Results 71 to 80 of about 361,418 (224)
A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold [PDF]
For a compact, smooth C^r orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for finite r \ge 1 and a Frechet manifold if r=infty.
Borzellino, Joseph E., Brunsden, Victor
core +5 more sources
Attractors for an Energy‐Damped Viscoelastic Plate Equation
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso+3 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
The manifold structure of subsets of classical probability distributions and quantum density operators in infinite dimensions is investigated in the context of $C^{*}$-algebras and actions of Banach-Lie groups.
Ciaglia, Florio M.+3 more
core +1 more source
Delayed High Order Sliding Mode Control Using Implicit Lyapunov Function Approach
ABSTRACT This article presents a novel delayed high‐order sliding mode control strategy supported by dedicated mathematical tools. Building on the implicit Lyapunov–Razumikhin function method for establishing accelerated (hyperexponential) stability in time‐delay systems and the design of high‐order sliding mode controls for chain of integrators, we ...
Moussa Labbadi, Denis Efimov
wiley +1 more source
Graphical models for topological groups: A case study on countable Stone spaces
Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman+3 more
wiley +1 more source
Persistence of invariant manifolds for perturbations of semiflows with symmetry
Consider a semiflow in a Banach space, which is invariant under the action of a compact Lie group. Any equilibrium generates a manifold of equilibria under the action of the group.
Chongchun Zeng
doaj
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
Lusternik-Schnirelman theory on Banach manifolds [PDF]
SEVERAL years ago the author, and independently Smale, generalized the Morse theory of critical points to cover certain functions on hilbert manifolds [5,6 and 91. Shortly thereafter J. Schwartz showed how the same techniques allowed one also to extend the LusternikSchnirelman theory of critical points to functions on hilbert manifolds [7].
openaire +1 more source
On Bergman–Toeplitz operators in periodic planar domains
Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley +1 more source