Glossary 1 1. Definition of the subject and its importance 2 2. Basic Results 2 3. Panorama of Examples 8 4. Mixing notions and multiple recurrence 10 5. Topological group Aut(X, µ) 13 6. Orbit theory 15 7. Smooth nonsingular transformations 21 8. Spectral theory for nonsingular systems 22 9. Entropy and other invariants 25 10. Nonsingular Joinings and… (More)
" The major challenge of social work is that social workers have too many things on their plates. They cannot possibly do everything they need to do and do it well. Burnout is a main reason people are leaving the profession. We are short-handed as it is… " —Survey Participant The 2004 benchmark national study of licensed social workers provided a wealth of… (More)
Introduction Social work as a profession aims to address the impact of social problems on the lives of individuals, families, groups, organizations, and communities. To achieve this, the members of the profession, the organizations through which they work, and the schools of social work must have the knowledge base, theories, and values to understand… (More)
We prove mixing on rank-one transformations is equivalent to " the uniform convergence of ergodic averages (as in the mean ergodic theorem) over subsequences of partial sums ". In particular, all polynomial staircase transformations are mixing.