Sökning: "Ronkin function"

Hittade 4 avhandlingar innehållade orden Ronkin function.

  1. 1. On the topology of the coamoeba

    Författare :Petter Johansson; Håkan Samuelsson; Eva Maria Feichtner; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Coamoeba; Ronkin function; matematik; Mathematics;

    Sammanfattning : In this thesis we study the topology and geometry of the coamoeba of an algebraic variety V. The strategy that we use is to relate the coamoebas corresponding to the initial varieties of V to the coamoeba of V. We also define an analogue of the Ronkin function for the coamoeba and give an explicit formula for it.. LÄS MER

  2. 2. On Amoebas and Multidimensional Residues

    Författare :Johannes Lundqvist; Mats Andersson; Martín Sombra; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; 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

  3. 3. Topics in geometry, analysis and inverse problems

    Författare :Hans Rullgård; Mikael Passare; Victor Palamodov; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Laurent series; Harnack curves; differential equations; tomography; Mathematical logic; Matematisk logik;

    Sammanfattning : The thesis consists of three independent parts.Part I: Polynomial amoebasWe study the amoeba of a polynomial, as de ned by Gelfand, Kapranov and Zelevinsky. A central role in the treatment is played by a certain convex function which is linear in each complement component of the amoeba, which we call the Ronkin function. LÄS MER

  4. 4. Zeros and growth of entire functions of several variables, the complex Monge-Ampère operator and some related topics

    Författare :Yang Xing; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; matematik; Mathematics;

    Sammanfattning : The classical Levin-Pfluger theory of entire functions of completely regular growth (CRG) of finite order p in one variable establishes a relation between the distribution of zeros of an entire function and its growth. The most important and interesting result in this theory is the fundamental principle for CRG functions. LÄS MER