Blowing up power of a singular cardinal—wider gaps

Blowing up Power of a Singular Cardinal –wider Gaps

The paper is concerned with methods for blowing power of singular cardinals using short extenders. Thus, for example, starting with κ of cofinality ω with {α < κ | o(α) ≥ α+n} cofinal in κ for every n < ω we construct a cardinal preserving extension having the same bounded subsets of κ and satisfying 2κ = κ+δ+1 for any δ < א1.

Blowing Up the Power of a Singular Cardinal

Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator

An introduction to some recently developed methods for the analysis of systems of singularly perturbed ordinary differential equations is given in the context of a specific problem describing glycolytic oscillations. In suitably scaled variables the governing equations are a planar system of ordinary differential equations depending singularly on two small parameters ε and δ. In [20] it was arg...

Blowing up The Power Set of The Least Measurable

We prove some results related to the problem of blowing up the power set of the least measurable cardinal. Our forcing results improve those of [1] by using the optimal hypothesis.

Blowing up Feynman integrals

In this talk we discuss sector decomposition. This is a method to disentangle overlapping singularities through a sequence of blow-ups. We report on an open-source implementation of this algorithm to compute numerically the Laurent expansion of divergent multi-loop integrals. We also show how this method can be used to prove a theorem which relates the coefficients of the Laurent series of dime...