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Krzysztof Piasecki

Publications and source records attributed to Krzysztof Piasecki.

6 recordsLinked to original sources
arXiv2026

Isospin-symmetry violation - kaons and beyond (ISO-BREAK 25: summary and outlook)

This report summarizes the presentations and discussions during the ISO-BREAK 25 Workshop ``Isospin symmetry violation: kaons and beyond'', which was held at Jan Kochanowski University in Kielce on October 23--25, 2025. We address the current status of the isospin-symmetry breaking discovered by NA61/SHINE in nucleus--nucleus collisions at the CERN SPS, its confirmation by other experiments and studies in \ee and deep inelastic scattering. In addition, we discuss the theoretical status as well as we outline experimental and theoretical priorities towards understanding this currently unexplained phenomenon.

nucl-ex↗
arXiv2016

Black-Litterman model with intuitionistic fuzzy posterior return

The main objective is to present a some variant of the Black - Litterman model. We consider the canonical case when priori return is determined by means such excess return from the CAPM market portfolio which is derived using reverse optimization method. Then the a priori return is at risk quantified uncertainty. On the side, intensive discussion shows that the experts' views are under knightian uncertainty. For this reason, we propose such variant of the Black - Litterman model in which the experts' views are described as intuitionistic fuzzy number. The existence of posterior return is proved for this case.We show that then posterior return is an intuitionistic fuzzy probabilistic set.

q-fin.MF↗
arXiv2013

On return rate implied by behavioural present value

The future value of a security is described as a random variable. Distribution of this random variable is the formal image of risk uncertainty. On the other side, any present value is defined as a value equivalent to the given future value. This equivalence relationship is a subjective. Thus follows, that present value is described as a fuzzy number, which is depend on the investor's susceptibility to behavioural factors. All above reasons imply, that return rate is given as a fuzzy probabilistic set. The basic properties of such image of return rate are studied. At the last the set of effective securities is distinguished as a fuzzy set.

q-fin.GN↗
arXiv2013

Behavioural present value

Impact of chosen behavioural factors on imprecision of present value is discussed here. The formal model of behavioural present value is offered as a result of this discussion. Behavioural present value is described here by fuzzy set. These considerations were illustrated by means of extensive numerical case study. Finally there are shown that in proposed model the return rate is given, as a fuzzy probabilistic set.

q-fin.GN↗
arXiv2013

Basis of financial arithmetic from the viewpoint of the utility theory

The main goal of this paper is presentation a modern axiomatic approach to financial arithmetic. At the first, the axiomatic financial arithmetic theory was proposed by Peccati who has introduced the axiomatic definition of the future value. This theory has been extensively developed in past years. Proposed approach to financial arithmetic is based on the financial flow utility concept. This utility function is defined as linear extension of multicriteria comparison determined by the time preference and the capital preference. Then the present value is equal to financial flow utility. Therefore, the law of diminishing marginal wealth utility has been considered as additional feature of the present value. The future value is defined as the inverse of utility function. This definition is a generalization of the Peccati one. The net present value is given as the unique additive extension of financial flow utility. Moreover, the synergy effect and the diversification effect will be discussed. At the end, the axiomatic present value definition will be specified in three ways.

q-fin.GN↗