In this paper we introduce the notion of degree for C 1 –cocycles over irrational rotations on the circle with values in the group SU (2). It is shown that if a C 1 –cocycle ϕ : T → SU (2) over an irrational rotation by α has nonzero degree, then the skew product T × SU (2) (x, g) → (x + α, g ϕ(x)) ∈ T × SU (2) is not ergodic and the group of essential values of ϕ is equal to the maximal Abelia...

Pancreatic carcinoma is a very aggressive disease with dismal prognosis. Although evidences for tumor-specific T cell immunity exist, factors related to tumor microenvironment and the presence of immunosuppressive cytokines in patients' sera have been related to its aggressive behavior. Carcinoembryonic Ag (CEA) is overexpressed in 80-90% of pancreatic carcinomas and contains epitopes recognize...

2011 Transistor aging effects in Nano-scale CMOS result in transistor performance degradation over the device lifetime. The primary physical mechanism behind transistor aging is Bias Temperature Instability (BTI). Such transistor aging results in circuit performance degradation over time. In this research we are interested in analyzing the impact of the BTI aging effect on clock skew in on-chip...

In this paper we introduce the notion of degree for C 1 –cocycles over irrational rotations on the circle with values in the group SU (2). It is shown that if a C 1 – cocycle ϕ : T → SU (2) over an irrational rotation by α has nonzero degree, then the skew product T × SU (2) ∋ (x, g) → (x + α, g ϕ(x)) ∈ T × SU (2) is not ergodic and the group of essential values of ϕ is equal to the maximal Abe...

We introduce a mixture of generalized hyperbolic distributions as an alternative to the ubiquitous mixture of Gaussian distributions as well as their near relatives of which the mixture of multivariate t and skew-t distributions are predominant. The mathematical development of our mixture of generalized hyperbolic distributions model relies on its relationship with the generalized inverse Gauss...

We consider the stochastic equation X(t) = W(t) + βlX0(t), where W is a standard Wiener process and lX0(⋅) is the local time at zero of the unknown process X. There is a unique solution X (and it is adapted to the fields of W) if |β| ≤ 1, but no solutions exist if |β| > 1. In the former case, setting α = (β + 1)/2, the unique solution X is distributed as a skew Brownian motion with parameter α....

Finite mixtures of skew distributions provide a flexible tool for modelling heterogeneous data with asymmetric distributional features. However, parameter estimation via the Expectation-Maximization (EM) algorithm can become very timeconsuming due to the complicated expressions involved in the E-step that are numerically expensive to evaluate. A more time-efficient implementation of the EM algo...

‎The goal of this study is to introduce an Asymmetric Uniform-Laplace (AUL) distribution‎. ‎We present a detailed theoretical description of this distribution‎. ‎We try to estimate the parameters of AUL distribution using the maximum likelihood method‎. ‎Since the likelihood approach results in complicated forms‎, ‎we suggest a bootstrap-based approach for es...

given a graph $g$, let $g^sigma$ be an oriented graph of $g$ with the orientation $sigma$ and skew-adjacency matrix $s(g^sigma)$. then the spectrum of $s(g^sigma)$ consisting of all the eigenvalues of $s(g^sigma)$ is called the skew-spectrum of $g^sigma$, denoted by $sp(g^sigma)$. the skew energy of the oriented graph $g^sigma$, denoted by $mathcal{e}_s(g^sigma)$, is defined as the sum of the n...