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, 2013
"... I declare that this thesis is my own account of my research and contains as its main content work which has not previously been submitted for a degree at any tertiary education institution. ..."
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I declare that this thesis is my own account of my research and contains as its main content work which has not previously been submitted for a degree at any tertiary education institution.
© Institute of Mathematical Statistics, 2012 Statistical Modeling of Spatial Extremes1
"... Abstract. The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This ar-ticle reviews recent progress in the statistical modeling of spatial e ..."
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Abstract. The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This ar-ticle reviews recent progress in the statistical modeling of spatial
Name:...................................... Date:....................................
, 2010
"... belowground functioning of tropical biomes ..."
RECENT RESULTS ON THE PERIODIC LORENTZ GAS
, 2009
"... HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
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HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
Contents
, 1994
"... We study the generalizations of the well-known Lieb-Thirring inequality for the mag-netic Schrodinger operator with nonconstant magnetic eld. Our main result is the natu-rally expected magnetic Lieb-Thirring estimate on the moments of the negative eigenvalues for a certain class of magnetic elds (in ..."
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We study the generalizations of the well-known Lieb-Thirring inequality for the mag-netic Schrodinger operator with nonconstant magnetic eld. Our main result is the natu-rally expected magnetic Lieb-Thirring estimate on the moments of the negative eigenvalues for a certain class of magnetic elds (including even some unbounded ones). We develop a localization technique in path space of the stochastic Feynman-Kac representation of the heat kernel which eectively estimates the oscillatory eect due to the magnetic phase
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