By H. Heyer
The current quantity includes the transactions of the lOth Oberwolfach convention on "Probability Measures on Groups". The sequence of those conferences inaugurated in 1970 through L. Schmetterer and the editor is dedicated to an extensive trade of rules on an issue which constructed from the kinfolk among quite a few subject matters of arithmetic: degree conception, likelihood concept, team idea, harmonic research, distinct capabilities, partial differential operators, quantum stochastics, simply to identify the main major ones. through the years the fruitful interaction broadened in a number of instructions: new group-related constructions corresponding to convolution algebras, generalized translation areas, hypercomplex platforms, and hypergroups arose from generalizations in addition to from functions, and a steady refinement of the combinatorial, Banach-algebraic and Fourier analytic equipment ended in extra special insights into the idea. In a interval of optimum specialization in clinical suggestion the separated minds can be reunited via actively emphasizing similarities, analogies and coincidences among principles of their fields of study. even supposing there isn't any actual separation among one box and one other - David Hilbert denied even the life of any distinction among natural and utilized arithmetic - bridges among chance concept on one facet and algebra, topology and geometry at the different part stay completely helpful. they supply a good flooring for the communique among it appears disjoint study teams and encourage the framework of what's these days referred to as "Structural chance theory".