TY - BOOK ID - 50985731 TI - Probabilities and potential C : potential theory for discrete and continuous semigroups AU - Dellacherie, Claude. AU - Meyer, Paul AndreĢ. PY - 1988 SN - 1281793183 9786611793180 008087262X 0444703861 9780444703866 9780080872629 PB - Amsterdam ; New York : Elsevier, DB - UniCat KW - Probabilities. KW - Potential theory (Mathematics) KW - Semigroups. KW - Group theory KW - Green's operators KW - Green's theorem KW - Potential functions (Mathematics) KW - Potential, Theory of KW - Mathematical analysis KW - Mechanics KW - Probability KW - Statistical inference KW - Combinations KW - Mathematics KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk UR - http://www.unicat.be/uniCat?func=search&query=sysid:50985731 AB - This third volume of the monograph examines potential theory. The first chapter develops potential theory with respect to a single kernel (or discrete time semigroup). All the essential ideas of the theory are presented: excessive functions, reductions, sweeping, maximum principle. The second chapter begins with a study of the notion of reduction in the most general situation possible - the ``gambling house'' of Dubins and Savage. The beautiful results presented have never been made accessible to a wide public. These are then connected with the theory of sweeping with respect to a cone of cont ER -