1,246 results for measures · 0.097s

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arxiv.org/abs/1211.7021v3

Multi-Vacuum Initial Conditions and the Arrow of Time

Depending on the type and arrangement of metastable vacua in the theory, initial conditions in a de Sitter vacuum with arbitrarily large entropy can be compatible with the observed arrow of time, if the causal patch or related measures are used to re...

arxiv.org/abs/1807.08676v1

Local dimensions of overlapping self-similar measures

We show that any equicontractive, self-similar measure arising from the IFS of contractions $(S_{j})$, with self-similar set $[0,1]$, admits an isolated point in its set of local dimensions provided the images of $S_{j}(0,1)$ (suitably) overlap and t...

arxiv.org/abs/1807.09198v2

Quasi-doubling of self-similar measures with overlaps

The Assouad and quasi-Assouad dimensions of a metric space provide information about the extreme local geometric nature of the set. The Assouad dimension of a set has a measure theoretic analogue, which is also known as the upper regularity dimension...

arxiv.org/abs/math/0610331v2

Bounded Earthquakes

We give a short proof of the fact that bounded earthquakes of the unit disk induce quasisymmetric maps of the unit circle. By a similar method, we show that symmetric maps are induced by bounded earthquakes with asymptotically trivial measures....

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