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22 papers · 1 filter
A human proof for a generalization of Shalosh B. Ekhad's 10^n Lattice Paths Theorem
Nicholas A. Loehr, Bruce E. Sagan, Gregory S. Warrington
Consider lattice paths in Z^2 taking unit steps north (N) and east (E). Fix positive integers r,s and put an equivalence relation on points of Z^2 by letting v,w be equivalent if v…
Notions of positivity and the Ozsvath-Szabo concordance invariant
Matthew Hedden
In this paper we examine the relationship between various types of positivity for knots and the concodance invariant tau discovered by Ozsvath and Szabo and independently by Rasmus…
The Carina dSph galaxy: where is the edge?
G. Bono, M. Monelli, A. R. Walker +13
Recent cosmological N-body simulations suggest that current empirical estimates of tidal radii in dSphs might be underestimated by at least one order of magnitude. To constrain the…
Effect of the radiative background flux in convection
A. Brandenburg, K. L. Chan, A. Nordlund +1
Numerical simulations of turbulent stratified convection are used to study models with approximately the same convective flux, but different radiative fluxes. As the radiative flux…
On Fermion Entanglement
T. A. Kaplan
Under the historical definition of entanglement, namely that encountered in Einstein--Podolski--Rosen (EPR)--type experiments, it is shown that a particular Slater determinant is e…
Photovoltaic effect in bent quantum wires
Yu. V. Pershin, C. Piermarocchi
We propose a scheme for the generation of photocurrent in bent quantum wires. We calculate the current using a generalized Landauer-Buttiker approach that takes into account the el…