Results 21 to 30 of about 10,382 (135)
Control of Open Quantum Systems via Dynamical Invariants
Dynamical invariants are used to reverse‐engineer control fields for open quantum systems described by time‐dependent Lindblad master equations. By minimizing an analytic leakage functional, the protocol dynamically steers the state along an effectively decoherence‐free path without costly iterative propagation.
Loris M. Cangemi +4 more
wiley +1 more source
Jordan homomorphisms and T‐ideals
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley +1 more source
Shift-invariant measures on infinite-dimensional spaces: Integrable functions and random walks
Averaging of random shift operators on a space of the square integrable by shift-invariant measure complex-valued functions on linear topological spaces has been studied. The case of the l∞ space has been considered as an example.
V.Zh. Sakbaev, D.V. Zavadsky
doaj
Covariant Mehler semigroups in Hilbert space [PDF]
We find necessary and sufficient conditions for a generalised Mehler semigroup to be covariant under the action of a locally compact group. These are then applied to implement "noise reduction" for Hilbert-space valued Ornstein - Uhlenbeck processes ...
Applebaum, D.
core
Generation of subordinated holomorphic semigroups via Yosida's theorem
Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
core +1 more source
Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
wiley +1 more source
Semigroups of finite-dimensional random projections [PDF]
In this paper we present a complete description of a stochastic semigroup of finite-dimensional projections in Hilbert space. The geometry of such semigroups is characterized by the asymptotic behavior of the widths of compact subsets with respect to the
Dorogovtsev, Andrey A.
core
Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra +2 more
wiley +1 more source
Some Properties of Hyper Ideals in Hyper Hoop‐Algebras
In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu +5 more
wiley +1 more source
Frequently hypercyclic abstract higher-order differential equations [PDF]
In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces.
Chaouchi, Belkacem, Kostic, Marko
core +1 more source

