ◽  
Asymptotic Behaviour ◽  
Besov Spaces ◽  
Eigenvalue Problems ◽  
Function Spaces ◽  
Sequence Spaces ◽  
Entropy Numbers ◽  
Diagonal Operators

SynopsisIn this paper we determine the asymptotic behaviour of entropy numbers of embedding maps between Besov sequence spaces and Besov function spaces. The results extend those of M. Š. Birman, M. Z. Solomjak and H. Triebel originally formulated in the language of ε-entropy. It turns out that the characterization of embedding maps between Besov spaces by entropy numbers can be reduced to the characterization of certain diagonal operators by their entropy numbers.Finally, the entropy numbers are applied to the study of eigenvalues of operators acting on a Banach space which admit a factorization through embedding maps between Besov spaces.The statements of this paper are obtained by results recently proved elsewhere by the author.

On the asymptotic behaviour of the busy-period distribution in M/G/1 queues

1980 ◽  
Vol 12 (02) ◽  
pp. 301-302
Author(s):  
Anne-Marie De Meyer ◽  
J. L. Teugels
Keyword(s):  
Asymptotic Behaviour ◽  
Busy Period ◽  
Period Distribution

Bounds for coverage probabilities with applications to sequential coverage problems

1974 ◽  
Vol 11 (02) ◽  
pp. 281-293 ◽  
Author(s):  
Peter J. Cooke
Keyword(s):  
Asymptotic Behaviour ◽  
Stopping Rules ◽  
Geometrical Probability ◽  
Coverage Probabilities ◽  
Coverage Problems

This paper discusses general bounds for coverage probabilities and moments of stopping rules for sequential coverage problems in geometrical probability. An approach to the study of the asymptotic behaviour of these moments is also presented.

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