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7 papers · 1 filter
Topological properties of Eschenburg spaces and 3-Sasakian manifolds
Ted Chinburg, Christine Escher, Wolfgang Ziller
The authors examine topological properties of the 7-dimensional Eschenburg biquotients diag(z^k1,z^k2,z^k3)\SU(3)/diag(z^l1,z^l2,z^l3). A subfamily of these spaces carry a 3-Sasaki…
A probabilistic representation of solutions of the incompressible Navier-Stokes equations in R3
M. Ossiander
A new probabilistic representation is presented for solutions of the incompressible Navier-Stokes equations in 3 dimensions with given forcing and initial velocity. This representa…
Geometry of infinitely generated Veech groups
Pascal Hubert, Thomas A. Schmidt
Veech groups uniformize Teichmüller geodesic curves in Riemann moduli space. Recently, examples of infinitely generated Veech groups have been given. We show that these can even ha…
Low height geodesics and the Markoff spectrum
Thomas A. Schmidt, Mark Sheingorn
We classify, in terms of topology of highest arcs, low height non-simple geodesics on the modular hyperbolic punctured sphere with three elliptic fixed points of order two. Of eigh…
Multi-particle processes with reinforcements
Yevgeniy Kovchegov
We consider a multi-particle generalization of linear edge-reinforced random walk (ERRW). We observe that in absence of exchangeability, new techniques are needed in order to study…
Resonant light interaction with plasmonic nanowire systems
Viktor A. Podolskiy, Andrey K. Sarychev, Evgenii E. Narimanov +1
We compare the optical response of isolated nanowires, double-wire systems, and Pi-structures, and show that their radiation is well described in terms of their electric and magnet…