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Provides a complete theory of Diophantine approximation in the limit set of a group acting on a Gromov hyperbolic metric space. This summarizes and completes a long line of results by many authors, from Patterson's 1976 paper to more recent results of Hersonsky and Paulin. The authors consider concrete examples of situations which have not been considered before.

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The interested reader is urged to contact the author and join a Pragmatic Psychology Dialogue Group at the following web site: http: //www.rci.rutgers.edu/ dfishman/

-At long last, a tightly reasoned, thoroughly grounded treatise showing that complex social programs can be understood far more profoundly and usefully than past mindsets have allowed.-
--Lisbeth B. Schorr, author of Common Purpose: Strengthening Families and Neighborhoods to Rebuild America

-Fishman creates a new paradigm for advancing clinical science. Every mental health...

Much has been written about the basic incompatibility of the dominant quantitative research model in psychotherapy and the qualitative preferences of the practitioner community providing psychotherapy. Researchers and clinicians are at odds over the most valuable type of knowledge needed: that emerging from quantitative, experimental research versus that from qualitative, case-based practice, respectively.
Recently, a number of emerging research methods have attempted to bridge and integrate these two approaches. Case Studies within Psychotherapy Trials is one such effort and...