Results 121 to 130 of about 40,823 (186)
Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]
Di Francesco P +4 more
europepmc +1 more source
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
wiley +1 more source
Polynomial Regression on Lie Groups and Application to SE(3). [PDF]
Aubray J, Nicol F.
europepmc +1 more source
Osculating geometry and higher‐order distance Loci
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
Algebraic properties of the maps χ n. [PDF]
Schoone J, Daemen J.
europepmc +1 more source
Non-Linear Observer Design with Laguerre Polynomials. [PDF]
Trigka M, Dritsas E.
europepmc +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source
Gradient Descent Provably Escapes Saddle Points in the Training of Shallow ReLU Networks. [PDF]
Cheridito P, Jentzen A, Rossmannek F.
europepmc +1 more source
Mating parabolic rational maps with Hecke groups
Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett +3 more
wiley +1 more source
Rational maps of balls and their associated groups. [PDF]
Grundmeier D, Lebl J.
europepmc +1 more source

