Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis
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Publication:6196936
DOI10.1007/978-3-031-14031-0_10OpenAlexW4362503600MaRDI QIDQ6196936
No author found.
Publication date: 15 March 2024
Published in: Quantum and Stochastic Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-14031-0_10
Random fields (60G60) Diffusion processes (60J60) Quantum equilibrium statistical mechanics (general) (82B10) Measures and integration on abstract linear spaces (46G12) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)
Cites Work
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- Étude des champs euclidiens sur un réseau \(\mathbb{Z}^nu\)
- Homogeneous random fields and statistical mechanics
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- Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction
- Small mass implies uniqueness of Gibbs states of a quantum crystal
- Application of log-Sobolev inequality to the stochastic dynamics of unbounded spin systems on the lattice
- Ground state Euclidean measures for quantum lattice systems on compact manifolds.
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- Stochastic differential equations in a scale of Hilbert spaces
- Non-equilibrium particle dynamics with unbounded number of interacting neighbors
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- Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
- Gibbs states of a quantum crystal: Uniqueness by small particle mass
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- Dirichlet operators via stochastic analysis
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- Superstable interactions in classical statistical mechanics
- Gibbs states on loop lattices: existence and a priori estimates
- PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS
- STOCHASTIC EQUATIONS AND DIRICHLET OPERATORS ON INFINITE PRODUCT MANIFOLDS
- Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness
- Gibbs states on random configurations
- Phase transitions in continuum ferromagnets with unbounded spins
- PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS
- L 2 theory for the stochastic Ising model
- Dirichlet forms and diffusion processes on rigged Hilbert spaces
- On uniqueness of invariant measures for finite- and infinite-dimensional diffusions
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- Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds
- Uniqueness of Gibbs states on loop lattices
- GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS
- EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS
- A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES
- STOCHASTIC EQUATIONS AND QUASI-INVARIANCE ON INFINITE PRODUCT GROUPS
- An Introduction to the Theory of Point Processes
- Stochastic dynamics for quantum lattice systems and stochastic quantization I: Ergodicity.
- GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH
- Gibbs Random Fields with Unbounded Spins on Unbounded Degree Graphs
- Existence and a priori estimates for Euclidean Gibbs states
- Statistical Mechanics of Disordered Systems
- Prescribing a System of Random Variables by Conditional Distributions
- Uniqueness for Gibbs measures of quantum lattices in small mass regime
- Stochastic dynamics of compact spins: ergodicity and irreducibility
- Elliptic equations for measures on infinite dimensional spaces and applications
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