On the unit group of Z-orders in finite dimensional algebras
Probabilistic and algebraic aspects of smooth dynamical systems
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH QUADRATIC GROW...
| Author(s): |
Inglis, James
;
Papageorgiou, Ioannis
[1]
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Neuromat, Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Markov Processes and Related Fields; v. 25, n. 5, p. 879-897, 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We focus on the log-Sobolev inequality for spin systems on the lattice with interactions of higher order than quadratic. We show that if the one-dimensional single-site measure with boundaries satisfies the log-Sobolev inequality uniformly in the boundary conditions then the infinite-dimensional Gibbs measure also satisfies the inequality under appropriate conditions on the phase and the interactions. Our result can be applied to spin spaces being nilpotent Lie groups on R-n. (AU) | |
| FAPESP's process: | 17/15587-8 - Stochastic dynamics of neural networks |
| Grantee: | Ioannis Papageorgiou |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat |
| Grantee: | Oswaldo Baffa Filho |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |