Exercises in probability : a guided tour from measure theory to random processes, via conditioning / Loïc Chaumont, Marc Yor

• Record Nr.: UNISALENTO991002609259707536
• Autore: Chaumont, Loïc
• Pubbl/distr/stampa: Cambridge ; New York : Cambridge University Press, 2012
• ISBN: 9781107606555 (pbk.); 1107606551 (pbk.)
• Edizione: [2nd ed.]
• Descrizione fisica: xx, 279 p. ; 27 cm
• Collana: Cambridge series in statistical and probabilistic mathematics
• Classificazione: AMS 60-01; LC QA273.25.C492
• Altri autori (Persone): Yor, Marcauthor
• Disciplina: 519.2
• Soggetti: Probabilities; Probabilities - Problems, exercises, etc
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Sommario/riassunto: "Derived from extensive teaching experience in Paris, this second edition now includes over 100 exercises in probability. New exercises have been added to reflect important areas of current research in probability theory, including infinite divisibility of stochastic processes, past-future martingales and fluctuation theory. For each exercise the authors provide detailed solutions as well as references for preliminary and further reading. There are also many insightful notes to motivate the student and set the exercises in context". - Provided by publisher

Non-locality and possible worlds [[electronic resource] ] : a counterfactual perspective on quantum entanglement / / Tomasz F. Bigaj

• Record Nr.: UNISA996308842703316
• Autore: Bigaj Tomasz F
• Pubbl/distr/stampa: Frankfurt ; ; New Brunswick, N.J., : Ontos; Piscataway, N.J., : North and South America by Transaction Books, Rutgers University, 2006
• ISBN: 3-11-032330-3
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (295 p.)
• Collana: Epistemische Studien, schriften zur Erkenntnis- und Wissenschaftstheorie ; ; Bd. 10 / v. 1 0
• Classificazione: CC 4200
• Disciplina: 530.1
• Soggetti: Quantum theory; Quantum entanglement
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. [283]-290) and index.
• Nota di contenuto: Front matter -- Table of Contents -- INTRODUCTION -- Chapter 1. WHY DOES THE QUANTUM WORLD HAVE TO BE NON-LOCAL? -- Chapter 2. POSSIBLE-WORLD SEMANTICS FOR COUNTERFACTUALS -- Chapter 3. A COUNTERFACTUAL VERSION OF BELL'S THEOREM AND ITS CRITICISM -- Chapter 4. THE GHZ AND HARDY THEOREMS COUNTERFACTUALLY STRENGTHENED-WHAT WENT WRONG? -- Chapter 5. TWO INTERPRETATIONS OF SPATIOTEMPORAL COUNTERFACTUALS -- Chapter 6. LOCALITY EXPLAINED AND THE EPRBELL THEOREMS RECONSIDERED -- Chapter 7. COMPARISONS AND CONCLUSIONS -- Bibliography -- Index -- Backmatter
• Sommario/riassunto: This book uses the formal semantics of counterfactual conditionals to analyze the problem of non-locality in quantum mechanics. Counterfactual conditionals (subjunctive conditionals) enter the analysis of quantum entangled systems in that they enable us to precisely formulate the locality condition that purports to exclude the existence of causal interactions between spatially separated parts of a system. They also make it possible to speak consistently about alternative measuring settings, and to explicate what is meant by quantum property attributions. The book develops the possible-world ; semantics of quantum counterfactuals using David Lewis's famous approach as a starting point but modifying it significantly in order to achieve compatibility with the demands of the special theory of relativity as well as quantum mechanics. There have been several attempts to use counterfactual semantics to strengthen Bell's theorem and its cognates such as the GHZ and Hardy theorems. These are critically evaluated in the book. Finally, a counterfactual reconstruction of the EPR argument and Bell's theorem is proposed that sheds a new light on their philosophical consequences regarding the relations between realism and local causation.