Sökning: "KTH mathematics"

Visar resultat 1 - 5 av 323 avhandlingar innehållade orden KTH mathematics.

  1. 1. Topological and geometrical methods in data analysis

    Författare :Oliver Gäfvert; Sandra di Rocco; Henry Schenck; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; multiparameter persistent homology; computational algebraic geometry; algorithms; complexity; Mathematics; Matematik;

    Sammanfattning : This thesis concerns two related data analysis pipelines, using topological and geometrical methods respectively, to extract relevant information. The first pipeline, referred to as the topological data analysis (TDA) pipeline, constructs a filtered simplicial complex on a given data set in order to describe its shape. LÄS MER

  2. 2. Harmonic measure on random fractals

    Författare :Dmitri Beliaev; Stanislav Smirnov; Ilia Binder; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; mathematics; 30C85; 31A15; Matematik; MATHEMATICS; MATEMATIK;

    Sammanfattning : .... LÄS MER

  3. 3. A Parameterization of Positive Real Residue Interpolants with McMillan Degree Constraint

    Författare :Yohei Kuroiwa; Anders Lindquist; György Michaletzky; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Optimization; systems theory; Optimeringslära; systemteori;

    Sammanfattning : The main body of this thesis consists of six appended papers.The papers are about the theory of the positive real interpolationwith McMillan degree constraint.In Paper A, a parameterization of the positive real residue interpolantswith McMillan degree constraint is given. LÄS MER

  4. 4. Lower estimates for a number of closed trajectories of generalized billiards

    Författare :Fedor S. Duzhin; Carel Faber; Oleg Viro; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; MATHEMATICS; MATEMATIK;

    Sammanfattning : .... LÄS MER

  5. 5. A Numerical Study of the Lorenz and Lorenz-Stenflo Systems

    Författare :Tommy Ekola; Michael Benedicks; Robert MacKay; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Warwick Tucker; Strange attractor; Lorenz equations; Lorenz-Stenflo equations; Lorenz attractor; Lorenz-Stenflo attractor; Dynamical systems; Normal form theory; MATEMATIK; MATHEMATICS; MATEMATIK;

    Sammanfattning : In 1998 the Swedish mathematician Warwick Tucker used rigorous interval arithmetic and normal form theory to prove the existence of a strange attractor in the Lorenz system. In large parts, that proof consists of computations implemented and performed on a computer. LÄS MER