Last Call for ICCA11 Mini-symposium: Quaternion & Clifford Fourier transforms & wavelets 3 (QCFTW3), abstract submission: 04 June 2017

Last Call for ICCA11 Mini-symposium: Quaternion & Clifford Fourier transforms & wavelets 3 (QCFTW3)

Abstract Submission: Please submit the QCFTW3 abstract you will present (at most 1 page) online by 04 June 2017:

Dear Colleagues,

On behalf of the Scientific Committee of ICCA11, it is a great pleasure for us to invite you to the historic city of Ghent (Belgium) to present some of your latest results.

We are organizing a 3rd session on Quaternion and Clifford Fourier transforms and wavelets (QCFTW3) at Ghent University, Ghent, 7-11 Aug. 2017 as part of

11th International Conference on Clifford Algebras and their Applications 2017  (ICCA11)

Description. Quaternion and Clifford Fourier and Wavelet Transforms as refinement and generalization of the 1D complex Fourier and wavelet theory play an increasing role in different areas of mathematics, physics, computer science, engineering, and beyond. We want to discuss the state of the art in mathematics and application of these hypercomplex Fourier and wavelet transforms and give ideas for new developments.

Idea.  We aim to bring together experts working in theoretical research and applied sciences active in fields related to quaternion and Clifford Fourier and wavelet transforms and extensions to other Clifford integral transforms (not restricted to the topics below). We intend to cover the discussion of these transforms and the presentation of new methods that develop and apply them.

History. Previous sessions have been organized at the conferences ICCA9 in Weimar (2011) and ICCA10 in Tartu (2014). They brought together contributions on this topic and related Clifford integral transforms. Proceedings appeared as a book with Springer: Quaternion and Clifford Fourier Transforms and Wavelets, TIM 27, Hitzer, E., Sangwine, S. J. (Eds.), 2013, and a special issue of AACA (due 2016).

Topics. We invite scientists and engineers working with discrete and continuous quaternion and Clifford Fourier and wavelet transforms in the following fields:

  • pure and applied Clifford analysis, geometric calculus, hypercomplex analysis, harmonic analysis, or quaternion analysis
  • solution of partial differential equations, boundary and initial value problems
  • approximation theory, sampling, and numerical simulations
  • wavelets with application in physics, visualization, signal analysis, (color) image processing, feature extraction, medical imaging, applications in numerical analysis
  • practical applications in engineering sciences in general, in particular in electrical engineering, robotics, classical mechanics, navigation, guidance and control systems, geographic information systems, seismology, and data registration

ICCA11 Best Presentation Award: If you are under 29 years old, then we encourage you to apply by 04 June 2017 for the new ICCA11 Best Presentation Award:

Proceedings. Proceedings of ICCA11, including our mini-symposium, will appear as a special issue of the journal Adv. of Appl. Cliff. Algs., Springer-Birkhäuser. Manuscripts (max. 15 pages) will be subject to the usual refereeing process, and are due Sunday, 03 December 2017.

Registration. When you register online for ICCA11, please indicate that your contribution is for this mini-symposium (QCFTW3).

Please feel free to contact us! With kind regards,

Hendrik De Bie (Ghent, Belgium)

Todd Ell (Burnsville, USA)

Eckhard Hitzer (Tokyo, Japan)

Steve Sangwine (Essex, UK)




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2 responses to “Last Call for ICCA11 Mini-symposium: Quaternion & Clifford Fourier transforms & wavelets 3 (QCFTW3), abstract submission: 04 June 2017

  1. merniu

    also here we mention some as say prof dr mircea orasanu and prof horia orasanu as followings
    Author Horia Orasanu
    The way in which such a system manifests itself cannot be exclusively predicted only by the behavior of individual elements. Its manifestation is also induced by the manner in which the elements relate in order to influence global behavior. The most significant properties of complex systems are emergence, self-organization, adaptability, etc. [1–4].
    Examples of complex systems can be found in human societies, brains, the Internet, ecosystems, biological evolution, stock markets, economies and many others [1, 2]. Particularly, polymers are examples of such complex systems. Their forms include a multitude of organizations starting from simple, linear chains of identical structural units and ending with very complex chains consisting of sequences of amino acids that form the building blocks of living fields. One of the most intriguing polymers in nature is DNA, which creates cells by means of a simple, but very elegant language. It is responsible for the remarkable way in which individual cells organize into complex systems, such as organs, which, in turn, form even more complex systems, such as organisms. The study of complex systems can offer a glimpse into the realistic dynamics of polymers and solve certain difficult problems (protein folding) [1–4].
    Correspondingly, theoretical models that describe the dynamics of complex systems are sophisticated [1–4]. However, the situation can be standardized taking into account that the complexity of interaction processes imposes various temporal resolution scales, while pattern evolution implies different freedom degrees [5].
    In order to develop new theoretical models, we must admit that complex systems displaying chaotic behavior acquire self-similarity (space-time structures seem to appear) in association with strong fluctuations at all possible space-time scales [1–4]. Then, in the case of temporal scales that are large with respect to the inverse of the highest Lyapunov exponent, the deterministic trajectories are replaced by a collection of potential trajectories, while the concept of definite positions by that of probability density. One of the most interesting examples is the collision process in complex systems, a case in which the dynamics of the particles can be described by non-differentiable curves.
    Since non-differentiability appears as the universal property of complex systems, it is necessary to construct a non-differentiable physics. Thus, the complexity of the interaction processes is replaced by non-differentiability; accordingly, it is no longer necessary to use the whole classical “arsenal” of quantities from standard physics (differentiable physics).
    This topic was developed within scale relativity theory (SRT) [6,7] and non-standard scale relativity theory (NSSRT) [8–22]. In this case, we assume that the movements of complex system entities take place on continuous, but non-differentiable, curves (fractal curves), so that all physical phenomena involved in the dynamics depend not only on space-time coordinates, but also on space-time scale resolution. From such a perspective, physical quantities describing the dynamics of complex systems may be considered fractal functions [6,7]. Moreover, the entities of the complex system may be reduced to and identified with their own trajectories, so that the complex system will behave as a special fluid lacking interaction (via their geodesics in a non-differentiable (fractal) space). We have called such fluid a “fractal fluid” [8–22].
    In the present paper, we shall introduce new concepts, like non-differentiable entropy, informational non-differentiable entropy, informational non-differentiable energy, etc., in the NSSRT approach (the scale relativity theory with an arbitrary constant fractal dimension).
    Complex systems are large interdisciplinary research topics that have been studied by means of a mixed basic theory that mainly derives from physics and computer simulation. Such systems are made of many interacting elementary units that are called “agents”.
    Based on a fractal potential, which is the “source” of the non-differentiability of trajectories of the complex system entities, we establish the relationships among non-differentiable entropy. The correlation fractal potential-non-differentiable entropy implies uncertainty relations in the hydrodynamic representation, while the correlation of informational non-differentiable entropy/informational non-differentiable energy implies specific uncertainty relations through a maximization principle of the informational non-differentiable entropy and for a constant value of the informational non-differentiable energy. The constant value of the informational non-differentiable energy made explicit for the harmonic oscillator induces a quantification condition. We note that there exists a large class of complex systems that take smooth trajectories. However, the analysis of the dynamics of these classes is reducible to the above-mentioned statements by neglecting their fractality.
    2. Hallmarks of Non-Differentiability
    Let us assume that the motion of complex system entities takes place on fractal curves (continuous, but non-differentiable). A manifold that is compatible with such movement defines a fractal space. The fractal nature of space generates the breaking of differential time reflection invariance. In such a context, the usual definitions of the derivative of a given function with respect to time [6,7],
    are equivalent in the differentiable case. The passage from one to the other is performed via Δt → − Δt transformation (time reflection invariance at the infinitesimal level). In the non-differentiable case, (dQ+dt) and (dQ−dt) are defined as explicit functions of t and dt,
    The sign (+) corresponds to the forward process, while (−) corresponds to the backward process. Then, in space coordinates dX, we can write [6,7]:
    with v± the forward and backward mean speeds,
    and dξ± a measure of non-differentiability (a fluctuation induced by the fractal properties of trajectory) having the average:

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  2. merniu

    here we consider some more aspects as say prof dr mircea orasanu and prof horia orasanu

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