Convergence and combinatorics of the Reverse algorithm
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito +2 more
wiley +1 more source
Scoliosis deformity reduction in adults: a CBP® Mirror Image® case series incorporating the 'non-commutative property of finite rotation angles under addition' in five patients with lumbar and thoraco-lumbar scoliosis. [PDF]
Harrison DE, Oakley PA.
europepmc +1 more source
Division properties of commuting polynomials
Polynomials commute under composition are referred to as commuting polynomials. In this paper, we study division properties for commuting polynomials with rational (and integer) coefficients. As a consequence, we show an algebraic particularity of the commuting polynomials coming from weighted sums for cycle graphs with pendant edges (arXiv:2402 ...
Hasegawa, Kimiko, Sugiyama, Rin
openaire +2 more sources
On the chain of commuting operators on Banach spaces
Abstract An operator T$T$ on a Banach space is said to be of chain N$N$ if there exist non‐scalar operators S1,⋯,SN−1$S_1,\dots,S_{N-1}$ and a non‐zero compact operator K$K$ such that T↔S1↔S2↔⋯↔SN−1↔K,$$\begin{equation*} T \leftrightarrow S_1 \leftrightarrow S_2 \leftrightarrow \dots \leftrightarrow S_{N-1} \leftrightarrow K, \end{equation*}$$where A↔B$
Tomasz Szczepanski
wiley +1 more source
When weak convergence in von Neumann algebras implies almost uniform convergence?
Abstract We show that weak sequential convergence in a semifinite von Neumann algebra M$\mathcal {M}$ equipped with a faithful normal semifinite trace τ$\tau$ implies almost uniform convergence if and only if M$\mathcal {M}$ is of type Ifin$\mathrm{I}_{\rm fin}$ with τ(1)<∞;$\tau (\mathbf {1})<\infty;$ and that weak sequential convergence in a finite ...
Yerlan Nessipbayev +2 more
wiley +1 more source
Other title: Comparison of Assessed Value, Property Taxes Levied and Mill Levies
application/pdf; Cover title.; "05/13/2004.
Kansas. Division of Property Valuation. Abstract Section.
core
On tested Bousfield–Friedlander localizations
Abstract We show that a Bousfield–Friedlander localization of a model category of functors with respect to a set of test morphisms, as introduced by Bandklayder, Bergner, Griffiths, Johnson and Santhanam, can be characterized as a left Bousfield localization at a specific tensoring of the set of homotopy generators.
Niall Taggart
wiley +1 more source
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
Modular analogs of character formulas and minimal lifts of modular forms
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
A Model Structure on the Category of A ∞ -Categories with Strict Morphisms. [PDF]
Ornaghi M.
europepmc +1 more source

