Results 21 to 30 of about 1,883 (63)
Hypergroup Deformations of Semigroups
, 2018 We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set $\mathbb{Z}_+$
Kumar, Vishvesh +2 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
wiley +1 more source
, 2016 This paper has three parts. First, we study and characterize amenable and extremely amenable topological semigroups in terms of invariant measures using integral logic.
Khanaki, Karim
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Substitutions and their Generalisations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.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
Connes-amenability of bidual and weighted semigroup algebras
, 2005 We investigate the notion of Connes-amenability for dual Banach algebras, as introduced by Runde, for bidual algebras and weighted semigroup algebras. We provide some simplifications to the notion of a $\sigma WC$-virtual diagonal, as introduced by Runde,
Daws, Matthew
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The Calogero–Moser derivative nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 4008-4062, October 2024.Abstract We study the Calogero–Moser derivative nonlinear Schrödinger NLS equation i∂tu+∂xxu+(D+|D|)(|u|2)u=0$$\begin{equation*} i\partial _t u +\partial _{xx} u + (D+|D|)(|u|^2) u =0 \end{equation*}$$posed on the Hardy–Sobolev space H+s(R)$H^s_+(\mathbb {R})$ with suitable s>0$s>0$.
Patrick Gérard, Enno Lenzmann
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Formalising the role of behaviour in neuroscience
European Journal of Neuroscience, Volume 60, Issue 5, Page 4756-4770, September 2024.We develop a mathematical framework for converting the space of all possible behaviours (left) into a representational theory (right, in this case, a map) that is necessarily represented neurally. Our approach formalises the notion of representation and uses only observed behaviour to formally infer structural relationships between representations ...
Steven T. Piantadosi +1 more
wiley +1 more source
Local limits in p$p$‐adic random matrix theory
Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.Abstract We study the distribution of singular numbers of products of certain classes of p$p$‐adic random matrices, as both the matrix size and number of products go to ∞$\infty$ simultaneously. In this limit, we prove convergence of the local statistics to a new random point configuration on Z$\mathbb {Z}$, defined explicitly in terms of certain ...
Roger Van Peski
wiley +1 more source
On noncommutative distributional Khintchine type inequalities
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
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On the diameter of semigroups of transformations and partitions
Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.Abstract For a semigroup S$S$ whose universal right congruence is finitely generated (or, equivalently, a semigroup satisfying the homological finiteness property of being type right‐FP1$FP_1$), the right diameter of S$S$ is a parameter that expresses how ‘far apart’ elements of S$S$ can be from each other, in a certain sense.
James East +4 more
wiley +1 more source