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Wyświetlanie 1-15 z 747
Tytuł:
Ergodic properties of skew products withfibre maps of Lasota-Yorke type
Autorzy:
Kowalski, Zbigniew
Powiązania:
https://bibliotekanauki.pl/articles/1340595.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Frobenius-Perron operator
invariant measure
motion of cogged bits
Opis:
We consider the skew product transformation T(x,y)= (f(x), $T_{e(x)}$) where f is an endomorphism of a Lebesgue space (X,A,p), e : X → S and ${T_s}_{s \in S}$ is a family of Lasota-Yorke type maps of the unit interval into itself. We obtain conditions under which the ergodic properties of f imply the same properties for T. Consequently, we get the asymptotical stability of random perturbations of a single Lasota-Yorke type map. We apply this to some probabilistic model of the motion of cogged bits in the rotary drilling of hard rock with high rotational speed.
Źródło:
Applicationes Mathematicae; 1993-1995, 22, 2; 155-163
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multifractal properties of the sets of zeroes of Brownian paths
Autorzy:
Dolgopyat, Dmitry
Sidorov, Vadim
Powiązania:
https://bibliotekanauki.pl/articles/1208355.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
independent random variables
Brownian motion
local time
Hausdorff dimension
self-similarity
Opis:
We study Brownian zeroes in the neighborhood of which one can observe a non-typical growth rate of Brownian excursions. We interpret the multifractal curve for the Brownian zeroes calculated in [6] as the Hausdorff dimension of certain sets. This provides an example of the multifractal analysis of a statistically self-similar random fractal when both the spacing and the size of the corresponding nested sets are random.
Źródło:
Fundamenta Mathematicae; 1995, 147, 2; 157-171
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the exponential Orlicz norms of stopped Brownian motion
Autorzy:
Peškir, Goran
Powiązania:
https://bibliotekanauki.pl/articles/1288072.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Brownian motion (Wiener process)
stopping time
exponential Young function
exponential Orlicz norm
Doob's maximal inequality for martingales
Burkholder-Gundy's inequality
Davis' best constants
Hermite polynomial
continuous (local) martingale
Ito's integral
the quadratic variation process
time change (of Brownian motion)
Kahane-Khinchin's inequalities
Opis:
Necessary and sufficient conditions are found for the exponential Orlicz norm (generated by $ψ_p(x) = exp(|x|^p)-1$ with 0 < p ≤ 2) of $max_{0≤t≤τ}|B_t|$ or $|B_τ|$ to be finite, where $B = (B_t)_{t≥0}$ is a standard Brownian motion and τ is a stopping time for B. The conditions are in terms of the moments of the stopping time τ. For instance, we find that $∥max_{0≤t≤τ}|B_t|∥_{ψ_1} < ∞$ as soon as $E(τ^{k}) = O(C^{k}k^{k})$ for some constant C > 0 as k → ∞ (or equivalently $∥τ∥_{ψ_1} < ∞$). In particular, if τ ∼ Exp(λ) or $|N(0,σ^2)|$ then the last condition is satisfied, and we obtain $∥max_{0≤t≤τ}|B_t|∥_{ψ_1} ≤ K √{E(τ)}$ with some universal constant K > 0. Moreover, this inequality remains valid for any class of stopping times τ for B satisfying $E(τ^{k}) ≤ C(Eτ)^{k}k^{k}$ for all k ≥ 1 with some fixed constant C > 0. The method of proof relies upon Taylor expansion, Burkholder-Gundy's inequality, best constants in Doob's maximal inequality, Davis' best constants in the $L^p$-inequalities for stopped Brownian motion, and estimates of the smallest and largest positive zero of Hermite polynomials. The results extend to the case of any continuous local martingale (by applying the time change method of Dubins and Schwarz).
Źródło:
Studia Mathematica; 1995-1996, 117, 3; 253-273
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on the functional law of the iterated logarithm for Lévys area process
Autorzy:
N’zi, Modeste
Eddahbi, M’hamed
Powiązania:
https://bibliotekanauki.pl/articles/1339281.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
law of the iterated logarithm
Lévy's area process
Brownian motion
maximum likelihood
Opis:
By using large deviation techniques, we prove a Strassen type law of the iterated logarithm, in Hölder norm, for Lévy's area process.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 2; 223-229
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A restriction theorem for the Heisenberg motion
Autorzy:
Ratnakumar, P. K.
Rawat, Rama
Thangavelu, S.
Powiązania:
https://bibliotekanauki.pl/articles/1219046.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hermite function
special Hermite function
Laguerre function
class-1 representation
Heisenberg motion group
Opis:
We prove a restriction theorem for the class-1 representations of the Heisenberg motion group. This is done using an improvement of the restriction theorem for the special Hermite projection operators proved in [13]. We also prove a restriction theorem for the Heisenberg group.
Źródło:
Studia Mathematica; 1997, 126, 1; 1-12
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of stochastic differential equations driven by α-stable Lévy motion
Autorzy:
Janicki, Aleksander
Michna, Zbigniew
Weron, Aleksander
Powiązania:
https://bibliotekanauki.pl/articles/1339273.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
α-stable Lévy motion
convergence of approximate schemes
stochastic differential equations with jumps
stochastic modeling
Opis:
In this paper we present a result on convergence of approximate solutions of stochastic differential equations involving integrals with respect to α-stable Lévy motion. We prove an appropriate weak limit theorem, which does not follow from known results on stability properties of stochastic differential equations driven by semimartingales. It assures convergence in law in the Skorokhod topology of sequences of approximate solutions and justifies discrete time schemes applied in computer simulations. An example is included in order to demonstrate that stochastic differential equations with jumps are of interest in constructions of models for various problems arising in science and engineering, often providing better description of real life phenomena than their Gaussian counterparts. In order to demonstrate the usefulness of our approach, we present computer simulations of a continuous time α-stable model of cumulative gain in the Duffie-Harrison option pricing framework.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 2; 149-168
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics
Autorzy:
Dyszlewicz, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/1339178.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stress equations of motion problem (SEMP)
micropolar elasticity theory
Opis:
A second axially-symmetric initial-boundary value problem of linear homogeneous isotropic micropolar elastodynamics in which the displacement and rotation take the forms $\underline{u}=(0,u_θ,0)$, $\underline{φ}=(φ_r,0,φ_z)$ ((r,θ,z) are cylindrical coordinates; cf. [17]) is formulated in a pure stress language similar to that of [12]. In particular, it is shown how $\underline{u}$ and $\underline{φ}$ can be recovered from a solution of the associated pure stress initial-boundary value problem, and how a singular solution corresponding to harmonic vibrations of a concentrated body couple in an infinite space can be obtained from the solution of a pure stress problem.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 251-265
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The influence of selected factors on the force value of internal friction of rye and wheat grains
Autorzy:
Fraczek, J.
Powiązania:
https://bibliotekanauki.pl/articles/26297.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Agrofizyki PAN
Tematy:
rye
motion
wheat
grain
friction change
biological material
cereal
measurement method
mechanical property
agricultural product
Źródło:
International Agrophysics; 1997, 11, 4
0236-8722
Pojawia się w:
International Agrophysics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of finite-dimensional distributions for integrals driven by α-stable Lévy motion
Autorzy:
Janicki, Aleksander
Powiązania:
https://bibliotekanauki.pl/articles/1338939.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stochastic integrals
α-stable Lévy motion
convergence rates
stochastic processes with jumps
Poissonian series representation
Opis:
We present a method of numerical approximation for stochastic integrals involving α-stable Lévy motion as an integrator. Constructions of approximate sums are based on the Poissonian series representation of such random measures. The main result gives an estimate of the rate of convergence of finite-dimensional distributions of finite sums approximating such stochastic integrals. Stochastic integrals driven by such measures are of interest in constructions of models for various problems arising in science and engineering, often providing a better description of real life phenomena than their Gaussian counterparts.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 4; 473-488
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Embedding of random vectors into continuous martingales
Autorzy:
Dettweiler, E.
Powiązania:
https://bibliotekanauki.pl/articles/1217593.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Skorokhod embedding
martingale
stochastic integral
Brownian motion
Opis:
Let E be a real, separable Banach space and denote by $L^0(Ω,E)$ the space of all E-valued random vectors defined on the probability space Ω. The following result is proved. There exists an extension ${\widetilde Ω}$ of Ω, and a filtration $({\widetilde ℱ}_t)_{t≥0}$ on ${\widetilde Ω}$, such that for every $X ∈ L^0(Ω,E)$ there is an E-valued, continuous $({\widetilde ℱ}_t)$-martingale $(M_t(X))_{t≥0}$ in which X is embedded in the sense that $X = M_τ(X)$ a.s. for an a.s. finite stopping time τ. For E = ℝ this gives a Skorokhod embedding for all $X ∈ L^0(Ω,ℝ)$, and for general E this leads to a representation of random vectors as stochastic integrals relative to a Brownian motion.
Źródło:
Studia Mathematica; 1999, 134, 3; 251-268
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A differential motion planning algorithm for controlling multi-robot systems handling a common object
Autorzy:
Tzafestas, C.
Prokopiou, P.
Tzafestas, S.
Powiązania:
https://bibliotekanauki.pl/articles/205881.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
robot
cooperative robots
incremental robot motion planning
manipulator kinematic
master and two-slaves system
multi-robot kinematics
multi-robot systems
path planning
rigidity condition
Opis:
Multi-robot systems have substantially increased capabilities over single-robot systems and can handle very large or peculiar objects. This paper presents a differential (incremental) motion planning algorithm for an m-robot system (m >or=2) to cooperatively transfer an object from an initial to a desired final position / orientation by rigidly holding it at given respective points Q[sub 1], Q[sub 2],..., Q[sub m]. One of the robots plays the role of a "master" while other robots operate in the "slave" mode maintaining invariant their relative positions and orientations during the system motion. The method employs the differential displacements of the end-effector of each robot arm. Then, the differential displacements of the joints of the m robots are computed for the application of incremental motion control. The algorithm was tested on many examples. A representative of them is shown here, concerning the case of three STAUBLI RX-90L robots similar to 6-dof PUMA robots. The results obtained show the practicality and effectiveness of the method, which, however, needs particular care for completely eliminating the cumulative errors that may occur.
Źródło:
Control and Cybernetics; 2000, 29, 2; 567-584
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A formal description of navigational process
Autorzy:
Jackowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/320952.pdf
Data publikacji:
2001
Wydawca:
Polskie Forum Nawigacyjne
Tematy:
nawigacja
ruch statku
sterowanie
modele matematyczne
navigation
ship motion
steering
mathematical model
Opis:
In this paper there is undertaken an attempt to present the formal description of the ship’s navigation process. This formal description takes into account not only all the most important ship’s characteristics that influence the ship’s motion but also all the most important environmental characteristics influencing the ship’s behaviour at sea. The formal description comprises the following issues: ship’s navigation process, navigational information, dynamic of the ship’s motion, equations describing the ship’s navigation process, and mathematical models of ship’s navigation process.
Źródło:
Annual of Navigation; 2001, 3; 41-74
1640-8632
Pojawia się w:
Annual of Navigation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic of elastic bodies in terms of plane frictional motion
Autorzy:
Szefer, G.
Powiązania:
https://bibliotekanauki.pl/articles/279688.pdf
Data publikacji:
2001
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
rigid body
dynamical equations
rough surface
frictional motion
Opis:
In the paper a general approach to dynamics of flexible systems in which displacements are resolved into displacements due to deformation and displacementsdue to rigid body motion, will be applied. A contact problem of bodies resting on frictional foundation and being in plane motion is stated and qualitatively discussed.
Dynamika ciał sprężystych w warunkach płaskiego ruchu szorstkiego. W pracy zastosowano ogólny opis dynamiki układów odkształcalnych, W których przemieszczenia są dekompozycją części wynikającej z deformacji oraz części wywołanej ruchem sztywnym. Sformułowano i przedyskutowano jakościowo problem kontaktu ciała leżącego na chropowatym podłożu i będącego w ruchu płaskim.
Źródło:
Journal of Theoretical and Applied Mechanics; 2001, 39, 2; 395-408
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy control for ship motion
Autorzy:
Broel-Plater, B.
Powiązania:
https://bibliotekanauki.pl/articles/320954.pdf
Data publikacji:
2001
Wydawca:
Polskie Forum Nawigacyjne
Tematy:
nawigacja
sterowanie rozmyte
ruch statku
wiatr
navigation
fuzzy control
ship motion
wind
Opis:
In the article a fuzzy-logic based algorithm for ship motion control is presented. The system operates in an open-closed loop control system with set-point changes and wind action being compensated. a detailed description of the feedback loop controller is given. The controller has a hierarchical structure, in which independent coordinated fuzzy-logic controllers for vessel motion components are situated. The controllers perform in two modes: as velocity controllers and position controllers. The paper is completed with computer simulations.
Źródło:
Annual of Navigation; 2001, 3; 31-40
1640-8632
Pojawia się w:
Annual of Navigation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hydraulic conditions of steady motion in an estuarial river section under wind influence
Autorzy:
Meyer, Z.
Coufal, R.
Powiązania:
https://bibliotekanauki.pl/articles/241091.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
hydraulic conditions
steady motion
river estuaries
wind influence
swelling
Opis:
The effect of wind influence upon swellings in river estuaries has been presented in this elaboration. The wind, which causes shear stresses at the water surface, changes the vertical profile of water flow velocity and therefore is a factor causing wind swell-ings. This problem is very important in the estuarial river sections, especialIy in river inflows to reservoirs (sea), when natural slopes of flowing water are smalI and com-ponents of gravity farce are not able to oppose the wind effect. Then wind backwater occurs.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 3; 59-83
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 747

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