A bstract We discuss sensitivities to lepton flavor violating (and conserving) interactions at future muon colliders, especially μ + colliders. Compared with the searches for rare decays of and τ , we find that TeV-scale colliders have better depending on pattern hierarchy in mixings. As an example, study case type-II seesaw model, where mixing parameters direct relation neutrino mass matrix. A...

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For an infinite cardinal μ, MAD(μ) denotes the set of all cardinalities of nontrivial maximal almost disjoint families over μ. Erdős and Hechler proved in [7] the consistency of μ ∈ MAD(μ) for a singular cardinal μ and asked if it was ever possible for a singular μ that μ / ∈ MAD(μ), and also whether 2 μ < μ =⇒ μ ∈ MAD(μ) for every singular cardinal μ. We introduce a new method for controlling ...

We study a free boundary problem modeling tumor growth with T-periodic supply Φ(t) of external nutrients. The model contains two parameters μ and σ˜. first show that (i) zero radially symmetric solution is globally stable if only σ˜⩾1T∫0TΦ(t)dt; (ii) If σ˜<1T∫0TΦ(t)dt, then there exists unique positive σ∗(r,t),p∗(r,t),R∗(t) period T it global attractor all solutions for μ>0. These results are p...