The ununified standard model is an extension of the standard model that contains separate electroweak gauge groups for quarks and leptons. When it was originally proposed, data allowed the new gauge bosons to be quite light. We use recent data from precision electroweak measurements to put stringent bounds on the ununified standard model. In particular, at the 95% confidence level, we find that...

Abstract. Despite the growing use of tensor-based methods, tensors remain mysterious and misunderstood objects. In this work we develop a standard form for low-rank tensors that allows one to focus on the important defining parameters (internal angles and comparative sizes) while ignoring unimportant parameters (separable unitary transformations). This standard form eases the analysis of tensor...

We examine the influence of using a restart mechanism on stationary distributions particular class Markov chains. Namely, we consider family multivariate autoregressive stochastic sequences that when hit neighbourhood origin, and study their distributional limits coefficient tends to one, noise scaling parameter zero, size varies. show may change significantly limiting distribution. obtain limi...