Research Seminar Analysis

December

• Felix Bartel (TU Chemnitz)
  Exact \(L_2\) Marcinkiewicz-Zygmund inequalities

November

• Sergey Tikhonov (ICREA, CRM Barcelona)
  Marcinkiewicz–Zygmund inequalities in Banach spaces
• Maik Schwuchow & Prof. Angela Thränhardt (TU Chemnitz)
  Monte-Carlo simulation of particle hopping and recombination
• Felix Bartel (TU Chemnitz)
  Sampling recovery in Bochner spaces and applications to parametric PDEs with random inputs

October

• Carlos Peon Nieto
  Kerr-de Sitter-like Metrics: Structure and Characterization Results

July

• Malte Kampschulte (Charles-University Prague)
  Limits of invertible Sobolev functions: Links, currents and their convergence
• Erich Kobler (Universitätsklinikum Bonn)
  Learning Gradually Non-convex Image Priors Using Score Matching
• Peter Mathé (Weierstraß Institute for Applied Analysis and Stochastics)
  Tractability of linear ill-posed problems in Hilbert space
• Simon Blatt (Paris Lodron University of Salzburg)
  Analyticity of Solutions to Fractional Partial Differential Equations

June

• Henrik Schumacher (TU Chemnitz/University of Georgia)
  CoBarS: Fast reweighted sampling for polygon spaces in any dimension

March

• Andrew Haar (University of Bonn)
  A Spline Frame Characterization for Sobolev Spaces
• Ian Sloan (UNSW Australia)
  High dimensional approximation – making life easy with kernels

February

• Holger Langenau (TU Chemnitz/WH Zwickau)
  A brief introduction to Markov-type inequalities with mixed norms

December

• Kai Lüttgen (TU Chemnitz)
  Two Methods of Periodisation for Functions of Dominating Mixed Smoothness
• Henrik Schumacher (TU Chemnitz/University of Georgia)
  Geodesically complete Riemannian metrics on the space of embedded curves

November

• Tino Ullrich (TU Chemnitz)
  Hyperbolic Cross Approximation
• Felix Bartel (TU Chemnitz)
  Least Squares in Sampling Complexity and Statistical Learning

October

• Stefan Heinrich (RPTU Kaiserslautern)
  Quantum computing for numerical problems - algorithms and complexity theory
• Tizian Sommerfeld (TU Chemnitz)
  An improved approach to spectral sparsification

August

• Claus Ernst (Western Kentucky University)
  Rational tangles, two bridge knots and links, and Montesinos knots and links

July

• Reinhold Schneider (TU Berlin)
  Deep Barron Classes

June

• Daniel Christopher Kreuter & Uwe Iben (Robert Bosch GmbH)
  Applied Mathematics at Bosch Research

May

• Akram Sharif (TU Dresden)
  Mathematical foundations of contact interactions in continuum physics
• Jeremias Piljug (TU Chemnitz)
  Hyperbolic Wavelet Regression with Daubechies Wavelets

March

• Moritz Moeller (TU Chemnitz)
  Gelfand numbers and best m-term trigonometric approximation for weighted mixed Wiener classes in \(L_{2}\)
• Pascal Schröter (TU Chemnitz)
  Hochdimensionale Approximation mit teilweise periodischen Randbedingungen
• Robert Skiba (Nicolaus Copernicus University Toruń)
  How can the topological degree help to solve ordinary differential equations?

February

• Axel Wings (RWTH Aachen)
  Tangent-point energies in arbitrary dimensions and symmetric critical surfaces
• Daniel Steenebrügge (RWTH Aachen)
  Working towards a refined mountain pass theorem applicable to geometric energies

January

• Mathias Sonnleitner (Universität Passau)
  Numerical Integration and Approximation on the Sphere
• Bernd Käßemodel (TU Chemnitz)
  Quantum Summation and Complexity

December

• Nicolas Nagel (TU Chemnitz)
  Discrepancy of permutations
• Thomas Jahn (Catholic University of Eichstätt-Ingolstadt)
  Sampling numbers of smoothness classes via \(\ell^1\)-minimization

November

• Bernd Käßemodel (TU Chemnitz)
  Basics of Quantum Computing
• Marius Müller (Albert-Ludwigs-Universität Freiburg)
  Embeddedness-breaking of elastic flows

July

• Moritz Moeller (TU Chemnitz)
  Norm-concentration results for infinite random matrices with independent rows

May

• Laura Lippert (TU Chemnitz)
  Transformations of functions and weighted function spaces
• Moritz Moeller (TU Chemnitz)
  Batson-Spielman-Srivastava-Subsampling
• Michael Gnewuch (Universität Osnabrück)
  Approximation problems on Hermite spaces and spaces of Gaussian kernels
• Michael Schmischke (TU Chemnitz)
  Interpretable Approximation of High-Dimensional Data based on the ANOVA Decomposition
• Yuri Malykhin (Steklov Mathematical Institute)
  Widths and ridigity
• Rhoslyn Coles (Universität Potsdam)
  Knotted and linked curves through the shape of their tubular neighbourhoods

April

• Moritz Moeller (TU Chemnitz)
  Gelfand numbers and best m-term trigonometric approximation for weighted mixed Wiener classes in \(L_{2}\)
• Stefan Krömer (UTIA Praha)
  Injective elastic deformations via surface penalty terms
• Kai Lüttgen (TU Chemnitz)
  Connections between the Faber–Schauder system and the half-period cosine basis in the context of Besov spaces

February

• Frank Filbir (TU München, Helmholtz-Zentrum München)
  Shift Invariant Spaces Related to the Special Affine Fourier Transform
• Henning Kempka (Ernst-Abbe-Hochschule Jena)
  On the regularity of Brownian motion
• Lina Bohse (TU Chemnitz)
  Vortrag zum Betriebspraktikum bei axilaris GmbH

July

• Alois Pichler (TU Chemnitz)
  From random fields to RKHS: kernel regression in RKHS norm

June

• Jeremias Piljug (TU Chemnitz)
  Hoch-Dimensionale ANOVA Approximation in Anwendungen

May

• Matthieu Dolbeault (Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris)
  Optimal \(L^{2}\) approximation through weighted least squares

April

• Lea Bach (TU Chemnitz)
  Downsampling von zufälligen Fouriermatrizen

March

• Michael Quellmalz (TU Berlin)
  Fourier reconstruction in diffraction tomography with an arbitrary rotated object
• Fabian Taubert (TU Chemnitz)
  A uniform sparse FFT approach on differential equations with random coefficients

February

• Stefan Kunis (Universität Osnabrück)
  Super-resolution of points and curves

January

• Thomas Jahn (TU Chemnitz)
  Explicit and implicit methods for surface reconstruction

December

• Martin Schäfer (TU Chemnitz)
  Signal Recovery from Random Samples
• Fabian Taubert (TU Chemnitz)
  Dimension-incremental Sparse FFT-rank-1 Lattice Sampling Strategies in Comparison

November

• Steven Doempke (SIGMA Gesellschaft für Systementwicklung und Datenverarbeitung mbH, Chemnitz)
  Positionsbestimmung mit Deep Learning und UHF RFID
• Kai Lüttgen (Universität Siegen)
  Stabilitätsanalyse einer 3-Punkt-Waveletbasis
• Carmela Loiti Azcue
  Stability of dynamic systems and applications in epidemiology through the basic reproduction number

October

• Theresa Wagner (TU Chemnitz)
  Fast Matrix-Vector Multiplication for the ANOVA Kernel

September

• Nicolas Nagel (TU Chemnitz)
  On the Kadison-Singer Problem and Weaver's Conjecture with Implications for Fourier Systems over Unbounded Sets

July

• Nicolas Nagel (TU Chemnitz)
  On the Kadison-Singer Problem and Anderson's Paving Conjecture with implications for well-conditioned Fourier matrices
• Carsten Schubert (TU Chemnitz)
  Discussion of Matrix Pencil Method within stability analysis of rotordynamical systems using Floquet analysis

June

• Thomas Jahn (TU Chemnitz)
  A modern look at some classical inequalities
• Moritz Moeller (TU Chemnitz)
  Novel spectral norm concentration results for random trace class operators and the recovery of RKHS-functions from n random samples

January

• Laura Lippert (TU Chemnitz)
  Projektionsbasierte Quasiinterpolation in Mannigfaltigkeiten
• Nicolas Nagel (TU Chemnitz)
  Numerische Untersuchungen zur Kondition von Fouriermatrizen
• Craig Gross (Michigan State University)
  Applications of compressive sensing and high-dimensional function approximation in uncertainty quantification

December

• Christoph Robisch (TU Chemnitz)
  Iteration neu-gewichteter kleinster Quadrate zur Lösung der inversen nicht-äquidistanten schnellen Fourier-Transformation

July

• Philipp Werner (FAU Erlangen)
  PDEs modelling cell blebbing with membrane-cortex interaction through linker proteins

June

• Kristóf Szarvas (Budapest)
  Lebesgue spaces with variable exponent and applications
• Incoronata Notarangelo (Potenza, Italy)
  Truncated Gaussian and product quadrature rules
• Incoronata Notarangelo (Potenza, Italy)
  Application of truncated quadrature rules to the numerical solution of integral equations
• Greta Marino (TU Chemnitz)
  A-priori estimates for some classes of elliptic problems

May

• Martin Schäfer (TU Berlin)
  The Framework of Alpha-Molecules
• Carina Geldhauser (TU Dresden)
  Discrete models for atmospheric turbulence
• Kateryna Pozharska (NAS Ukraine)
  Entropy numbers and best approximations of classes of periodic multivariate functions

April

• Anna Doležalová (Charles University, Praha)
  Volumes of unit balls of Lorentz spaces
• Christian Gerhards (TU Freiberg)
  Inverse Problems in Geomagnetism and Vector Field Decompositions on the Sphere