Results 41 to 50 of about 10,159 (123)
A Choquet theory of Lipschitz‐free spaces
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley +1 more source
Property (T) and rigidity for actions on Banach spaces
We study property (T) and the fixed point property for actions on $L^p$ and other Banach spaces. We show that property (T) holds when $L^2$ is replaced by $L^p$ (and even a subspace/quotient of $L^p$), and that in fact it is independent of $1\leq ...
A. Connes +59 more
core +3 more sources
ABSTRACT We study the closeness between the Ablowitz–Ladik, Salerno, and discrete nonlinear Schrödinger lattices in regimes of small coupling ε$\varepsilon$ and small energy norm ρ$\rho$. Two approaches are compared: direct estimates in physical variables and a transformation to canonical symplectic coordinates via Darboux variables.
Marco Calabrese +2 more
wiley +1 more source
$p$-adic Hodge theory in rigid analytic families
We study the functors $\D_{\B_\ast}(V)$, where $\B_\ast$ is one of Fontaine's period rings and $V$ is a family of Galois representations with coefficients in an affinoid algebra $A$.
Bellovin, Rebecca
core +1 more source
Free Banach lattices over pre-ordered Banach spaces
Major revison 36 ...
de Jeu, Marcel, Jiang, Xingni
openaire +2 more sources
Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari +2 more
wiley +1 more source
2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
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
Strictly convex norms and topology
We introduce a new topological property called (*) and the corresponding class of topological spaces, which includes spaces with $G_\delta$-diagonals and Gruenhage spaces.
Orihuela, José +2 more
core +1 more source
On the Replica Symmetric Solution in General Diluted Spin Glasses
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
Banach lattices with upper p-estimates: free and injective objects
Abstract We study the free Banach lattice $$\textrm{FBL}^{(p,\infty )}[E]$$ FBL ( p , ∞ )
E. García-Sánchez +3 more
openaire +3 more sources

