Results 31 to 40 of about 792 (81)
Factor Complexity of S-adic sequences generated by the Arnoux-Rauzy-Poincar\'e Algorithm [PDF]
The Arnoux-Rauzy-Poincar\'e multidimensional continued fraction algorithm is obtained by combining the Arnoux-Rauzy and Poincar\'e algorithms. It is a generalized Euclidean algorithm.
Berthé, Valérie, Labbé, Sébastien
core +1 more source
Substitutions and their Generalisations
Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
wiley +1 more source
On polynomials of Sheffer type arising from a Cauchy problem
A new sequence of eigenfunctions is developed and studied in depth. These theta polynomials are derived from a recent analytic solution of the canonical Cauchy problem for parabolic equations, namely, the inverse heat conduction problem. By appealing to the methods of the operator calculus, it is possible to categorize the new functions as polynomials ...
D. G. Meredith
wiley +1 more source
The Schr\"odinger-Coulomb Sturmian problem in $\mathbb{R}^{N}$, $N\geqslant2$, is considered in the momentum representation. An integral formula for the Gegenbauer polynomials, found recently by Cohl [arXiv:1105.2735], is used to separate out angular ...
Aldrovandi +26 more
core +1 more source
Picone identities for half-linear elliptic operators with p(x)-Laplacians and applications to Sturmian comparison theory [PDF]
Picone identities are established for a class of half-linear elliptic operators with p(x)-Laplacians, and Sturmian comparison theorems are obtained on the basis of the Picone identities.
Yoshida Norio
core +2 more sources
Sturmian theorems for systems of differential equations
Two Sturmian theorems are established for second order linear nonhomogeneous systems of two differential equations with the use of a maximum principle. The results also hold for homogeneous systems. For illustration, an example is given.
C. Y. Chan
wiley +1 more source
Free profinite locally idempotent and locally commutative semigroups [PDF]
This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of finite locally idempotent and locally commutative semigroups.
Almeida +21 more
core +1 more source
Comparison theorems for ultrahyperbolic equations
Sturmian comparison theorems are obtained for solutions of a class of normal and singular ultrahyperbolic partial differential equations. In the singular case, solutions are considered which satisfy non‐standard boundary conditions.
C. C. Travis, E. C. Young
wiley +1 more source
The bifurcation locus for numbers of bounded type
We define a family B(t) of compact subsets of the unit interval which generalizes the sets of numbers whose continued fraction expansion has bounded digits. We study how the set B(t) changes as one moves the parameter t, and see that the family undergoes
Carminati, Carlo, Tiozzo, Giulio
core +1 more source
Generalized Picone's identity and its applications
In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj

