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19942026
most citedSignatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices

4.2k citations

Showing 2009 · math.PRShow all

6 papers · 2 filters

math.PR2009

Tail asymptotics for the total progeny of the critical killed branching random walk

Elie Aidekon

We consider a branching random walk on with a killing barrier at zero. At criticality, the process becomes eventually extinct, and the total progeny is therefore f…

math.PR2009★ 53 cited

Novel scaling limits for critical inhomogeneous random graphs

Shankar Bhamidi, Remco van der Hofstad, Johan S. H. van Leeuwaarden

We find scaling limits for the sizes of the largest components at criticality for rank-1 inhomogeneous random graphs with power-law degrees with power-law exponent τ. We investigat…

math.PR2009★ 5 cited

On a Processor Sharing Queue That Models Balking

Qiang Zhen, Johan S. H. van Leeuwaarden, Charles Knessl

We consider the processor sharing -PS queue which also models balking. A customer that arrives and sees others in the system "balks" (i.e., decides not to enter) with pr…

math.PR2009★ 66 cited

First passage percolation on random graphs with finite mean degrees

Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra

We study first passage percolation on the configuration model. Assuming that each edge has an independent exponentially distributed edge weight, we derive explicit distributional a…

math.PR2009★ 37 cited

Random graph asymptotics on high-dimensional tori. II. Volume, diameter and mixing time

Markus Heydenreich, Remco van der Hofstad

For critical bond-percolation on high-dimensional torus, this paper proves sharp lower bounds on the size of the largest cluster, removing a logarithmic correction in the lower bou…

math.PR2009★ 12 cited

A Lévy input model with additional state-dependent services

Zbigniew Palmowski, Maria Vlasiou

We consider a queuing model with the workload evolving between consecutive i.i.d. exponential timers according to a spectrally positive Lévy process $Y(…