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Full-Text Articles in Physical Sciences and Mathematics
A Zeta Function For Flows With Positive Templates, Michael C. Sullivan
A Zeta Function For Flows With Positive Templates, Michael C. Sullivan
Articles and Preprints
A zeta function for a map f : M → M is a device for counting periodic orbits. For a topological flow however, there is not a clear meaning to the period of a closed orbit. We circumvent this for flows which have positive templates by counting the “twists” in the stable manifolds of the periodic orbits.
Educating Dilbert, Michael C. Sullivan
Educating Dilbert, Michael C. Sullivan
Articles and Preprints
A commentary on calculus reform efforts.
Smooth Densities For Degenerate Stochastic Delay Equations With Hereditary Drift, Denis R. Bell, Salah-Eldin A. Mohammed
Smooth Densities For Degenerate Stochastic Delay Equations With Hereditary Drift, Denis R. Bell, Salah-Eldin A. Mohammed
Articles and Preprints
We establish the existence of smooth densities for solutions of Rd-valued stochastic hereditary differential systems of the form
dx(t) = H(t,x)dt + g(t, x(t - r))dW(t).
In the above equation, W is an n-dimensional Wiener process, r is a positive time delay, H is a nonanticipating functional defined on the space of paths in Rd and g is an n x d matrix-valued function defined on [0, ∞) x Rd, such that gg* has …