Existence and a priori estimates for Euclidean Gibbs states
From MaRDI portal
Publication:5297981
DOI10.1090/S0077-1554-07-00158-6zbMath1127.82005OpenAlexW1589562385MaRDI QIDQ5297981
Yuri G. Kondratiev, Sergio A. Albeverio, T. V. Tsykalenko, Michael Roeckner
Publication date: 16 July 2007
Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0077-1554-07-00158-6
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Classical equilibrium statistical mechanics (general) (82B05)
Related Items (6)
Euclidean Gibbs measures on loop lattices: existence and a priori estimates. ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Dobrushin's compactness criterion for Euclidean Gibbs measures ⋮ Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential
Cites Work
- Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states
- Absolute continuity of smooth measures
- On the stochastic quantization of field theory
- Infinite-dimensional diffusion processes as Gibbs measures on \(C[0,1^{Z^ d}\)]
- A covariance estimate for Gibbs measures
- Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
- Stochastic processes associated with KMS states
- The reversible measures of multi-dimensional Ginzburg-Landau type continuum model
- Gibbs measures and phase transitions
- Random fields
- Schwinger functions and their generating functionals. II. Markovian and generalized path space measures on \(\mathcal S'\)
- Étude des champs euclidiens sur un réseau \(\mathbb{Z}^nu\)
- Homogeneous random fields and statistical mechanics
- Differentiable measures and the Malliavin calculus
- Uniqueness of Gibbs states for quantum lattice systems
- Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states
- Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction
- Small mass implies uniqueness of Gibbs states of a quantum crystal
- Gibbs measures relative to Brownian motion
- Uniqueness and clustering properties of Gibbs states for classical and quantum unbounded spin systems.
- Phase transitions for \(\phi_2^4\) quantum fields
- Harmonic oscillators on an Hilbert space: A Gibbsian approach
- Peierls argument and long-range order behavior of quantum lattice systems with unbounded spins
- Small-mass behavior of quantum Gibbs states for lattice models with unbounded spins
- A quantum crystal with multidimensional anharmonic oscillators
- Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
- Gibbs states on space-time
- Euclidean Gibbs measures on loop lattices: existence and a priori estimates.
- A characterization of Gibbs states of lattice boson systems
- Stochastic dynamics for an infinite system of random closed strings: A Gibbsian point of view
- Non-Gaussian analysis and hypergroups
- A priori estimates for symmetrizing measures and their applications to Gibbs states
- PHASE TRANSITION IN THE SEMICLASSICAL REGIME
- Gibbs states on loop lattices: existence and a priori estimates
- A Quasi-Invariance Theorem for Measures on Banach Spaces
- Stationary measures of stochastic gradient systems, infinite lattice models
- L 2 theory for the stochastic Ising model
- Dirichlet forms and diffusion processes on rigged Hilbert spaces
- Unicité de certaines mesures quasi-invariantes sur ${\cal C}(R)$
- Existence and uniqueness of DLR measures for unbounded spin systems
- A-priori estimates and existence of Gibbs measures: a simplified proof
- Reconstruction of Kubo–Martin–Schwinger structure from Euclidean Green functions
- GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS
- KMS, ETC.
- EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS
- A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES
- On the reconstruction of measures from their logarithmic derivatives
- Ergodicity for Infinite Dimensional Systems
- Uniqueness for Gibbs measures of quantum lattices in small mass regime
- Elliptic equations for invariant measures on finite and infinite dimensional manifolds
- The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Existence and a priori estimates for Euclidean Gibbs states