The well–known formal analogy between time and absolute temperature, existing on the quantum level, is considered as a profound duality relationship requiring some modifications in the conventional quantum dynamics. They consist of tiny deviations from uniform time run in the physical spacetime, as well as of tiny deviations from unitary time evolution characteristic for the conventional quantu...

The theory of large deviations for jump Markov processes has been generally proved only when jump rates are bounded below, away from zero (Dupuis and Ellis, 1995, The large deviations principle for a general class of queueing systems I. Trans. Amer. Math. Soc. 347 2689–2751; Ignatiouk-Robert, 2002, Sample path large deviations and convergence parameters. Ann. Appl. Probab. 11 1292–1329; Shwartz...

We give a short analytic proof of local large deviations for i.i.d. random variables in the domain multivariate α-stable law, α∈(0,1)∪(1,2]. Our method simultaneously covers lattice and nonlattice distributions (and mixtures thereof), bypassing aperiodicity considerations. The applies also to dynamical setting.

We study the upper tail behaviors of the local times of the additive Lévy processes and additive random walks. The limit forms we establish are the moderate deviations and the laws of the iterated logarithm for the L2-norms of the local times and for the local times at a fixed site. Subject classifications: 60F10, 60F15, 60J55, 60G52

Abstract. Deviation detection is an important problem of both data and text mining. In this paper we consider the detection of deviations in a set of texts represented as conceptual graphs. In contrast with statistical and distance-based approaches, the method we propose is based on the concept of generalization and regularity. Among its main characteristics are the detection of rare patterns (...

The aim of this study is to investigate the role of security in social deviations among women of Babol city. Descriptive survey research method was used and the unit of analysis is 15-29 year old women that 284 women are selected on the basis of Cochran formula and using multi-stage random cluster sampling. The results show that there is a weak significant relationship between the independent v...

Learning Analytics Dashboards (LAD) provide a means to leverage data to support learners, teachers, and counselors. This paper reports on an in-depth analysis of how learners interact with a LAD. N=1,406 first-year students in 12 different study programs were invited to use a LAD to support them in their transition from secondary to higher education. The LAD provides actionable feedback about f...

Having its origin in theoretical computer science, the Kannan-Lovász-Simonovits (KLS) conjecture is one of major open problems asymptotic convex geometry and high-dimensional probability theory today. In this work, we establish a connection between study large moderate deviations for isotropic log-concave random vectors. We then Euclidean norm orthogonally projected vectors an ℓpn–ball. This le...