651 citations
- University of OxfordGB32 papers
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8 papers · 1 filter
Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap
Satya N. Majumdar, Alain Comtet, Robert M. Ziff
Two random-walk related problems which have been studied independently in the past, the expected maximum of a random walker in one dimension and the flux to a spherical trap of par…
Dark energy and decompactification in string gas cosmology
Francesc Ferrer, Syksy Rasanen
We study the stability of extra dimensions in string gas cosmology at late times. Vacuum energy and, interestingly, baryons lead to decompactification after they become dynamically…
Geometry of quantum systems: density states and entanglement
Janusz Grabowski, Marek Kuś, Giuseppe Marmo
Various problems concerning the geometry of the space $u^*(\cH)$ of Hermitian operators on a Hilbert space $\cH$ are addressed. In particular, we study the canonical Poisson and Ri…
Modelling droplets on superhydrophobic surfaces: equilibrium states and transitions
A. Dupuis, J. M. Yeomans
We present a lattice Boltzmann solution of the equations of motion describing the spreading of droplets on topologically patterned substrates. We apply it to model superhydrophobic…
On the stability of Bose-Fermi mixtures
T. Karpiuk, M. Brewczyk, M. Gajda +1
We consider the stability of a mixture of degenerate Bose and Fermi gases. Even though the bosons effectively repel each other the mixture can still collapse provided the Bose and…
Morphogen Gradient from a Noisy Source
Jeremy L. England, John Cardy
We investigate the effect of time-dependent noise on the shape of a morphogen gradient in a developing embryo. Perturbation theory is used to calculate the deviations from determin…