Symplectic geometry can be traced back to Lagrange and his work on celestial mechanics and has since then been a very active field in mathematics, partly because of the applications it offers but also because of the beauty of the objects it deals with. I this thesis we begin by the simplest fact of symplectic geometry. We give the definition of a symplectic space and of the symplectic group, Sp(n). A symplectic space is the data of an even-dimensional space and of a form which satisfies a number of properties. Having done this we give a definition of the Lagrangian Grassmannian Lag(n) which consists of all n-dimensional subspaces of the symplectic space on which the symplectic form vanishes. We carefully study the topology of these spaces and their universal coverings. It is of great interest to know how the elements of the Lagrangian Grassmannian intersect each other. A lot of efforts have therefore been made to construct intersection indices for elements of Lag(n). They have gone under many names but have had a sole purpose, namely to give us a way to determine how these elements intersect. We show how these elements are constructed and extend the definition to paths of elements of Lag(n) and Sp(n). We end this thesis by extending the definition of an index defined by Conley and Zehnder bu using the properties of the Leray index. Their index plays a significant role in the theory of periodic Hamiltonian orbit.

This paper investigates whether an Islamic screened benchmark index shows a different risk adjusted performance in comparison to a non-screened benchmark index. In contrast to other papers this study analyzes daily observations in the years from 2007 to 2012, a period heavily affected by the financial crisis. The Capital Asset Pricing Model and the Jensen measure of abnormal returns are used to estimate and compare the indexes mean risk-adjusted returns. The results show that the Islamic index does not reveal any different level of daily mean risk-adjusted returns compared to the conventional non-screened index. Hence, Muslims who align their investments according to the teachings of Islam are not worse off than non-restricted investors following the screened Islamic index.

Eddy-covariance (EC) CO₂ flux data were analysed and annual carbon (C) balances estimated for a four-year period (2004-2007) following clearcut harvesting of a boreal jack pine stand in northern Saskatchewan. The site was a source of C to the atmosphere for all years, with annual net ecosystem productivity (NEP) increasing from -153 g C m⁻² yr⁻¹ in 2004 to -63 g C m⁻² yr⁻¹ in 2007. This increase was mainly due to gross primary productivity (GPP) increasing significantly from 78 to 200 g C m⁻² yr⁻¹ , while ecosystem respiration (R) increased only slightly from 231 to 263 g C m⁻² yr⁻¹ over the same period. In the 2006 growing season (GS), a field campaign was conducted to investigate the relationships between monthly destructive measurements of leaf area index (LAI) and daily measurements of the normalized difference vegetation index (NDVI) and photosynthetic capacity (Amax). The latter was derived from 5-day, 16-day, 30-day and annual Michaelis-Menten light response analyses using daytime measurements of NEP and incident photosynthetically active radiation. Digital-camera data were used to evaluate the potential of using the rectilinear-lens vegetation index (RLVI) as a surrogate for NDVI of a young forest stand. Results showed that LAI was linearly related to NDVI and RLVI, which was largely the result of changes in the deciduous vegetation component across the GS. These results indicate that RLVI could be used as a surrogate for NDVI up to a GS maximum LAI of 0.91 m2 m⁻² observed in 2006. Measured mean (± 1 S.D.) GS LAI was 0.67 (± 0.24) m² m⁻² in 2006. LAI accounted for the majority of the variability in Amax at the 30-day time scale, while at shorter time scales air temperature was the dominant control. For 2004 to 2007, mean spring estimates of LAI were 0.25, 0.29, 0.38 (compared to 0.40 m² m⁻² from measurements) and 0.41 m² m⁻², respectively. Results suggest that a steady increase in the jack pine LAI component accounted for the annual increases in GPP and hence NEP over the four years.

Immigration to Sweden has increased since Second World War. The immigra-tion pattern has also shifted from labor immigration to refugee immigration. The relative labor market performance of immigrants began to worsen at the end of 1970s. The employment rate among foreign born persons is considera-bly lower than it is among Swedish born persons.Integration of foreign born persons in the areas of education, income and em-ployment varies among FA-regions in Sweden. FA-region means functional analysis region, where you can live and work without having time-wasting trips.The purpose of this thesis is to analyze the relationship between labor market participation of immigrants and segregation on the regional level.Three indices (Dissimilarity, Isolation and Gini) of segregation are used in or-der to investigate the relationship between segregation and employment level among immigrants. The results show that there exists a negative relationship between these variables. In FA-regions of metropolitan regions in spite of high segregation rate the relationship between segregation and employment rate is slightly weaker, than it is among FA-regions of large city regions. The main conclusion of this study is the regional perspective, the necessity of making this kind of analysis on regional level, not country level.

Eddy-covariance (EC) CO₂ flux data were analysed and annual carbon (C) balances estimated for a four-year period (2004-2007) following clearcut harvesting of a boreal jack pine stand in northern Saskatchewan. The site was a source of C to the atmosphere for all years, with annual net ecosystem productivity (NEP) increasing from -153 g C m⁻² yr⁻¹ in 2004 to -63 g C m⁻² yr⁻¹ in 2007. This increase was mainly due to gross primary productivity (GPP) increasing significantly from 78 to 200 g C m⁻² yr⁻¹ , while ecosystem respiration (R) increased only slightly from 231 to 263 g C m⁻² yr⁻¹ over the same period. In the 2006 growing season (GS), a field campaign was conducted to investigate the relationships between monthly destructive measurements of leaf area index (LAI) and daily measurements of the normalized difference vegetation index (NDVI) and photosynthetic capacity (Amax). The latter was derived from 5-day, 16-day, 30-day and annual Michaelis-Menten light response analyses using daytime measurements of NEP and incident photosynthetically active radiation. Digital-camera data were used to evaluate the potential of using the rectilinear-lens vegetation index (RLVI) as a surrogate for NDVI of a young forest stand. Results showed that LAI was linearly related to NDVI and RLVI, which was largely the result of changes in the deciduous vegetation component across the GS. These results indicate that RLVI could be used as a surrogate for NDVI up to a GS maximum LAI of 0.91 m2 m⁻² observed in 2006. Measured mean (± 1 S.D.) GS LAI was 0.67 (± 0.24) m² m⁻² in 2006. LAI accounted for the majority of the variability in Amax at the 30-day time scale, while at shorter time scales air temperature was the dominant control. For 2004 to 2007, mean spring estimates of LAI were 0.25, 0.29, 0.38 (compared to 0.40 m² m⁻² from measurements) and 0.41 m² m⁻², respectively. Results suggest that a steady increase in the jack pine LAI component accounted for the annual increases in GPP and hence NEP over the four years.

No description available.

Thesis (M.B.A.)--University of Hong Kong, 1994. / Includes bibliographical references (leaves 107-109).

Eddy-covariance (EC) CO₂ flux data were analysed and annual carbon (C) balances estimated for a four-year period (2004-2007) following clearcut harvesting of a boreal jack pine stand in northern Saskatchewan. The site was a source of C to the atmosphere for all years, with annual net ecosystem productivity (NEP) increasing from -153 g C m⁻² yr⁻¹ in 2004 to -63 g C m⁻² yr⁻¹ in 2007. This increase was mainly due to gross primary productivity (GPP) increasing significantly from 78 to 200 g C m⁻² yr⁻¹ , while ecosystem respiration (R) increased only slightly from 231 to 263 g C m⁻² yr⁻¹ over the same period. In the 2006 growing season (GS), a field campaign was conducted to investigate the relationships between monthly destructive measurements of leaf area index (LAI) and daily measurements of the normalized difference vegetation index (NDVI) and photosynthetic capacity (Amax). The latter was derived from 5-day, 16-day, 30-day and annual Michaelis-Menten light response analyses using daytime measurements of NEP and incident photosynthetically active radiation. Digital-camera data were used to evaluate the potential of using the rectilinear-lens vegetation index (RLVI) as a surrogate for NDVI of a young forest stand. Results showed that LAI was linearly related to NDVI and RLVI, which was largely the result of changes in the deciduous vegetation component across the GS. These results indicate that RLVI could be used as a surrogate for NDVI up to a GS maximum LAI of 0.91 m2 m⁻² observed in 2006. Measured mean (± 1 S.D.) GS LAI was 0.67 (± 0.24) m² m⁻² in 2006. LAI accounted for the majority of the variability in Amax at the 30-day time scale, while at shorter time scales air temperature was the dominant control. For 2004 to 2007, mean spring estimates of LAI were 0.25, 0.29, 0.38 (compared to 0.40 m² m⁻² from measurements) and 0.41 m² m⁻², respectively. Results suggest that a steady increase in the jack pine LAI component accounted for the annual increases in GPP and hence NEP over the four years. / Land and Food Systems, Faculty of / Graduate

Background. Due to prevailing technological development, telecommunication and computers have become very advanced. This has had a tremendous effect on the financial markets as well, various facilitating financial means have become much more common. One of such is passively managed index funds which does not only use index as a benchmark but also trade the stocks in the index. Thus, guaranteeing the fund a return equal to the market return and to a lower cost than an equally good actively managed fund. Index funds have in recent times increased in popularity, which has left its mark. The price of the stocks included to and excluded from an index has been observed to respectively increase and decrease in value.   Research on the price effects caused by index revision, or the effects that inclusion and exclusion have on the price of underlying shares, has been around since the 1980s. In the literature, it is generally accepted that inclusion to an index results in a positive price development, while exclusion results in a negative price development. However, the literature does not agree on whether the price effects are long-term or short-term. The disagreement began with the first studies in the field, where one author found that the price effects were long-lasting, even permanent. The others, on the other hand, found that the price effects were short-lived and returned to their original value when the trading ceased. Subsequent research is equally inconsistent. Some studies have found temporary changes, and some have found permanent ones. In this uncertainty, different theories of explanation have also been presented for the different outcomes, but these do not agree either. Objectives. To bring some clarity to the problems within the literature, the purpose of this study is to investigate the stock price effects from the reconstruction of a Swedish market index, with consideration of whether the effects are temporary or permanent. Methods. This study applied the event study methodology and the market model to examine the abnormal return found around the announcement day and the changing day. The study is based on 195 stocks that were included to and excluded from the OMX Stockholm Benchmark Index between the years 2009 and 2019.  Results. This study did not find any statistically significant price change in the period before the announcement date. However, there were indications that the announcement day did have a positive effect on the included stocks and a negative effect on the excluded stocks. But the time after the announcement day and prior to the changing day did not show any statistically significant price changes. The changing day and the period after were both found to be negatively significant for inclusions. Thus, indicating a negative price effect on the day of inclusion and the period that followed. These results are consistent with previous studies that have found a price drop on the changing day and the following period. A further test of the relationship between the abnormal return found on the announcement day and the changing day revealed that the price increase was concentrated to the announcement day. A possible explanation for this outcome may be that index funds that trade on the Swedish exchange have recognized the opportunity to trade closer to the announcement day without incurring any losses and acted accordingly. Regarding the exclusions, the changing days were not found to be statistically significant. Neither did the period following the changing day show any statistical significance. This result could be due to a delayed reaction to the changing day, given that this group showed a slow reaction to the announcement day as well. Both the announcement day and the day after the announcement day were statistically significant at the 1% level. Other possible causes for the deviating results are errors in execution or data. Conclusions. The result of this study is consistent with other studies that find a temporary price reaction to the index reconstruction.

No description available.