Central Limit Theorem in View of Subspace Convex-Cyclic Operators [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In our work we have defined an operator called subspace convex-cyclic operator. The property of this newly defined operator relates eigenvalues which have eigenvectors of modulus one with kernels of the operator.
H.M. Hasan +3 more
doaj +3 more sources
Antiunitary Symmetry in Non-Hermitian Dissipative Dynamics and Neutron Scattering
EntropySymmetry transformations are defined by operators in quantum mechanics that preserve the modulus of the scalar product between Hilbert space vectors.
László Deák
doaj +2 more sources
Ensemble forecasts in reproducing kernel Hilbert space family: dynamical systems in Wonderland [PDF]
Physica A: Statistical Mechanics and its Applications, 2022 A methodological framework for ensemble-based estimation and simulation of high dimensional dynamical systems such as the oceanic or atmospheric flows is proposed.
Berenger Hug, É. Mémin, G. Tissot
semanticscholar +1 more source
Global, Unified Representation of Heterogenous Robot Dynamics Using Composition Operators: A Koopman Direct Encoding Method [PDF]
IEEE/ASME transactions on mechatronics, 2022 The dynamic complexity of robots and mechatronic systems often pertains to the hybrid nature of dynamics, where governing equations consist of heterogenous equations that are switched depending on the state of the system.
Harry Asada
semanticscholar +1 more source
The linear dynamics of wave functions in causal fermion systems [PDF]
, 2021 The dynamics of spinorial wave functions in a causal fermion system is studied. A so-called dynamical wave equation is derived. Its solutions form a Hilbert space, whose scalar product is represented by a conserved surface layer integral.
F. Finster, N. Kamran, Marco Oppio
semanticscholar +1 more source
Linear dynamical systems on Hilbert spaces: typical properties and explicit examples [PDF]
, 2017 We solve a number of questions pertaining to the dynamics of linear operators on Hilbert spaces, sometimes by using Baire category arguments and sometimes by constructing explicit examples. In particular, we prove the following results.
S. Grivaux, É. Matheron, Q. Menet
semanticscholar +1 more source
A Thermodynamic Formalism for density matrices in Quantum Information [PDF]
, 2010 We consider new concepts of entropy and pressure for stationary systems acting on density matrices which generalize the usual ones in Ergodic Theory.
Baraviera, A. +3 more
core +2 more sources
Quantum mereology: Factorizing Hilbert space into subsystems with quasiclassical dynamics [PDF]
, 2021 We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any preexisting structure other than a Hamiltonian operator, in particular the case of a bipartite decomposition into “system” and “environment.”
Carroll, Sean M., Singh, Ashmeet
core +3 more sources
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles [PDF]
, 2018 Based on conservation laws for surface layer integrals for minimizers of causal variational principles, it is shown how jet spaces can be endowed with an almost-complex structure.
F. Finster, N. Kamran
semanticscholar +1 more source
On obtaining classical mechanics from quantum mechanics [PDF]
, 2006 Constructing a classical mechanical system associated with a given quantum mechanical one, entails construction of a classical phase space and a corresponding Hamiltonian function from the available quantum structures and a notion of coarser observations.
Ashtekar A +5 more
core +2 more sources