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18 papers · 1 filter
Rounding of continuous random variables and oscillatory asymptotics
Svante Janson
We study the characteristic function and moments of the integer-valued random variable , where is a continuous random variables. The results can be regarded…
Pauli spin blockade in weakly coupled quantum dots
J. Fransson, M. Rasander
In a two-level system, constituted by two serially coupled single level quantum dots, coupled to external leads we find that the current is suppressed in one direction of biasing c…
Topological Quandles and Invariants of Links
Ryszard L. Rubinsztein
We introduce a notion of topological quandle. Given a topological quandle we associate to every classical link in an invariant which is a topological space…
A simple solution to the k-core problem
Svante Janson, Malwina Luczak
We study the k-core of a random (multi)graph on n vertices with a given degree sequence. We let n tend to infinity. Then, under some regularity conditions on the degree sequences,…
On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality
Achilles Tertikas, Kyril Tintarev
We show existence of minimizers for the Hardy-Sobolev-Maz'ya inequality in for and or for and .
Stochastic model for Soj relocation dynamics in Bacillus subtilis
Konstantin Doubrovinski, Martin Howard
The Bacillus subtilis Spo0J/Soj proteins, implicated in chromosome segregation and transcriptional regulation, show striking dynamics: Soj undergoes irregular relocations from pole…