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Filip Murlak - One of the best experts on this subject based on the ideXlab platform.

  • The Wadge Hierarchy of Deterministic Tree Languages
    Logical Methods in Computer Science, 2008
    Co-Authors: Filip Murlak
    Abstract:

    We provide a complete description of the Wadge hierarchy for deterministically recognisable sets of infinite trees. In particular we give an Elementary Procedure to decide if one deterministic tree language is continuously reducible to another. This extends Wagner's results on the hierarchy of omega-regular languages of words to the case of trees.

  • ICALP (2) - The wadge hierarchy of deterministic tree languages
    Automata Languages and Programming, 2006
    Co-Authors: Filip Murlak
    Abstract:

    We provide a complete description of the Wadge hierarchy for deterministically recognizable sets of infinite trees. In particular we give an Elementary Procedure to decide if one deterministic tree language is continuously reducible to another. This extends Wagner's results on the hierarchy of ω-regular languages to the case of trees

  • The Wadge Hierarchy of Deterministic Tree Languages
    Lecture Notes in Computer Science, 2006
    Co-Authors: Filip Murlak
    Abstract:

    We provide a complete description of the Wadge hierarchy for deterministically recognizable sets of infinite trees. In particular we give an Elementary Procedure to decide if one deterministic tree language is continuously reducible to another. This extends Wagner's results on the hierarchy of ω-regular languages to the case of trees.

Franz Spirig - One of the best experts on this subject based on the ideXlab platform.

  • Elementary Derivation of Hopf Type Bifurcation Formulas
    From Newton to Chaos, 1995
    Co-Authors: Franz Spirig
    Abstract:

    In the case of a generalised Hopf bifurcation, several families of small periodic solutions may exist. An Elementary Procedure is presented for establishing those families as well as their stability behaviour, provided a certain non-degeneracy condition is satisfied. This seminar contribution gives a simplified version of [1], where further references may be found. The approach is based on the ideas of [2], [3]. The method is illustrated by deriving a well-known explicit bifurcation formula for the generic Hopf bifurcation.

  • An Elementary approach to a generalized Hopf bifurcation
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 1993
    Co-Authors: Franz Spirig
    Abstract:

    In the case of a generalized Hopf bifurcation several periodic solutions may branch off from the equilibrium. An Elementary Procedure is presented for establishing all those bifurcating solutions, as well as their stability behaviour, provided a certain non-degeneracy condition is satisfied. Im Falle einer verallgemeinerten Hopf-Verzweigung können mehrere periodische Lösungen von der Gleichgewichtslage abzweigen. Es wird ein elementares Verfahren vorgestellt, welches erlaubt, unter einer gewissen Nichtentartungsbedingung diese kleinen periodischen Lösungen sowie ihre Stabilität zu bestimmen.

  • An Elementary approach to a generalized Hopf bifurcation
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1993
    Co-Authors: Franz Spirig
    Abstract:

    In the case of a generalized Hopf bifurcation several periodic solutions may branch off from the equilibrium. An Elementary Procedure is presented for establishing all those bifurcating solutions, as well as their stability behaviour, provided a certain non-degeneracy condition is satisfied.

Yoel Tikochinsky - One of the best experts on this subject based on the ideXlab platform.

  • Elementary approximate derivations of some retarded Casimir interactions involving one or two dielectric walls
    Physical review. A Atomic molecular and optical physics, 1993
    Co-Authors: Larry Spruch, Yoel Tikochinsky
    Abstract:

    The original derivation by Lifshitz [Sov. Phys. 2, 73 (1956)] of P DD , the force per unit area between two plane parallel dielectric walls, is ertremely complicated; the later derivations are simpler but still difficult. The standard derivation of the interaction V AtD of an atom and a dielectric wall uses the expression for P DD as its starting point. The results are valid for all values of the separation l. For l∼∞, where the interactions are retarded, we obtain reasonably accurate approximate expressions for P DD and for V AtD -and also for V ElD , the retarded interaction of an electron and a dielectric wall-by the Elementary Procedure of assuming simple forms with one or two open parameters, adjusted to give the known results for retarded interactions which do not include dielectric walls

A.p.s. Selvadurai - One of the best experts on this subject based on the ideXlab platform.

Aimé Lachal - One of the best experts on this subject based on the ideXlab platform.

  • L'intégrale du mouvement brownien
    Journal of Applied Probability, 1993
    Co-Authors: Aimé Lachal
    Abstract:

    Let be the Brownian motion process starting at the origin, its primitive and U t = ( X t +x + ty, B t + y ), , the associated bidimensional process starting from a point . In this paper we present an Elementary Procedure for re-deriving the formula of Lefebvre (1989) giving the Laplace–Fourier transform of the distribution of the couple ( σ α , U σa ), as well as Lachal's (1991) formulae giving the explicit Laplace–Fourier transform of the law of the couple ( σ ab , U σab ), where σ α and σ ab denote respectively the first hitting time of from the right and the first hitting time of the double-sided barrier by the process . This method, which unifies and considerably simplifies the proofs of these results, is in fact a ‘vectorial' extension of the classical technique of Darling and Siegert (1953). It rests on an essential observation (Lachal (1992)) of the Markovian character of the bidimensional process . Using the same Procedure, we subsequently determine the Laplace–Fourier transform of the conjoint law of the quadruplet ( σ α , U σa , σ b , U σb ).