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After briefly reviewing some arguments in favor of high scale and low scale supersymmetry breaking, I discuss a possible solution of the $\mu$-problem of gauge mediated models.

High Energy Physics - Phenomenology · Physics 2009-10-30 Michael Dine

The calculation of the one-loop induced decay rate b -> s \gamma is improved by including radiative corrections to the charged Higgs mass and to the charged-Higgs-fermion-fermion vertex. It is shown how the radiative corrections modify the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Marco A. Diaz

We give a modification of Mitchell's technique for adding objects of size $\omega_2$ with conditions with finite working parts in which the collections of models used as side conditions are very highly structured, arguably making them more…

Logic · Mathematics 2014-11-25 Charles Morgan

Improving a result of N. Levinson, we exhibit large and small values of $|\zeta(1+it)|$.

Number Theory · Mathematics 2007-05-23 Andrew Granville , K. Soundararajan

We give a new lower bound for the first gap $\lambda_2 - \lambda_1$ of the Dirichlet eigenvalues of the Schr{\"o}dinger operator on a bounded convex domain $\Omega$ in R$^n$ or S$^n$ and greatly sharpens the previous estimates. The new…

Differential Geometry · Mathematics 2007-05-23 Jun Ling

In this paper, we introduce novel characterizations of the classical concept of majorization in terms of upper triangular (resp., lower triangular) row-stochastic matrices, and in terms of sequences of linear transforms on vectors. We used…

Information Theory · Computer Science 2024-05-14 Roberto Bruno , Ugo Vaccaro

We improve the previuosly known bound for some vertex Folkman numbers.

Combinatorics · Mathematics 2007-05-23 N. Kolev , N. Nenov

The existence of mirror fermions interacting strongly under a new gauge group and having masses near the electroweak scale has been recently proposed as a viable alternative to the standard-model Higgs mechanism. The main purpose of this…

High Energy Physics - Phenomenology · Physics 2009-10-31 George Triantaphyllou

The $\omega$-limit set in a compact positively invariant region $R \subset \mathbb{R}^n$ has been identified for $n=1$, 2, and 3, with examples in each case. It has been shown that the $\omega$-limit set becomes more complex as $n$…

Dynamical Systems · Mathematics 2023-12-01 Khalil Zare , Steven R. Chesley

The aim of this paper is to introduce a new incremental procedure that can be used for numerical evaluation of the limit load. Existing incremental type methods are based on parametrization of the energy by the loading parameter…

Numerical Analysis · Mathematics 2018-01-08 Jaroslav Haslinger , Sergey Repin , Stanislav Sysala

We study approximability of subdense instances of various covering problems on graphs, defined as instances in which the minimum or average degree is Omega(n/psi(n)) for some function psi(n)=omega(1) of the instance size. We design new…

Data Structures and Algorithms · Computer Science 2010-11-10 Jean Cardinal , Marek Karpinski , Richard Schmied , Claus Viehmann

We extend Berge's Maximum Theorem to allow for incomplete preferences. We first provide a simple version of the Maximum Theorem for convex feasible sets and a fixed preference. Then, we show that if, in addition to the traditional…

Theoretical Economics · Economics 2021-11-17 Leandro Gorno , Alessandro Rivello

It is known that the M\"obius function in number theory is higher order oscillating. In this paper we show that there is another kind of higher order oscillating sequences in the form $(e^{2\pi i \alpha \beta^{n}g(\beta)})_{n\in \N}$, for a…

Dynamical Systems · Mathematics 2020-06-02 Shigeki Akiyama , Yunping Jiang

We show a model construction for a system of higher-order illative combinatory logic $\mathcal{I}_\omega$, thus establishing its strong consistency. We also use a variant of this construction to provide a complete embedding of first-order…

Logic · Mathematics 2016-07-12 Łukasz Czajka

We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2+1 and 3+1 superconductors. We also compute a correlation length. We find surprising regularities in…

High Energy Physics - Theory · Physics 2009-01-01 Gary T. Horowitz , Matthew M. Roberts

We introduce a new method for building models of CH, together with $\Pi_2$ statements over $H(\omega_2)$, by forcing. Unlike other forcing constructions in the literature, our construction adds new reals, although only $\aleph_1$-many of…

Logic · Mathematics 2023-03-22 David Aspero , Miguel Angel Mota

Determining the asymptotic algebraic complexity of matrix multiplication, succinctly represented by the matrix multiplication exponent $\omega$, is a central problem in algebraic complexity theory. The best upper bounds on $\omega$, leading…

Computational Complexity · Computer Science 2022-03-08 Matthias Christandl , Péter Vrana , Jeroen Zuiddam

Given a finite Borel measure $\mu$ on R n and basic semi-algebraic sets $\Omega$\_i $\subset$ R n , i = 1,. .. , p, we provide a systematic numerical scheme to approximate as closely as desired $\mu$(\cup\_i $\Omega$\_i), when all moments…

Optimization and Control · Mathematics 2017-06-27 Jean Lasserre , Youssouf Emin

This is the first article of a series of two where we study the problem of bounded deviations for homeomorphisms of closed surfaces of genus $\ge 2$. This first part studies bounded deviations with respect to closed geodesics. As a…

Dynamical Systems · Mathematics 2026-01-12 Pierre-Antoine Guihéneuf , Fábio Armando Tal

The $\beta$-generalized quasi-geostrophic equation is studied in the range of $\alpha \in (0, 1), \beta \in (1/2, 1), 1/2 < \alpha + \beta < 3/2$. When $\alpha \in (1/2, 1), \beta \in (1/2, 1)$ such that $1 \leq \alpha + \beta < 3/2$, using…

Analysis of PDEs · Mathematics 2011-08-23 Kazuo Yamazaki