We here introduce some combinatorial and analytic tools, conceived to make possible to perform new expansions in the context of constructive field theory and multiscale analysis. These formulas generalize the idea of performing cluster expansion using a sum indexed by forest to the case of a Taylor expansion of order more than zero. They are expected to help construct new field theories of the matrices and tensors type.
De Dimitry Gurevich
De James Propp
De Paul-André Melliès
De Alexandros Singh
De Sergey Yurkevich
De Cyril Banderier
De Stéphane Gaubert
De Vincel Hoang Ngoc Minh
De Lionel Pournin
De Claudio Dappiaggi
De Alexander Strohmaier
De Hans Lindblad
De Céline Duval
De Olivier Benoist
