366 citations
- Carleton CollegeUS8 papers
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- Max Planck Institute for Gravitational PhysicsDE6 papers
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- University of BirminghamGB6 papers
- California Institute of TechnologyUS4 papers
- Massey UniversityNZ4 papers
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- Austrian Academy of SciencesAT3 papers
4 papers · 1 filter
Excited against the tide: A random walk with competing drifts
Mark Holmes
We study a random walk that has a drift to the right when located at a previously unvisited vertex and a drift to the left otherwise. We prove that in high…
Monotonicity for excited random walk in high dimensions
Remco van der Hofstad, Mark Holmes
We prove that the drift for excited random walk in dimension is monotone in the excitement parameter , when .
Distribution functions of linear combinations of lattice polynomials from the uniform distribution
Jean-Luc Marichal, Ivan Kojadinovic
We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice…
Nonmonotonicity of phase transitions in a loss network with controls
Brad Luen, Kavita Ramanan, Ilze Ziedins
We consider a symmetric tree loss network that supports single-link (unicast) and multi-link (multicast) calls to nearest neighbors and has capacity on each link. The network o…