Compactness and sequential compactness in spaces of measures

1971 ◽  
Vol 17 (2) ◽  
pp. 124-146 ◽  
Author(s):  
Peter G�nssler
Keyword(s):  
Sequential Compactness ◽  
Spaces Of Measures

Spaces of measures

1997 ◽  
pp. 241-262
Author(s):  
W. Filter ◽  
K. Weber
Keyword(s):  
Spaces Of Measures

scholarly journals On two-scale convergence and related sequential compactness topics

2006 ◽  
Vol 51 (3) ◽  
pp. 247-262 ◽  
Author(s):  
Anders Holmbom ◽  
Jeanette Silfver ◽  
Nils Svanstedt ◽  
Niklas Wellander
Keyword(s):  
Sequential Compactness

IFS on Spaces of Measures

2011 ◽  
pp. 149-212
Author(s):  
Herb Kunze ◽  
Davide La Torre ◽  
Franklin Mendivil ◽  
Edward R. Vrscay
Keyword(s):  
Spaces Of Measures

scholarly journals A New Characterization of Compact Sets in Fuzzy Number Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Huan Huang ◽  
Congxin Wu
Keyword(s):  
Fuzzy Number ◽  
Compact Sets ◽  
Sequential Compactness ◽  
Convergence Topology ◽  
Compact Subsets

We give a new characterization of compact subsets of the fuzzy number space equipped with the level convergence topology. Based on this, it is shown that compactness is equivalent to sequential compactness on the fuzzy number space endowed with the level convergence topology. Our results imply that some previous compactness criteria are wrong. A counterexample also is given to validate this judgment.

Finite regular invariant measures for Feller processes

1968 ◽  
Vol 5 (1) ◽  
pp. 203-209 ◽  
Author(s):  
V. E. Beneš
Keyword(s):  
Stochastic Process ◽  
Lyapunov Function ◽  
Invariant Measures ◽  
Sufficient Conditions ◽  
Ergodic Averages ◽  
Feller Process ◽  
The Third ◽  
Sequential Compactness ◽  
Finite Invariant Measure ◽  
Necessary And Sufficient

In the study of dynamical systems perturbed by noise, it is important to know whether the stochastic process of interest has a stationary distribution. Four necessary and sufficient conditions are formulated for the existence of a finite invariant measure for a Feller process on a σ-compact metric (state) space. These conditions link together stability notions from several fields. The first uses a Lyapunov function reminiscent of Lagrange stability in differential equations; the second depends on Prokhorov's condition for sequential compactness of measures; the third is a recurrence condition on the ergodic averages of the transition operator; and the fourth is analogous to a condition of Ulam and Oxtoby for the nonstochastic case.

scholarly journals Spaces of measures on metrizable spaces

1996 ◽  
Vol 72 (3) ◽  
pp. 215-258 ◽  
Author(s):  
Tadeusz Dobrowolski ◽  
Katsuro Sakai
Keyword(s):  
Metrizable Spaces ◽  
Spaces Of Measures
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