Joachim Domsta

Joachim Domsta
The State University of Applied Sciences in Elbląg, · The Institute of Applied Informatics

Dr Hab.

About

41
Publications
109,622
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
237
Citations
Citations since 2016
12 Research Items
46 Citations
201620172018201920202021202202468
201620172018201920202021202202468
201620172018201920202021202202468
201620172018201920202021202202468
Introduction
The research interests and works are focussed on: 1. building and analysing rigorous mathematical models of real phenomena, especially dynamical systems describing evolution of physical, biological, chemical, economical and any other types of real objects; 2. mathematical methods applicable to the analysis of the models under investigations - functional and differential equations, stochastic processes.
Additional affiliations
October 2005 - September 2015
Gdansk University of Technology
Position
  • Professor
Description
  • Teaching and doing research in mathematics, in particular in probability theory, approximation theory and functional equations with applications to quantum physics, reliability and risk theory
October 2003 - October 2003
Silesian University of Technology
Position
  • none
October 1968 - September 1974
Institute of Mathematics Polish Academy of Sciences
Position
  • PhD Student till June 1972, since then - adiunkt (assistant professor)

Publications

Publications (41)
Preprint
Full-text available
A construction contradicting the so called "new stability theorem" by Itzhak Barkana
Preprint
Full-text available
Based on the solutions of the Schroedinger equation for free (non-relativitic) motion of a single particle, the Feynman path integral is derived with the use of propertis of the Fourier transformation. Extension to motions accelerated by potential forces is sketched. The case of quadratic potential is analysed in details.
Preprint
Full-text available
LT transformation of EM fields; deriving Biot-Savart formula from electrostatic Coulomb field of a point-charge at rest.
Article
Full-text available
The fundamentals of the expanding spherically symmetric escape speed Susskind model of the (not necessarily homogeneous) universe based on Newtonian gravity are considered in detail. A rigorous formulation of the evolution for the case of finite mass of the universe is presented. Every escape speed model is uniquely characterized by the time depend...
Preprint
Full-text available
special relativity theory-models with gravity (srt+g) 4. Another derivation of the proper acceleration (for subluminal motions) Joachim Domsta The current essay is the fourth part of the project SRT models with gravity. The preceding parts are: SRT+G 1. (file and comments) A derivation of the formula for electrostatic potential of a spherically sym...
Preprint
Full-text available
Current essay is the third part of the project Special Relativity Theory - models with gravity (SRT+G 3)). The aim of the project is to obtain some acceptable mathematical model of gravity forces in the flat Minkowski space, thus our first important step is to find reasonable necessary conditions to be fulfilled by the fields of accelerations. We p...
Preprint
Full-text available
Potentials for a physically appropriate description of the gravitational and the electrostatic fields may possess the following alleged "failures" - in some points their gradient and/or Laplacian does not exsist; - they are unbounded and/or do not possess limit at some points or at infinity; - in some cases the formula consists of many parts to cov...
Preprint
Full-text available
The note contains a solution of the following Problem: Find all electrostatic potentials Φ : R^3 → R of the field E : R^3 → R^3 of forces intensity generated by a charge with spherically symmetric distribution determined by a bounded integrable density µ : R^3 → R expressed via a given function m : R_+ → R as follows µ({\bf r}) =: m(r) for |{\bf r...
Article
Full-text available
We consider the weak convergence of iterates of so-called centred quadratic stochastic operators. These iterations allow us to study the discrete time evolution of probability distributions of vector-valued traits in populations of inbreeding or hermaphroditic species, whenever the offspring’s trait is equal to an additively perturbed arithmetic me...
Article
Adiabatic potential energy curves of the $^1\Sigma^+$ and $^1\Pi$ states of the LiH molecule have been calculated. They correlate asymptotically to atomic states, like 2s+1s, 2p+1s, 3s+1s, 3p+1s, 3d+1s, 4s+1s, 4p+1s and 4d+1s. Very good agreement is found between our calculated spectroscopic parameters and experimental ones. The dynamics of the rot...
Research
Full-text available
Complete analysis of the regular variability of functions in a single variable in relation to linear functional equations and applications to regular iteration is presented. In particular, extension of the Szekeres-Lundberg pprincipal function (originally applied for the Schro"der equation) and Burek-Coifman-Kuczma-Seneta principal function (applie...
Conference Paper
Full-text available
A matrix of complex numbers is said to be semi-stochastic if for every column the sum of elements equals one. With the use of unitary semi-stochastic matrices a multi-instant quantum pure states are introduced. For two instants, say 0 and 1, a pure state at instant 0 represented by a unit vector $\Psi^{(0)} = [ \psi^{(0)}_1, \psi^{(0)}_2, \dots, \p...
Article
Full-text available
We study the weak convergence of iterates of so-called centred kernel quadratic stochastic operators. These iterations, in a population evolution setting, describe the additive perturbation of the arithmetic mean of the traits of an individual's parents and correspond to certain weighted sums of independent random variables. We show that one can ob...
Article
Full-text available
Two selfmappings (Formula presented.) and (Formula presented.) of the open interval (Formula presented.) are said to be regularly conjugate with respect to the distinguished end-point (Formula presented.) whenever for some uniformly regularly varying at (Formula presented.) bijective selfmapping (Formula presented.) we have (Formula presented.). Le...
Conference Paper
Full-text available
I.Two ways of obtaining (possibly, non-Markovian) evolution of a quantum system, say S, are compared: - the most natural one leads by reduction of a unitary evolution of a supersystem, say (S; R), i.e. when S is coupled to a reservoir R - and the way by averaging random unitary dynamics of system S alone (the considered random dynamics is introduce...
Conference Paper
Full-text available
A consistent dfinition of measurement of a quantum system by its subsystem is proposed. The results of the measurement are analysed in relation to properties of the interaction Hamiltonian between the subsystems. The product form of Hamiltonians is assumed. It is shown by examples, that non-commuting factors ensure more reach information read by a...
Article
Full-text available
The Hamiltonians of the considered bi-partite systems are of the form H SR =H S ⊗1 R +Q S ⊗M R +1 S ⊗H R · Subindex S corresponds to the observed system and R to the reservoir (the enviroment of S). Two classes of systems are distinguished: the discrete-continuous (D-C) and the continuous-continuous (C-C) models. In both cases resevoir operators M...
Article
Full-text available
Some simple examples of quantum systems are collected to illustrate requirements suffi-cient for the evolution of a subsystem according to a quantum dynamical semigroup. For this, a class of quantum dynamics of a system S coupled to a reservoir R is analyzed in the Hilbert space H SR = H S ⊗ H R , where H R = L 2 (R) and H S = l 2 I , with I standi...
Article
Full-text available
For a continuous and strictly monotonic function f defined on an interval I of positive reals, the function Mf ( x,y ) = f - 1 ( \fracxf(x) + yf(y) x + y ),x,y Î I M_{f} {\left( {x,y} \right)} = f^{{ - 1}} {\left( {\frac{{xf(x) + yf(y)}} {{x + y}}} \right)},x,y\, \in {I} is a mean. Assuming that at least one of f and g is four times continuously...
Preprint
Full-text available
For a bijective $\phi : (0,1) \to (0,1)$, and two constants $a, b > 0$, let $g : (0,1) × (0,1) \to (0,1)$ be a pseudo-mean defined as follows, (*) $g(x, y) := \phi^{-1} (a ·\phi(x) + b · \phi(y))$ , for $x, y \in (0,1)$ . The following fact is proved: For every pair of $a$ and $b$, function $g$ determines $\phi$ uniquely, up to a multiplicative con...
Article
Full-text available
Leth be a selfmapping ofR + h is a homeomorphism without fixed points and 1 < Dh < ¥,h is a homeomorphism without fixed points and 1< Dh< \infty , ((Z))whereDh ht ( x ) = ht,¥ ( x ): = limn ® ¥ hn (dt h - n (x)),x Î \mathbbR+ ,where = Dh,h_t \left( x \right) = h_{t,\infty } \left( x \right): = \mathop {\lim }\limits_{n \to \infty } h^n (d^t \cdot...
Article
Full-text available
Let n X (.) , n ∈ N , be a sequence of homogeneous semi-Markov processes (HSMP) on a countable set K, all with the same initial p.d. concentrated on a subset J, ∅ = J ⊂ K J = K. The subrenewal kernels which are restrictions of the corresponding renewal kernels n Q on K × K to J × J are assumed to be suitably convergent to a renewal kernel P (on J ×...
Article
Full-text available
Norms of the embeddings of AC_q into L_p(I) are given for 0 < p \le \infty. They are known from the results by V.M. Tichomirov (1975) for 1 \le p \le \infty. The extreme functions are expressed explicitly in terms of the beta distribution functions.The results apply to an extension of the functional H.Finkelstein's LIL (1971). Similar results were...
Article
Full-text available
A differential equation of the radiance reflectance is derived. It is valid for horizontally homogeneous vertically stratified layers, i.e. when the inherent parameters depend on the depth only. The considerations apply to any monochromatic radiation with arbitrary angular distribution; the azimuthal invariance is not required. For homogeneous laye...
Article
Full-text available
Estimating the reliability function of the renewed system based on the data before the renewal (in Polish) https://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ojs-doi-10_14708_ma_v11i22_1585/c/1585-1492.pdf
Article
It is shown that the joint unconditional density function of demand and supply is a computable function of parameters of the conditional density function of the observed quantity. Propositions of formulating unconditional and conditional disequilibrium measures are suggested.
Article
Full-text available
The paper presents a phenomenological model of the effect of capture of dispergated phase particles in fissures during a flow of suspension through those fissures. The flow of the diphase liquid and related phenomena are treated as the flow of a homogeneous liquid through a region of variable geometrical structure. The particlesof different sizes c...
Article
Full-text available
Spline interpolating basis in C^k(I) is constructed for k=2m+2, with m=-1,0,... The splines are of degree k+1 (without defect). The end conditions for the interpolating splines depend only on the values of the expanded function, not on its derivalives. It follows that the constructed sequence of splines of degree k+1 is simultaneously a basis in al...
Article
Full-text available
Full text available also at: http://ictp.acad.ro/jnaat/journal/article/view/1976-vol5-no1-art1
Article
Full-text available
Article
Full-text available
In the theory presented the following phenomena have been analysed from a uniform point of view: 1) concentration quenching 2) quenching by foreign absorbing substances 3) concentration depolarization of photoluminescence. The participation of primarily unexcited molecules of the donor in the process of energy transfer to the molecules of the accep...
Article
Full-text available
ABSTRACT: In the theory presented the following phenomena have been analysed from a uniform point of view: 1) concentration quenching 2) quenching by foreign absorbing substances 3) concentration depolarization of photoluminescence. The participation of primarily unexcited molecules of the donor in the process of energy transfer to the molecules of...
Article
Original title: O dwóch przedstawieniach funkcji giętych
Article
Full-text available
The quenching of photoluminescence by foreign ab-sorbing substances may be described by the following, well-known expression, obtained by FÖRSTER as well as by other authors independently. . . Recently we have obtained the following expression for the relative quantum yield of the donor's photoluminescence . . . . the full text is available also a...

Questions

Questions (4)

Network

Cited By

Projects

Projects (4)
Project
The project "SRT models with gravity" is open for showing in front of interested researchers, also with their participation, to what extend one can estimate (calculate approximately) some features of relativistic motion described as geodesics in the GR by suitably chosen gravity forces in flat Minkowski space. The pattern examples of problems of this type are the perihelion motion of planets moving on almost elliptical orbits, and the motion with constant acceleration. One of the aims is to establish which assumption leads to better comparison: "gravitational mass equals the relativistic mass" or "gravitational mass equals the rest mass".
Project
Research and pedagogical contributions to celebrated mathematical themes. Solving a few types of problems by means of elementary techniques.