Local property study for arbitrary polarised OAM beam

2019 ◽  
Vol 13 (11) ◽  
pp. 1846-1853
Author(s):  
Jiayu Zheng ◽  
Shilie Zheng ◽  
Xiaofeng Jin ◽  
Hao Chi ◽  
Xianbin Yu ◽  
...  
Keyword(s):  
Local Property

The Relation between Business Property Values and Local Property Taxes

2014 ◽  
Vol 37 (1) ◽  
pp. 103-128 ◽  
Author(s):  
Kimberly G. Key ◽  
Teresa A. Lightner
Keyword(s):  
Property Values ◽  
Local Property ◽  
Property Taxes ◽  
Tax Revenue ◽  
Industrial Property ◽  
Business Taxes ◽  
Trade Offs ◽  
Property Owners ◽  
Capital Tax ◽  
Business Property

ABSTRACT This study examines the relation between commercial and industrial property values and local property taxes using 1999 to 2009 data for the state of Georgia. Results show a negative relation between commercial values and property taxes, consistent with the new view of capital tax prediction that these taxes are borne, at least in part, by property owners. Incidence estimates show very high to full capitalization. There is little evidence of a relation between industrial property values and property taxes, contrary to prior research. This study is the first to provide empirical evidence of differences in commercial and industrial property tax incidence. The study contributes to the understanding of the capitalization of business taxes, which has been the subject of very little prior research. The results can inform policymakers who consider trade-offs in tax revenue needs, economic development, and issues of fairness in their localities.

Property in Land in Roman Provinces

2018 ◽  
Author(s):  
Georgy Kantor
Keyword(s):  
Local Property ◽  
Legal Tradition ◽  
Technical Literature ◽  
Historical Scholarship ◽  
Property Relations ◽  
Roman Provinces ◽  
Legal Regimes ◽  
The Right ◽  
Property Regimes

Roman concept of dominium has been fundamental in the formation of concepts of ownership in European legal tradition. It is, however, often considered outside the context of Roman imperial rule and of the multiplicity of legal regimes governing property relations in Roman provinces outside Italy. This chapter starts from the classic passage in the Institutes of Gaius, claiming that the right of dominium did not exist in provincial land, where it belonged to the Roman state. Gaius’ statement is often dismissed in modern historical scholarship as a ‘conveyancer’s fantasy’ (A.H.M. Jones). It is argued here that, on the contrary, this passage and other similar statements in Roman juristic literature and technical literature on land-measurement, show an important facet of Roman ideas of ownership as a socially contingent right, dependent on civic status of the owner, status of the territory within the empire, and Roman recognition of local property regimes.

scholarly journals Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces

2019 ◽  
Vol 7 (1) ◽  
pp. 179-196
Author(s):  
Anders Björn ◽  
Daniel Hansevi
Keyword(s):  
Harmonic Functions ◽  
Obstacle Problem ◽  
Metric Spaces ◽  
Local Property ◽  
Boundary Regularity ◽  
Obstacle Problems ◽  
Regular Boundary ◽  
Complete Metric Spaces ◽  
Regularity Results

Abstract The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞. The barrier classification of regular boundary points is established, and it is shown that regularity is a local property of the boundary. We also obtain boundary regularity results for solutions of the obstacle problem on open sets, and characterize regularity further in several other ways.

scholarly journals Strong Local Survival of Branching Random Walks is Not Monotone

2014 ◽  
Vol 46 (02) ◽  
pp. 400-421 ◽  
Author(s):  
Daniela Bertacchi ◽  
Fabio Zucca
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Generating Function ◽  
Continuous Time ◽  
Local Property ◽  
Branching Random Walk ◽  
Infinite Dimensional ◽  
Branching Random Walks ◽  
Local Survival ◽  
Branching Law

In this paper we study the strong local survival property for discrete-time and continuous-time branching random walks. We study this property by means of an infinite-dimensional generating functionGand a maximum principle which, we prove, is satisfied by every fixed point ofG. We give results for the existence of a strong local survival regime and we prove that, unlike local and global survival, in continuous time, strong local survival is not a monotone property in the general case (though it is monotone if the branching random walk is quasitransitive). We provide an example of an irreducible branching random walk where the strong local property depends on the starting site of the process. By means of other counterexamples, we show that the existence of a pure global phase is not equivalent to nonamenability of the process, and that even an irreducible branching random walk with the same branching law at each site may exhibit nonstrong local survival. Finally, we show that the generating function of an irreducible branching random walk can have more than two fixed points; this disproves a previously known result.

The Intersectionality of Educating Black Students in Michigan: Public School Finance, Racial Segregation, and Housing Policy

2021 ◽  
Author(s):  
Phillip Caldwell II ◽  
Jed T. Richardson ◽  
Rajah E. Smart ◽  
Meaghan Polega
Keyword(s):  
Public Schools ◽  
Critical Race Theory ◽  
Black Students ◽  
Housing Policy ◽  
School Finance ◽  
Local Property ◽  
White Student ◽  
Structural Racism ◽  
Percentage Point Increase ◽  
Property Wealth

This research investigates Michigan’s system for funding public schools, particularly for Black students, via critical race theory, focusing on structural racism and discrimination embedded in education finance laws, housing policies, and residential and educational segregation. Our research questions are (i) How does district per-pupil funding in Michigan vary by race and income? (ii) Does variation by race and income depend on whether funding is from state or local sources? (iii) How does district property wealth in Michigan vary by race and income? and (iv) How does the proportion of property wealth Michigan districts commit to local education funding vary by race and income? We find that the average Black student receiving free or reduced-price lunch (FRL) receives $411 less per pupil than the average White student receiving FRL and $783 less per pupil than the average White student who does not receive FRL. These disparities stem entirely from differences in locally sourced district revenues that are the result of vast differences in property wealth. On average, a one-percentage-point increase in a district’s proportion of Black students receiving FRL is associated with a $2,354 decrease in taxable value of property per pupil, implying that a district with all Black students receiving FRL would have $235,400 less taxable value per pupil than a district with no Black students receiving FRL. Through its continued reliance on local property taxation, the school finance system in Michigan is just another example of how laws and policies reinforce structural racism and discrimination against Black students. This study can discern a self-reinforcing system that relegates Blacks to a subordinate socioeconomic status regarding school finance, segregation and housing policy, and discrimination.

scholarly journals Strong Local Survival of Branching Random Walks is Not Monotone

2014 ◽  
Vol 46 (2) ◽  
pp. 400-421 ◽  
Author(s):  
Daniela Bertacchi ◽  
Fabio Zucca
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Generating Function ◽  
Continuous Time ◽  
Local Property ◽  
Branching Random Walk ◽  
Infinite Dimensional ◽  
Branching Random Walks ◽  
Local Survival ◽  
Branching Law

In this paper we study the strong local survival property for discrete-time and continuous-time branching random walks. We study this property by means of an infinite-dimensional generating function G and a maximum principle which, we prove, is satisfied by every fixed point of G. We give results for the existence of a strong local survival regime and we prove that, unlike local and global survival, in continuous time, strong local survival is not a monotone property in the general case (though it is monotone if the branching random walk is quasitransitive). We provide an example of an irreducible branching random walk where the strong local property depends on the starting site of the process. By means of other counterexamples, we show that the existence of a pure global phase is not equivalent to nonamenability of the process, and that even an irreducible branching random walk with the same branching law at each site may exhibit nonstrong local survival. Finally, we show that the generating function of an irreducible branching random walk can have more than two fixed points; this disproves a previously known result.

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