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1. 1. Matematikens utveckling i Sverige fram till 1731

   Författare :Staffan Rodhe; Hans Wallin; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; Swedenborg; Polhem; Duhre; Klingenstierna; svensk matematikhistoria; serier; oändligt lilla; infinitesimal; oändlighet; kalkyl; Bernoulli; professor; Uppsala; differential; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Sammanfattning : This thesis contains two parts:In the first papers I consider the development of mathematics up till around 1720. I have done a special study of the period between 1710 and 1720, when you could find three Swedes writing about contemporary mathematics, Christopher Polhem, Emanuel Swedenborg and Anders Gabriel Duhre. LÄS MER

3. 2. Poisson Multi-Bernoulli Mixtures for Multiple Object Tracking

   Författare :Yuxuan Xia; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Bayesian filtering; random finite sets; multi- object tracking; trajectory estimation; extended object; conjugate prior;

   Sammanfattning : Multi-object tracking (MOT) refers to the process of estimating object trajectories of interest based on sequences of noisy sensor measurements obtained from multiple sources. Nowadays, MOT has found applications in numerous areas, including, e.g. LÄS MER

4. 3. On Degree Variance in Random Graphs

   Författare :Jan Hagberg; Ove Frank; Tom A.B. Snijders; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Degree Sequences; Uniform Random Graphs; Bernoulli Graphs; Degree Moments; Degree Statistics; Degree Variance; Gamma Approximation; Centrality Testing; Integer Sequences; Statistics; Statistik;

   Sammanfattning : This thesis is concerned with degree moments and degree variance in random graphs. The degree of vertex i in a graph is the number of edges incident to vertex i.In the first paper, degree moments and functions of degree moments are investigated for three random graph models. LÄS MER

5. 4. Viana maps and limit distributions of sums of point measures

   Författare :Daniel Schnellmann; Michael Benedicks; Masato Tsujii; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Viana maps; absolutely continuous invariant measures; skew-products; quadratic maps; Bernoulli convolutions; absolute continuity; typical points; equidistributed sequences; uniformly distibuted sequences; Mathematical analysis; Analys;

   Sammanfattning : .... LÄS MER

7. 5. Continuum Percolation in non-Euclidean Spaces

   Författare :Johan Tykesson; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Bernoulli percolation; continuum percolation; dependent percolation; double phase transition; hyperbolic space; Poisson Boolean model; geodesic percolation; continuum percolation;

   Sammanfattning : In this thesis we first consider the Poisson Boolean model of continuum percolation in $n$-dimensional hyperbolic space ${\mathbb H}^n$. Let $R$ be the radius of the balls in the model, and $\lambda$ the intensity of the underlying Poisson process. LÄS MER