We investigate the effect of a Steiner type symmetrization on the isotropic constant of a convex body. We reduce the problem of bounding the isotropic constant of an arbitrary convex body, to the problem of bounding the isotropic constant of a finite volume ratio body. We also add two observations concerning the slicing problem. The first is the equivalence of the problem to a reverse Brunn-Min...

We consider the problem of bounding CFT correlators on Euclidean section. By reformulating question as an optimization problem, we construct functionals numerically which determine upper and lower bounds under several circumstances. A useful outcome our analysis is that gap maximization bootstrap can be reproduced by a easier problem. find 3d Ising spin correlator takes minimal possible allowed...

The height of a polynomial with integer coefficients is the largest coefficient in absolute value. Many papers have been written on the subject of bounding heights of cyclotomic polynomials. One result, due to H. Maier, gives a best possible upper bound of nψ(n) for almost all n, where ψ(n) is any function that approaches infinity as n → ∞. We will discuss the related problem of bounding the ma...

We present an algorithm to generate a one-sided approximation of a given triangular mesh. We refer to such an approximate mesh as a bounding mesh, which includes the original mesh and has fewer vertices. Likewise, an inner bounding mesh is defined as an approximate mesh that is included by a given mesh. Our proposed bounding mesh algorithm performs iterative edge contractions and can generate b...