Using LISA-like Gravitational Wave Detectors to Search for Primordial Black Holes

Primordial black hole (PBH), which can be naturally produced in the early universe, remains a promising dark matter candidate . It can merge with a supermassive black hole (SMBH) in the center of a galaxy and generate gravitational wave (GW) signals in the favored frequency region of LISA-like experiments. In this work, we initiate the study on the event rate calculation for such extreme mass ratio inspirals (EMRI). Including the sensitivities of various proposed GW detectors, we find that such experiments offer a novel and outstanding tool to test the scenario where PBH constitutes (fraction of) dark matter. The PBH energy density fraction of DM ($f_\text{PBH}$) could potentially be explored as small as $10^{-3} \sim 10^{-4}$. Further, LISA has the capability to search for PBH mass upto $10^{-2} \sim 10^{-1} M_\odot$. Other proposed GW experiments can probe lower PBH mass regime.Comment: 8 pages, 2 figure

Discrete mechanics Based on Finite Element Methods

Discrete Mechanics based on finite element methods is presented in this paper. We also explore the relationship between this discrete mechanics and Veselov discrete mechanics. High order discretizations are constructed in terms of high order interpolations.Comment: 14 pages, 0 figure

The four others in I. Kadare\u27s works : a study of the Albanian national identity.

Nationalism, as one of the most powerful forms of social mobilization in the contemporary world, was utilized as an effective ideological tool by Hoxha’s communist regime to construct the Albanian national identity. As an essential part of the process, the ‘Other’ was employed to strengthen the nation’s self-image and to justify the regime’s foreign policies and internal campaigns. Ismail Kadare, the most prominent Albanian writer to serve the national-communist ideology, has become a controversial figure since the collapse of Albanian Communism in the early 1990s. Scholars differ in their opinions of Kadare’s role under the Albanian communist regime and his current claim that the Albanian national identity is purely European. Based on the observation that Othering is Kadare’s most preferred means of treating national and personal identity issues, this dissertation examines all aspects of Otherness created by Kadare through the rhetoric of exclusion in service of the Albanian national identity formation. While acknowledging Kadare’s value as a great writer, the study focuses on Kadare’s role in the Albanian national identity construction, his opportunistic failings and the limitations of his Self-Other dichotomist mentality. It proves that Kadare is a superb master of employing myths and historiography to create the paradigm for the Albanian people to forge their unique national identity. By examining the four Albanian national Others presented in Kadare’s works, namely the Western, Oriental, Internal and Neighboring Others, the historical backgrounds for the appearance of the four Others, and the present rhetoric of calling the Western Other ‘Mother’, the dissertation illustrates the political nature of national identity, the fluidity of the political identity of the nations situated in the gray zone between East and West, and the relationship between literature and politics. This research demonstrates that Kadare’s life as a writer and his life as a person “are maintained on two parallel rails”. As a balance to the criticism of Kadare’s dichotomist mentality in treating his personal and the Albanian national identities, the non-dichotomist side of Kadare and his humanistic vision as reflected in his literary fictions is examined in the final chapter. The dissertation concludes by calling for efforts from intellectuals like Kadare to build humanistic platforms on which nations can be oriented to go beyond the limitations of political Othering