Results 21 to 30 of about 2,851 (69)
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
Hypergroups and Hypergroup Algebras [PDF]
, 2011 The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
core
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
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
wiley +1 more source
Laplace operators on differential forms over configuration spaces
, 2002 Spaces of differential forms over configuration spaces with Poisson measures are constructed. The corresponding Laplacians (of Bochner and de Rham type) on forms and associated semigroups are considered.
Albeverio +22 more
core +1 more source
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
wiley +1 more source
The Relation of Spatial and Tensor Product of Arveson Systems --- The Random Set Point of View [PDF]
, 2014 We characterise the embedding of the spatial product of two Arveson systems into their tensor product using the random set technique. An important implication is that the spatial tensor product does not depend on the choice of the reference units, i.e ...
Liebscher, Volkmar
core
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