Sökning: "Hypergeometric function"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Hypergeometric function.

1. 1. Tropical aspects of real polynomials and hypergeometric functions

   Författare :Jens Forsgård; Boris Shapiro; Grigory Mikhalkin; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Amoeba; Tropical Geometry; Hypergeometric function; Geometry of zeros; Discriminant; Mathematics; matematik;

   Sammanfattning : The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros.First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. LÄS MER

3. 2. Amoebas, Discriminants, and Hypergeometric Functions

   Författare :Lisa Nilsson; Mikael Passare; Maurice Rojas; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; amoeba; coamoeba; discriminant; hypergeometric functions; Mellin transform; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; matematik;

   Sammanfattning : This thesis consists of six chapters. In Chapter 1 we give some historical background to the topic of the thesis together with the fundamental definitions and results that the thesis is based on. In Chapter 2 we study Mellin transforms of rational functions and investigate their analytic continuations. LÄS MER

4. 3. Hypergeometric functions in several complex variables

   Författare :Timour Sadykov; Mikael Passare; Bernd Sturmfels; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Analys;

   Sammanfattning : This thesis deals with hypergeometric functions in several complex variables and systems of partial differential equations of hypergeometric type. One of the main objects of study in the thesis is the so-called Horn system of equations: xiPi(θ)y(x) = Qi(θ)y(x), i = 1, ... LÄS MER

5. 4. On Amoebas and Multidimensional Residues

   Författare :Johannes Lundqvist; Mats Andersson; Martín Sombra; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; amoeba; multidimensional residue; duality principle; effective; uniform; Artin-Rees; Ronkin function; Mathematics; matematik;

   Sammanfattning : This thesis consists of four papers and an introduction. In Paper I we calculate the second order derivatives of the Ronkin function of an affine polynomial in three variables. This gives an expression for the real Monge-Ampére measure associated to the hyperplane amoeba. LÄS MER

7. 5. Structural Models of Network Contacts Between Actors Governed by Activity and Attraction

   Författare :Zhi Geng; Statistiska institutionen; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Directed graph; Ego-nets; EM algorithm; Gibbs sampling; Multinomial distribution; Hypergeometric distribution; Vertex covariates; Clustering coefficient; Taylor expansion;

   Sammanfattning : This thesis consists of five papers on the subject of statistical modeling of stochastic networks. The NG-model proposed in Paper I combines a block structure with parameters that capture the identities of vertices and thus the new approach stresses the concept of ego-nets, which describes the structure around identified vertices. LÄS MER