We make an extension of Game Theory to the complex space. We use the extreme points of convex polytope $S^{m}_\alpha$ to generalize the definitions of strategy sets and payoff functions, and we prove that the properties of Nash equilibria and the relations between the security levels of players, in the case of two-player zero-sum games, that appear...
A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is hyperfinite. In this paper we prove that this question always has a positive answer when the acting group is polycyclic, and we obtain a positive answer for all free acti...
This paper issues an integrated control system of self-driving autonomous vehicles based on the personal driving preference to provide personalized comfortable driving experience to autonomous vehicle users. We propose an Occupant's Preference Metric (OPM) which is defining a preferred lateral and longitudinal acceleration region with maximum allow...
We provide an example of a non-finitely generated group which admits a nonempty strongly aperiodic SFT. Furthermore, we completely characterize the groups with this property in terms of their finitely generated subgroups and the roots of their conjugacy classes.
Multiple lines of evidence strongly suggest that infection hotspots, where a single individual infects many others, play a key role in the transmission dynamics of COVID-19. However, most of the existing epidemiological models fail to capture this aspect by neither representing the sites visited by individuals explicitly nor characterizing disease ...
We study mappings that satisfy the inverse Poletsky-type inequality in a domain of Euclidean space. Under some conditions, it was proved that such mappings have a continuous extension to the boundary in terms of prime ends and form equicontinuous families of mappings on it. Here we consider the case of bad domains between which the mappings under s...
We prove that Morel-Voevodsky's stable $\mathbb{A}^1$-homotopy theory affords the universal six-functor formalism.
Published in Equine veterinary journal
High-power laser therapy gained popularity recently as a regenerative treatment for tendinitis and desmitis in the horse. However, studies evaluating the effects of laser therapy on tissue repair at the histological level in large mammals are lacking. To evaluate the effects of high-power laser therapy on suspensory desmitis healing, using a model ...
Fuels with high-knock resistance enable modern spark-ignition engines to achieve high efficiency and thus low CO2 emissions. Identification of molecules with desired autoignition properties indicated by a high research octane number and a high octane sensitivity is therefore of great practical relevance and can be supported by computer-aided molecu...
