386 citations
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22 papers · 1 filter
Evolution of cosmic superstring networks: a numerical simulation
Jon Urrestilla, Alexander Vilenkin
We study the formation and evolution of an interconnected string network in large-scale field-theory numerical simulations, both in flat spacetime and in expanding universe. The ne…
Prediction and explanation in the multiverse
Jaume Garriga, Alexander Vilenkin
Probabilities in the multiverse can be calculated by assuming that we are typical representatives in a given reference class. But is this class well defined? What should be include…
Quantum Stress Tensor Fluctuations and their Physical Effects
L. H. Ford, Chun-Hsien Wu
We summarize several aspects of recent work on quantum stress tensor fluctuations and their role in driving fluctuations of the gravitational field. The role of correlations and an…
The Dimension of the Torelli group
Mladen Bestvina, Kai-Uwe Bux, Dan Margalit
We prove that the cohomological dimension of the Torelli group for a closed connected orientable surface of genus g at least 2 is equal to 3g-5. This answers a question of Mess, wh…
Compatible Geometric Matchings
Oswin Aichholzer, Sergey Bereg, Adrian Dumitrescu +10
This paper studies non-crossing geometric perfect matchings. Two such perfect matchings are \emph{compatible} if they have the same vertex set and their union is also non-crossing.…
On Compact Routing for the Internet
Dmitri Krioukov, kc claffy, Kevin Fall +1
While there exist compact routing schemes designed for grids, trees, and Internet-like topologies that offer routing tables of sizes that scale logarithmically with the network siz…