Sökning: "second quantization"

Visar resultat 1 - 5 av 49 avhandlingar innehållade orden second quantization.

1. 1. Topics in Computational Algebraic Geometry and Deformation Quantization

   Författare :Christine Jost; Sandra Di Rocco; Boris Shapiro; Gregory G. Smith; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Segre classes; Chern-Schwartz-MacPherson classes; topological Euler characteristic; computational algebraic geometry; numerical algebraic geometry; numerical homotopy methods; deformation quantization; polyvector fields; Fedosov quantization; Grothendieck-Teichmüller group; Mathematics; matematik;

   Sammanfattning : This thesis consists of two parts, a first part on computations in algebraic geometry, and a second part on deformation quantization. More specifically, it is a collection of four papers. In the papers I, II and III, we present algorithms and an implementation for the computation of degrees of characteristic classes in algebraic geometry. LÄS MER

3. 2. Wheeled Operads in Algebra, Geometry, and Quantization

   Författare :Johan Granåker; Sergei A. Merkulov; Andrey Lazarev; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; operads; deformation theory; homotopy algebra; deformation quantization; MATHEMATICS; MATEMATIK; Mathematics; matematik;

   Sammanfattning : The theory of generalized operads, the foundational conceptual framework of this thesis, has become a universal language, relating various areas such as algebraic topology, derived categories of algebras, deformation theory, differential geometry and the mathematical theory of quantization.The thesis consists of a preliminary chapter followed by four main chapters. LÄS MER

4. 3. On Robust LPC-spectrum Coding and Vector Quantization

   Författare :Roar Hagen; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; robustness against channel noise; LPC-spectrum coding; vector quantization; speech coding; linear mapping of a block code;

   Sammanfattning : Digital speech coding is concerned with representing a discrete-time speech signal with as few bits per second as possible without introducing annoying artifacts in the coded speech. Many modern speech coders are based on Linear Predictive Coding (LPC) which employ a source-filter model for speech production. LÄS MER

5. 4. Configuration spaces, props and wheel-free deformation quantization

   Författare :Theo Backman; Sergei Merkulov; Sergei Shadrin; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; operad; properad; prop; deformation quantization; configuration space; Lie bialgebra; Poisson manifold; Mathematics; matematik;

   Sammanfattning : The main theme of this thesis is higher algebraic structures that come from operads and props.The first chapter is an introduction to the mathematical framework needed for the content of this thesis. The chapter does not contain any new results. LÄS MER

7. 5. Geometric Discretization in Shape analysis

   Författare :Erik Jansson; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; compressible fluids; diffeomorphisms; residual neural networks; quantization; machine learning; Shape analysis;

   Sammanfattning : Discretizations in shape analysis is the main theme of this licentiate thesis, which comprises two papers.  The first paper considers  the problem of finding a parameterized time-dependent vector field that warps an initial set of points to a target set of points. LÄS MER