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[null,"1.","Record Nr.",null,"UNINA9910829068403321"]
[null,null,"Autore",null,"Alvarez Olivier <1969->"]
[null,null,"Titolo",null,"Ergodicity, stabilization, and rsingular perturbations for Bellman-Isaacs equations / / Olivier Alvarez, Martino Bardi"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2010"]
[{"$nulls":4},"©2010"]
[null,null,"ISBN",null,"1-4704-0574-1"]
[null,null,"Descrizione fisica",null,"1 online resource (77 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 960"]
[null,null,"Disciplina",null,"515/.353"]
[null,null,"Soggetti",null,"Singular perturbations (Mathematics)"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Differential games"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 204, number 960 (fourth of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Abstract\"\"; \"\"Chapter 1. Introduction and statement of the problem\"\"; \"\"1.1. Introduction\"\"; \"\"1.2. Stochastic differential games and the singular perturbation problem\"\"; \"\"1.3. The Bellman-Isaacs equations\"\"; \"\"Chapter 2. Abstract ergodicity, stabilization, and convergence\"\"; \"\"2.1. Ergodicity and the effective Hamiltonian\"\"; \"\"2.2. Stabilization and the effective terminal cost\"\"; \"\"2.3. The general convergence result\"\"; \"\"Chapter 3. Uncontrolled fast variables and averaging\"\"; \"\"3.1. Ergodicity\"\"; \"\"3.2. Stabilization\"\"; \"\"3.3. Uniform convergence\"\""]
[{"$nulls":4},"\"\"3.4. An explicit formula for the limit control problem\"\"\"\"Chapter 4. Uniformly nondegenerate fast diffusion\"\"; \"\"4.1. Ergodicity\"\"; \"\"4.2. Stabilization\"\"; \"\"4.3. Uniform convergence\"\"; \"\"Chapter 5. Hypoelliptic diffusion of the fast variables\"\"; \"\"5.1. Ergodicity and stabilization\"\"; \"\"5.2. Uniform convergence\"\"; \"\"Chapter 6. Controllable fast variables\"\"; \"\"6.1. Bounded-time controllability and ergodicity\"\"; \"\"6.2. Stabilization and a formula for the effective initial data\"\"; \"\"6.3. An explicit formula for the effective Hamiltonian and the limit differential game\"\""]
[{"$nulls":4},"\"\"6.4. Uniform convergence\"\"\"\"6.5. The reduction order formula for the effective control problem\"\"; \"\"Chapter 7. Nonresonant fast variables\"\"; \"\"7.1. Ergodicity\"\"; \"\"7.2. Stabilization\"\"; \"\"7.3. Uniform convergence\"\"; \"\"Chapter 8. A counterexample to uniform convergence\"\"; \"\"Chapter 9. Applications to homogenization\"\"; \"\"9.1. Periodic homogenization of 1st order H-J equations\"\"; \"\"9.2. Periodic homogenization of 2nd order "]
[{"$nulls":4},"equations\"\"; \"\"Bibliography\"\""]