In this work we derive Born's rule from the pilot-wave theory of de Broglie and Bohm. Based on a toy model involving a particle coupled to a environement made of "qubits" (i.e., Bohmian pointers) we show that entanglement together with deterministic chaos lead to a fast relaxation from any statistitical distribution $\rho(x)$ (of finding a particle...
This chapter presents a review of investigations into the complexity of the plastic flow associated with the Portevin-Le Chateliereffect, or jerky flow, in traditional alloys that have basic elements determining the crystal lattice of the material. The main accent is put onthe illustration of the state-of-the art of this research under the angle of...
Published in Finance Research Letters
This paper investigates the Chicago Board Option Exchange Volatility Index's (‘VIX’) response to the COVID-19 pandemic crisis, in terms of information efficiency. First, we estimate an Efficiency Index over rolling windows, based on closing levels, for a period between 1995-01-03 and 2020-12-30. Second, we check for the presence of deterministic ch...
We show that the fluctuations of the periodic orbits of deterministically chaotic systems can be captured by supersymmetry, in the sense that they are repackaged in the contribution of the absolute value of the determinant of the noise fields, defined by the equations of motion.
Časové řady jsou generovány rozdílnými procesy, které si zaslouží klasifikaci dle svých vrozených vlastností. V reálných měřeních nacházíme tyto vlivy v korelacích, což může při citlivých měřeních utvářet netriviální struktury. Pomezí mezi kvantovými mikroskopickými ději, jejich stochastickými vlastnostmi a statistickými makroskopickými determinist...
Published in Nukleonika
Results of positron annihilation lifetime spectroscopy (PALS) and microscopic studies on simple microorganisms, brewing yeasts, are presented. Lifetime of ortho-positronium (o-Ps) were found to change from 2.4 to 2.9 ns (longer-lived component) for lyophilized and aqueous yeasts, respectively. Also hygroscopicity of yeasts in time was examined, all...
Published in Neurophysiology
Electroencephalograms of 220 patients with post-coma disorders of consciousness after severe traumatic brain injury were analyzed using nonlinear multidimensional analysis, and the results were compared with those of standard linear time-amplitude analysis. Quantitative multichannel EEGs were recorded in the course of one-year-long clinical restora...
Molecular-dynamics simulations of liquid water show deterministic chaos, i.e. an intentionally introduced molecular position shift of an individual molecule increases exponentially by a factor of 10 in 0.23 ps. This is a Lyaponov instability. As soon as it reaches molecular scale, the direction of the resulting shift in molecular motions is unpredi...
Published in Computational Mathematics and Mathematical Physics
Numerical-analytical methods for finding periodic solutions of highly nonlinear autonomous and nonautonomous systems of ordinary differential equations are considered. Algorithms for finding initial conditions corresponding to a periodic solution are proposed. The stability of the found periodic solutions is analyzed using corresponding variational...
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