… that any self-similar fragmentation process with negative index can be … negative indices,
because in most interesting cases when the self-similarity index is non-negative, all fragments …

… that any self-similar fragmentation process with negative index can be … negative indices,
because in most interesting cases when the self-similarity index is non-negative, all fragments …

… Its genealogy yields a self-similar continuum tree endowed … yields a self-similar growth-fragmentation
with negative index. … a positive self-similar Markov process X with index α < 0, in …

… genealogy of the fragmentation can be encoded in a compact continuum random tree, called
multi-type fragmentation tree… –negative self–similar Markov processes with a fixed index of …

… the genealogical tree of some branching processes, namely … A broader family of continuum
random surfaces than the … + (t))t≥0 = (exp(η + (τt)))t≥0 with index α, that we denote by …

… articles complémentaires intitulés Self-similar fragmentations derived from the stable tree I &
II : … intitulé The genealogy of self-similar fragmentations as a continuum random tree, écrit en …

… ) were also retrieved directly in the continuum in [MSW20] by … , when removing the negative
sizes in the genealogy, we … We assume that X is self-similar with index α in the following …

… given: the continuum random tree describing the genealogy of a selfsimilar fragmentation …
[3] have introduced a self-similar fragmentation FAP with index 1/2 which is transformed by an …

… Xi(t)) dt of a self-similar fragmentation process X = (X(t),t ≥ 0) with negative index. We
characterize the … We assume that the index of self-similarity α is negative, which implies that small …