On `maximal' poles of zeta functions, roots of b-functions and monodromy Jordan blocks [PDF]
The main objects of study in this paper are the poles of several local zeta functions: the Igusa, topological and motivic zeta function associated to a polynomial or (germ of) holomorphic function in n variables.
A. Melle-Hernández +21 more
core +5 more sources
Approximation and geometric modeling with simplex B-splines associated with irregular triangles [PDF]
Bivariate quadratic simplical B-splines defined by their corresponding set of knots derived from a (suboptimal) constrained Delaunay triangulation of the domain are employed to obtain a C1-smooth surface.
Auerbach, S. +4 more
core +3 more sources
Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties [PDF]
We will exhibit a group of symmetries of the simply-laced quantum connections, generalising the quantum/Howe duality relating KZ and the Casimir connection.
Rembado, Gabriele
core +5 more sources
A potential theoretic minimax problem on the torus [PDF]
We investigate an extension of an equilibrium-type result, conjectured by Ambrus, Ball and Erd\'elyi, and proved recently by Hardin, Kendall and Saff.
Farkas, Bálint +2 more
core +5 more sources
The Hodge theory of Soergel bimodules [PDF]
We prove Soergel's conjecture on the characters of indecomposable Soergel bimodules. We deduce that Kazhdan-Lusztig polynomials have positive coefficients for arbitrary Coxeter systems.
Elias, Ben, Williamson, Geordie
core +1 more source
A Note on Degenerate Bernstein and Degenerate Euler Polynomials
In this paper, we investigate the recently introduced degenerate Bernstein polynomials and operators and derive some of their properties. Also, we give some properties of the degenerate Euler numbers and polynomials and their connection with the degenerate Euler polynomials.
Kim, Taekyun, Kim, Dae San
openaire +2 more sources
Drinfeld Functor and Finite-Dimensional Representations of Yangian
We extend the results of Drinfeld on Drinfeld functor to the case l>n. We present the character of finite-dimensional representations of the Yangian Y(sl_n) in terms of the Kazhdan-Lusztig polynomials as a consequence.Comment: Latex2e, 17pages, corrected
Arakawa, Tomoyuki
core +1 more source
Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations
ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin +3 more
wiley +1 more source
Systematic Errors in Future Weak Lensing Surveys: Requirements and Prospects for Self-Calibration
We study the impact of systematic errors on planned weak lensing surveys and compute the requirements on their contributions so that they are not a dominant source of the cosmological parameter error budget.
B. Jain +5 more
core +1 more source
Exploring Asymptotic Normality in Multinomial Models
ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes +3 more
wiley +1 more source

