Self-similar fragmentations

Under symmetrical pattern, the deviation is in the domain of a large waiting time: a large time gap between successive rare events occurs more frequency then the exponential

We deduced closed form solutions (i) for the static Green’s function (displacement field due to a unit δ-force), (ii) for the Cauchy problem (two convolution kernels

One of the results is that there is a Hölder asymptotic expansion on balls centered at zero for the spectral measure of self-similar suspension flows (which we could see as self

For smooth and decaying data, this problem (the so-called soliton resolution conjecture) can be studied via the inverse transform method ((mKdV) is integrable): for generic such

supposing that the (ϕ k ) 0≤k≤N are strict contractions, we prove a partial extension of the theorem of Erd¨ os [4], showing that for most parameters in the small island the

The proof in Section 5.1 shows that we loose quite much information when applying Sgibnev’s result (see Proposition 6.1 in Appendix) on the kew renewal theorem for a random walk

Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients..

Self-similar fragmentations derived from the stable tree II: splitting at nodes..