In this paper we prove that one can find surgeries arbitrarily close to infinity in the Dehn surgery space of the figure eight knot complement for which some immersed totally geodesic surface compresses. MSC: 57M25, 57M50

We consider totally unimodular (TU) stochastic programs, that is, two-stage stochastic programs whose extensive-form constraint matrix is TU. We generalize the notion of total unimodularity to apply to sets of matrices and provide properties of such sets. We provide several sufficient conditions on stochastic programs to be TU. When solving TU stochastic problems using the L-shaped method, it i...

Rather than loading the owner's guide down with lots of " this is what you just bought and let us tell you how wonderful it is " propaganda, we fought to keep it concise, non-intimidating, and solution directed. Many of SpinRite 3.1's initial users have reported that they love the guide's brevity. But it explains nothing about how and what SpinRite does. So we created this " under the hood " te...

Motivated by new ideas about the Higgs mass naturalness problem, we present realistic TeV-scale extensions of the Standard Model, into the gauge group SU(3)L ⊗ SU(3)R ⊗ SU(3)c, such that all gauge, Yukawa and quartic couplings can be extrapolated up to infinite energy. Three generations of chiral fermions and Higgses are needed, as well as some extra fermion.