Results 21 to 30 of about 57 (57)

On multiplicative recurrence along linear patterns

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Donoso, Le, Moreira, and Sun (J. Anal. Math. 149 (2023), 719–761) study sets of recurrence for actions of the multiplicative semigroup (N,×)$(\mathbb {N}, \times)$ and provide some sufficient conditions for sets of the form S={(an+b)/(cn+d):n∈N}$S=\lbrace (an+b)/(cn+d) \colon n \in \mathbb {N}\rbrace $ to be sets of recurrence for such actions.
Dimitrios Charamaras   +2 more
wiley   +1 more source

Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
wiley   +1 more source

2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness

open access: yesFortschritte der Physik, Volume 73, Issue 8, August 2025.
Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley   +1 more source

Hausdorff dimensions of irreducible Markov hom tree‐shifts

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban   +2 more
wiley   +1 more source

Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
wiley   +1 more source

Intrinsic Hopf–Lax formula and Hamilton–Jacobi equation

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1208-1228, April 2025.
Abstract The purpose of this article is to analyze the notion of intrinsic Hopf–Lax formula and its connection with the Hamilton–Jacobi‐type equation.
Daniela Di Donato
wiley   +1 more source

Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink

open access: yesComplexity, Volume 2025, Issue 1, 2025.
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi   +6 more
wiley   +1 more source

Harmonic‐Arithmetic Index: Lower Bound for n‐Order Trees With Fixed Number of Pendant Vertices and Monogenic Semigroup for Graph Operations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Graph theory combined with chemistry provides a strong framework for modeling and assessing chemical compounds. By representing molecules as graphs and applying topological indices, chemists can gain profound insights into the physical and chemical characteristics of compounds.
Kalpana R.   +2 more
wiley   +1 more source

Spectral Decomposition of the Weinstein Laplacian and Its Application to the Associated Heat Transform

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
For the Weinstein Laplacian considered on the Hilbert space which makes it a self‐adjoint operator, the Von Neumann spectral decomposition is given. As applications, a new integral representation for the Weinstein heat kernel is given. Also, it is proved that the spectrum of the semigroup associated with the Weinstein Laplacian is reduced to its ...
Abdelilah El Mourni   +3 more
wiley   +1 more source

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