Results 51 to 60 of about 1,449 (232)

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

Fortschritte 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

On the Replica Symmetric Solution in General Diluted Spin Glasses

Random Structures &Algorithms, Volume 66, Issue 4, July 2025.
ABSTRACT We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random p$$ p $$‐uniform hypergraphs with sparsity parameter α$$ \alpha $$. Our result shows that there exist two key regimes in which the model exhibits replica symmetry and the free energy can be explicitly represented as the ...
Ratul Biswas, Wei‐Kuo Chen, Arnab Sen
wiley   +1 more source

Lattice Ordering on Banach Spaces [PDF]

Proceedings of the American Mathematical Society, 1952
the American Mathematical Society vol. 3 (1952) pp. 821-828. 2. Nils Sjoberg, Sur les minorantes sousharmoniques d'une fonction donnee, Proceedings of the Ninth Scandanavian Mathematical Congress, Helsingfors, 1938, pp. 309-319. 3. Marcel Brelot, Minorantes sous-harmoniques, extremales et capacites, J. Math. Pures Appl. (9) vol. 24 (1945) pp. 1-32.
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Quantitative expansivity for ergodic Zd$\mathbb {Z}^d$‐actions

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We study expansiveness properties of positive measure subsets of ergodic Zd$\mathbb {Z}^d$‐actions along two different types of structured subsets of Zd$\mathbb {Z}^d$, namely, cyclic subgroups and images of integer polynomials. We prove quantitative expansiveness properties in both cases, strengthening combinatorial results from two distinct ...
Alexander Fish, Sean Skinner
wiley   +1 more source

Multiple solutions for fourth order $m$-point boundary value problems with sign-changing nonlinearity

Electronic Journal of Qualitative Theory of Differential Equations, 2010
Using a fixed point theorem in ordered Banach spaces with lattice structure founded by Liu and Sun, this paper investigates the multiplicity of nontrivial solutions for fourth order $m$-point boundary value problems with sign-changing nonlinearity.
Haitao Li, Yansheng Liu
doaj   +1 more source

Weak precompactness in Banach lattices [PDF]

, 2022
Xiang Bo, Jinxi Chen, Lei Li
openalex   +1 more source

Substitutions on compact alphabets

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley   +1 more source

Monotone gradients on Banach lattices [PDF]

Proceedings of the American Mathematical Society, 1986
It is well known that a differentiable real valued function on the real line is convex iff its derivative is nondecreasing. This characterization of differentiable convex functions does not extend if the domain of the function is a Banach lattice of dim ⩾ 2 \dim \geqslant 2 .
openaire   +2 more sources

Lipschitz decompositions of domains with bilaterally flat boundaries

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
wiley   +1 more source

Asymptotics of block Toeplitz determinants with piecewise continuous symbols

Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.
Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor, Torsten Ehrhardt, Jani A. Virtanen   +2 more
wiley   +1 more source