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  1. Classification of Weight Sequences

    In this chapter, we uncover the role of an underlying random walk in the peeling process of random Boltzmann maps. We will study the possible...
    Nicolas Curien in Peeling Random Planar Maps
    Chapter 2023
  2. Weight Modules

    The theory of weight modules over reductive Lie algebras is a well-established branch of representation theory. For root-reductive Lie algebras, the...
    Ivan Penkov, Crystal Hoyt in Classical Lie Algebras at Infinity
    Chapter 2022
  3. Locally harmonic Maass forms of positive even weight

    We twist Zagier’s function f k,D by a sign function and a genus character. Assuming weight 0 < k ≡ 2 (mod 4), and letting D be a positive non-square...

    Article Open access 18 December 2023
  4. Lie Algebroids and Weight Systems

    We put the Rozansky-Witten weight systems obtained from Lie algebroids by Voglaire & Xu, into the general machine provided by Kontsevich in the...
    Cristian Anghel, Dorin Cheptea in Lie Theory and Its Applications in Physics
    Conference paper 2022
  5. On Orlicz classes defined in terms of associated weight functions

    N-functions and their growth and regularity properties are crucial in order to introduce and study Orlicz classes and Orlicz spaces. We consider...

    Gerhard Schindl in Monatshefte für Mathematik
    Article Open access 28 May 2024
  6. Radon–Kipriyanov Transform of Laplace Series by Weight Spherical Functions

    Abstract

    In this paper we consider the Radon–Kipriyanov transform and its relationship with the special Radon transform. The representation of plane...

    V. A. Kalitvin, M. G. Lapshina in Lobachevskii Journal of Mathematics
    Article 01 August 2023
  7. A Negative Weight Pseudotensor Formulation of Coupled Hemitropic Thermoelasticity

    Abstract

    Originating micropolar microrotation vectors and pseudovectors of presumably integer weights is discussed. Overwhelming majority...

    E. V. Murashkin, Y. N. Radayev in Lobachevskii Journal of Mathematics
    Article 01 June 2023
  8. Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices

    We characterize several stability properties, such as inverse or composition closedness, for ultraholomorphic function classes of Roumieu type...

    Javier Jiménez-Garrido, Ignacio Miguel-Cantero, ... Gerhard Schindl in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
    Article Open access 06 April 2024
  9. Crack modeling via minimum-weight surfaces in 3d Voronoi diagrams

    As the number one building material, concrete is of fundamental importance in civil engineering. Understanding its failure mechanisms is essential...

    Christian Jung, Claudia Redenbach in Journal of Mathematics in Industry
    Article Open access 27 November 2023
  10. Refined two weight estimates for the Bergman projection

    We prove sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ball. The first condition is in terms of Orlicz...

    Gianmarco Brocchi in Collectanea Mathematica
    Article 01 November 2023
  11. On Minimal Tilting Complexes in Highest Weight Categories

    We explain the construction of minimal tilting complexes for objects of highest weight categories and we study in detail the minimal tilting...

    Article 22 December 2022
  12. Period-like polynomials for L-series associated with half-integral weight cusp forms

    Given the L -series of a half-integral weight cusp form, we construct polynomials behaving similarly to the classical period polynomial of an integral...

    James Branch, Nikolaos Diamantis, ... Larry Rolen in Research in the Mathematical Sciences
    Article Open access 15 June 2024
  13. A classification of harmonic weak Maaß forms of half-integral weight

    We classify Harish-Chandra modules generated by the pullback to the metaplectic group of harmonic weak Maaß forms with exponential growth allowed at...

    Claudia Alfes-Neumann, Martin Raum in Research in Number Theory
    Article Open access 12 June 2023
  14. Weight Polytopes and Energy Functionals of Toric Varieties

    We prove that the weight polytope of the Hurwitz form of a polarized smooth toric variety coincides with the convex hull of the characteristic...

    Article 16 November 2023
  15. Modular Forms of Non-positive Weight: Exact Formulas and Asymptotics of Their Fourier Coefficients

    In addition to the holomorphic Eisenstein series \( G_{k}(z) \) in (...
    Chapter 2023
  16. Hardy-Type Inequalities for the Jacobi Weight with Applications

    We prove some new Hardy-type inequalities for the Jacobi weight function. The resulting inequalities contain additional terms with the weight...

    R. G. Nasibullin in Siberian Mathematical Journal
    Article 01 November 2022
  17. Off-Diagonal Two Weight Bumps for Fractional Sparse Operators

    In this paper, we continue some recent work on two weight boundedness of sparse operators to the “off-diagonal” setting. We use the new “entropy...

    Article 08 February 2023
  18. Bounded weight modules for basic classical Lie superalgebras at infinity

    Dimitar Grantcharov, Ivan Penkov, Vera Serganova in European Journal of Mathematics
    Article 04 January 2024
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