scholarly journals A note on conservative measures on semigroups

1992 ◽  
Vol 15 (1) ◽  
pp. 195-198
Author(s):  
N. A. Tserpes
Keyword(s):  
Ergodic Theory ◽  
Measure Space ◽  
Borel Measure ◽  
Left Group ◽  
Closed Mappings ◽  
Metric Semigroup

Consider(S,B,μ)the measure space whereSis a topological metric semigroup andμa countably additive bounded Borel measure. Callμconservative if all right translationstx:s→sx,x∈S(which are assumed closed mappings) are conservative with respect(S,B,μ)in the ergodic theory sense. It is shown that the semigroup generated by the support ofμis a left group. An extension of this result is obtained forσ-finiteμ.

On r*-Invariant Measure on a Locally Compact Semigroup with Recurrence

1980 ◽  
Vol 23 (2) ◽  
pp. 237-239
Author(s):  
Samuel Bourne
Keyword(s):  
Invariant Measure ◽  
Borel Measure ◽  
Compact Semigroup ◽  
Locally Compact ◽  
Borel Sets ◽  
Left Group ◽  
Locally Compact Semigroup ◽  
Regular Borel Measure

A regular Borel measure μ is said to be r*-invariant on a locally compact semigroup if μ(Ba-1) = μ(B) for all Borel sets B and points a of S, where Ba-1 ={xϵS, xaϵB}. In [1] Argabright conjectured that the support of an r*-invariant measure on a locally compact semigroup is a left group, Mukherjea and Tserpes [4] proved this conjecture in the case that the measure is finite; however their method of proof fails when the measure is infinite.

Ergodic Theory

1983 ◽  
Author(s):  
Karl E. Petersen
Keyword(s):  
Ergodic Theory

Intutitionistic Fuzzy SG-Closed Mappings

2012 ◽  
Vol 2 (2) ◽  
pp. 85
Author(s):  
K. Arun Prakash ◽  
R. Santhi
Keyword(s):  
Closed Mappings

scholarly journals Representation of climate change consequences in British newspapers

2021 ◽  
pp. 026732312097872
Author(s):  
Maria Laura Ruiu
Keyword(s):  
Climate Change ◽  
Public Understanding ◽  
Left Group ◽  
Impact Of Climate Change ◽  
Human Control ◽  
Time Periods ◽  
The Impact

This article explores British newspaper descriptions of the impact of climate change across three time periods. It shows a reduction in representing the consequences of climate change as ‘out of human control’. It also shows a decrease in adopting alarming and uncertain descriptions within the centre-left group, whereas mocking the effects of climate change is a peculiarity of right-leaning narratives. The complexity of climate narratives produces a variety of representations of the consequences of climate change, which in turn might increase ‘uncertainty’ in public understanding of climate change.

On the Integrability of the Ergodic Hilbert Transform for A Class of Functions with Equal Absolute Values

1998 ◽  
Vol 5 (2) ◽  
pp. 101-106
Author(s):  
L. Ephremidze
Keyword(s):  
Hilbert Transform ◽  
Measure Space ◽  
Integrable Function ◽  
Finite Measure ◽  
Ergodic Transformation ◽  
Finite Measure Space ◽  
Class Of Functions

Abstract It is proved that for an arbitrary non-atomic finite measure space with a measure-preserving ergodic transformation there exists an integrable function f such that the ergodic Hilbert transform of any function equal in absolute values to f is non-integrable.

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