We analyze the Bianchi IX dynamics (Mixmaster) in view of its stochastic properties; in the present paper we address either the original approach due to Belinski, Khalatnikov and Lifshitz (BKL) as well as a Hamiltonian one relying on the Arnowitt–Deser–Misner (ADM) reduction. We compare these two frameworks and show how the BKL map is related to the geodesic flow associated with the ADM dynamic...

We show that if ft is a holomorphic family of quadratic-like maps with all periodic orbits repelling so that for each real t the map ft is a real Collet-Eckmann S-unimodal map then, writing μt for the unique absolutely continuous invariant probability measure of ft, the map

A piecewise continuous map for modeling bursting and spiking behaviour of isolated neuron is proposed. The map was created from phenomenological viewpoint. The map demonstrates oscillations , which are qualitatively similar to oscillations generating by Rose–Hindmarsh model. The synchronization in small ensembles of the maps is investigated. It is considered the different number of elements in ...

Continuous localization is a technique that allows a robot to maintain an accurate estimate of its location by performing regular, small corrections to its odometry. Continuous localization uses an evidence grid representation, a common representation scheme that is used by other map-dependent processes, such as path planning. Although techniques exist for building evidence grid maps, most are ...

Our research addresses how to integrate exploration and localization for mobile robots. A robot exploring and mapping an unknown environment needs to know its own location, but it may need a map in order to determine that location. In order to solve this problem, we have developed ARIEL, a mobile robot system that combines frontierbased exploration with continuous localization. ARIEL explores b...

We propose a new method called C-SOM using a Self-Organizing Map (SOM) for function approximation. C-SOM takes care about the output values of the «win-ning» neuron's neighbors of the map to compute the output value associated with the input data. Our work extends the standard SOM with a combination of Local Linear Mapping (LLM) and cubic spline based interpolation techniques to improve its gen...

In this work, the assembly map in L-theory for the family of finite subgroups is proven to be a split injection for a class of groups. Groups in this class, including virtually polycyclic groups, have universal spaces that satisfy certain geometric conditions. The proof follows the method developed by Carlsson-Pedersen to split the assembly map in the case of torsion free groups. Here, the cont...

We discuss maximum a posteriori estimation of continuous density hidden Markov models (CDHMM). The classical MLE reestimation algorithms, namely the forward-backward algorithm and the segmental k-means algorithm, are expanded and reestimation formulas are given for HMM with Gaussian mixture observation densities. Because of its adaptive nature, Bayesian learning serves as a unified approach for...

Computerised continuous measurement of mean arterial blood pressure (MAP) and serial cranial ultrasonography in 33 infants of less than 31 weeks' gestation showed that a MAP of less than 30 mm Hg for over an hour was significantly associated with severe haemorrhage, ischaemic cerebral lesions, or death within 48 hours. No severe lesions developed with a MAP greater than or equal to mm Hg.

Consider the Cauchy problem for an ordinary diierential equation _ x = g(t; x); x(0) = x; t 2 0; T]: (1:1) When g is continuous, the local existence of solutions is provided by Peano's theorem. Several existence and uniqueness results are known also in the case of a discontinuous right hand side 7]. We recall here the classical theorem of Carath eodory 8]: Theorem A. Let g : 0; T] IR n 7 ! IR n...