Asymptotic behaviour of time-inhomogeneous evolutions on von Neumann algebras
DOI10.2977/prims/1195166577zbMath0795.46046OpenAlexW2059650387MaRDI QIDQ1318890
Alberto Frigerio, Gabriele Grillo
Publication date: 3 May 1994
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195166577
spectral gap\(C^*\)-algebrasrelative Hamiltoniansfaithful normal invariant statedynamical maps of a von Neumann algebraGNS spacenon- normal states
Ergodic theory of linear operators (47A35) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimization by Simulated Annealing
- Simulated annealing and quantum detailed balance
- Strongly positive semigroups and faithful invariant states
- Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
- Geometric bounds for eigenvalues of Markov chains
- Relative Hamiltonians which are not bounded from above
- Simulated annealing via Sobolev inequalities
- Estimation and annealing for Gibbsian fields
- Ergodic theorems for dynamical semi-groups on operator algebras
- Long-time asymptotic properties of dynamical semigroups on W*-algebras
- Conditional expectations in von Neumann algebras and a theorem of Takesaki
- The logarithmic Sobolev inequality for continuous spin systems on a lattice
- Quantum detailed balance and KMS condition
- Some semigroups of completely positive maps on the CCR algebra
- Frobenius theory for positive maps of von Neumann algebras
- Stationary states of quantum dynamical semigroups
- Simulated annealing with time-dependent energy function
- Relative Hamiltonian for faithful normal states of a von Neumann algebra
- Lebesgue Decomposition of States on a Von Neumann Algebra
- Cooling Schedules for Optimal Annealing
- Logarithmic Sobolev inequalities and Langevin algorithms inRn
This page was built for publication: Asymptotic behaviour of time-inhomogeneous evolutions on von Neumann algebras
