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4 papers · 1 filter
Periodic orbits of Hamiltonian flows near symplectic extrema
Viktor L. Ginzburg, Ely Kerman
For Hamiltonian flows we establish the existence of periodic orbits on a sequence of level sets approaching a Bott-nondegenerate symplectic extremum of the Hamiltonian. As a conseq…
Double Sections and Dominating Maps
Steven Shin-Yi Lu, Gregery T. Buzzard
As is well-known, there exist nonconstant holomorphic maps from the plane into the Riemann sphere $\PP^1$ minus two points, the simplest example of which is an explicit realization…
Occupation Time Fluctuations in Branching Systems
Don Dawson, L. G. Gorostiza, A. Wakolbinger
We consider particle systems in locally compact Abelian groups with particles moving according to a process with symmetric stationary independent increments and undergoing one and…
A Combinatorial, Strongly Polynomial-Time Algorithm for Minimizing Submodular Functions
Satoru Iwata, Lisa Fleischer, Satoru Fujishige
This paper presents the first combinatorial polynomial-time algorithm for minimizing submodular set functions, answering an open question posed in 1981 by Grotschel, Lovasz, and Sc…