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| Title: | CONVOLUTION CALCULUS ON WHITE NOISE SPACES AND FEYNMAN GRAPH REPRESENTATION OF GENERALIZED RENORMALIZATION FLOWS | |
| DOI No: | 10.1142/9789812770547_0009 | |
| Source: | MATHEMATICAL ANALYSIS OF RANDOM PHENOMENA (pp 101-110) | |
| Copyright: | World Scientific Publishing Co. Pte. Ltd. | |
| Author(s): | HANNO GOTTSCHALK Institut für angewandte Mathematik, Wegelerstr. 6, D-51373 Bonn, Germany HABIB OUERDIANE Département de Mathématique, Université de Tunis El Manar, Campus Universitaire, TN-1006, Tunis BOUBAKER SMII Institut für angewandte Mathematik, Wegelerstr. 6, D-51373 Bonn, Germany | |
| Abstract: | In this note we outline some novel connections between the following fields: 1) convolution calculus on white noise spaces, 2) pseudo-differential operators and Lévy processes on infinite dimensional spaces, 3) Feynman graph representations of convolution semigroups, 4) generalized renormalization group flows and 5) the thermodynamic limit of particle systems. | |
| Full Text: | View full text in PDF format (468KB) | |
| TOC: | Back to Table of Contents | |
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