Results 31 to 40 of about 40,373 (225)
Spherical Functions Associated With the Three Dimensional Sphere
, 2013 In this paper, we determine all irreducible spherical functions \Phi of any K -type associated to the pair (G,K)=(\SO(4),\SO(3)). This is accomplished by associating to \Phi a vector valued function H=H(u) of a real variable u, which is analytic at u=0 ...
AJ Durán +31 more
core +1 more source
Some Noncommutative Matrix Algebras Arising in the Bispectral Problem [PDF]
, 2014 I revisit the so called "bispectral problem" introduced in a joint paper with Hans Duistermaat a long time ago, allowing now for the differential operators to have matrix coefficients and for the eigenfunctions, and one of the eigenvalues, to be matrix ...
Grünbaum, F. Alberto
core +5 more sources
Wiener–Hopf factorizations and matrix-valued orthogonal polynomials
Probability and Mathematical PhysicsWe compare two methods for analysing periodic dimer models. These are the matrix-valued orthogonal polynomials approach due to Duits and one of the authors, and the Wiener-Hopf approach due to Berggren and Duits. We establish their equivalence in the special case of the Aztec diamond.
Kuijlaars, Arnoldus, Piorkowski, Mateusz
openaire +3 more sources
Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
Matrix Valued Classical Pairs Related to Compact Gelfand Pairs of Rank One [PDF]
, 2014 We present a method to obtain infinitely many examples of pairs $(W,D)$ consisting of a matrix weight $W$ in one variable and a symmetric second-order differential operator $D$.
Román, Pablo, van Pruijssen, Maarten
core +3 more sources
Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory [PDF]
Annales de l'Institut Fourier, 2005 The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group SU(n) and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients.
Grünbaum, F. Alberto +2 more
openaire +2 more sources
Advanced Robotics Research, EarlyView.This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
wiley +1 more source
An evolution of matrix-valued orthogonal polynomials
Pacific Journal of Mathematics21 pages, 3 ...
Koelink, E. +2 more
openaire +4 more sources
In Situ Characterisation of Hydrogels via Dynamic Interface Printing
Advanced Science, EarlyView.ABSTRACT Hydrogels have become pivotal materials for tissue engineering, robotics, biomedical devices, and sensing applications due to their diverse material compositions and tunable mechanical properties. While significant effort has focused on developing novel manufacturing approaches such as extrusion bioprinting and light‐based fabrication methods,
Callum Vidler +2 more
wiley +1 more source