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Nonlocalization Properties of Time Operators Transformations Sorger, Ulrich ; Suchanecki, Zdzislaw in International Journal of Theoretical Physics (2015), 54(4), 787-800 It is presented a general approach to the problem of extension of time operators and the associated Lambda transformations on singular measures. It is also shown that Lambda transformations defined on ... [more ▼] It is presented a general approach to the problem of extension of time operators and the associated Lambda transformations on singular measures. It is also shown that Lambda transformations defined on function spaces having the Urysohn property are non localized. Particular attention has been devoted to time and Lambda operators associated with the Walsh-Paley system and to a characterization of their domain and non locality. [less ▲] Detailed reference viewed: 136 (18 UL)Spectral models for orthonormal wavelets and related algorithms ; Suchanecki, Zdzislaw ; in Journal of Physics: Conference Series (2014), 490 This work presents new methods for constructing orthonormal wavelets from certain families of Hardy functions. Inner functions and the corresponding backward shift invariant subspaces are in the core of ... [more ▼] This work presents new methods for constructing orthonormal wavelets from certain families of Hardy functions. Inner functions and the corresponding backward shift invariant subspaces are in the core of the structure of these families. The new algorithms focus on the local shape of the wavelets, a property making them especially useful for pattern recognition. [less ▲] Detailed reference viewed: 56 (2 UL)Orthonormal MRA wavelets: Spectral formulas and algorithms ; Suchanecki, Zdzislaw ; in International Journal of Wavelets, Multiresolution & Information Processing (2012), 10(1), Detailed reference viewed: 52 (0 UL)On Lambda transformation approach to the theory of irreversibility ; Suchanecki, Zdzislaw in Bussei Kenkyu (2012), 97(3), 398-413 Detailed reference viewed: 24 (2 UL)Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R) ; Suchanecki, Zdzislaw in Journal of Fourier Analysis and Applications (2011), 17(2), 191-225 Spectral representations of the dilation and translation operators on L2(R) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid ... [more ▼] Spectral representations of the dilation and translation operators on L2(R) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid operator-valued functions defined on the functional spectral spaces. The approach is useful for computational purposes. [less ▲] Detailed reference viewed: 14 (0 UL)Inner functions and local shape of orthonormal wavelets ; Suchanecki, Zdzislaw in Applied & Computational Harmonic Analysis (2011), 30(3), 273-287 Conditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable orthonormal bases (ONBs) related with the translation and dilation operators. A particular choice of the ONBs ... [more ▼] Conditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable orthonormal bases (ONBs) related with the translation and dilation operators. A particular choice of the ONBs, the so-called Haar bases, leads to new methods for constructing orthonormal wavelets from certain families of Hardy functions. Inner functions and the corresponding backward shift invariant subspaces articulate the structure of these families. The new algorithms focus on the local shape of the wavelet. [less ▲] Detailed reference viewed: 37 (0 UL)Delays of Interconnected Flows Sorger, Ulrich ; Suchanecki, Zdzislaw in International Journal of Theoretical Physics (2011), 50 A rigorous approach to flows of particles in networks is presented. Under the assumption of independence of the transversal flows the asymptotic distributions of inter-delay times between particles are ... [more ▼] A rigorous approach to flows of particles in networks is presented. Under the assumption of independence of the transversal flows the asymptotic distributions of inter-delay times between particles are shown to be log-normal. In the case of dependent transversal traffic the ARCH and GARCH time series models, as well as martingale approach, have been applied. [less ▲] Detailed reference viewed: 77 (1 UL)On Lambda and Time Operators: the Inverse Intertwining Problem Revisited ; Suchanecki, Zdzislaw ; in International Journal of Theoretical Physics (2011), 50 An exact theory of irreversibility was proposed by Misra, Prigogine and Courbage, based on non-unitary similarity transformations Λ that intertwine reversible dynamics and irreversible ones. This would ... [more ▼] An exact theory of irreversibility was proposed by Misra, Prigogine and Courbage, based on non-unitary similarity transformations Λ that intertwine reversible dynamics and irreversible ones. This would advocate the idea that irreversible behavior would originate at the microscopic level. Reversible evolution with an internal time operator have the intertwining property. Recently the inverse intertwining problem has been answered in the negative, that is, not every unitary evolution allowing such Λ-transformation has an internal time. This work contributes new results in this direction. [less ▲] Detailed reference viewed: 38 (0 UL)Evolution semigroups and time operators on Banach spaces Suchanecki, Zdzislaw ; in Journal of Mathematical Analysis & Applications (2010), 371(2), 454-464 We present new general methods to obtain shift representation of evolution semigroups defined on Banach spaces. We introduce the notion of time operator associated with a generalized shift on a Banach ... [more ▼] We present new general methods to obtain shift representation of evolution semigroups defined on Banach spaces. We introduce the notion of time operator associated with a generalized shift on a Banach space and give some conditions under which time operators can be defined on an arbitrary Banach space. We also tackle the problem of scaling of time operators and obtain a general result about the existence of time operators on Banach spaces satisfying some geometric conditions. The last part of the paper contains some examples of explicit constructions of time operators on function spaces. [less ▲] Detailed reference viewed: 40 (0 UL)A Multiplicative Law of Network Traffic and Its Consequences. Melakessou, Foued ; Sorger, Ulrich ; Suchanecki, Zdzislaw in Acta Physica Polonica B (2009), 40(5), 1507-1525 Detailed reference viewed: 51 (0 UL)Time Operators and Approximation of Continuous Functions Sorger, Ulrich ; Suchanecki, Zdzislaw in Int. J. Theor. Phys. (2008), 47 Detailed reference viewed: 75 (3 UL)How Can Path Diversity Help Transmission Protocols in the Achievement of a Better Connection Qos? Melakessou, Foued ; Sorger, Ulrich ; Suchanecki, Zdzislaw in Proceedings of the 6th ACS/IEEE International Conference on Computer Systems and Applications AICCSA'08 (2008) Detailed reference viewed: 69 (0 UL)How Can Route Diversity Improve the Internet Traffic? Melakessou, Foued ; Sorger, Ulrich ; Suchanecki, Zdzislaw in ECTI Transactions on Electrical Engineering, Electronics, and Communications (2008), 6(2), 93105 Detailed reference viewed: 56 (0 UL)Breakdown of Time-Reversal Symmetry: Intrinsic Randomness, Time Operator, Scattering ; Suchanecki, Zdzislaw in Journal of Geometry and Symmetry in Physics (2008), 11 Misra-Prigogine-Courbage theory of irreversibility is revisited on the basis of Nagy-Foia~ dilation theory and Halmos-Helson theory of invariant sub-spaces. Universal models for intrinsically random ... [more ▼] Misra-Prigogine-Courbage theory of irreversibility is revisited on the basis of Nagy-Foia~ dilation theory and Halmos-Helson theory of invariant sub-spaces. Universal models for intrinsically random dynamics are given as well as equivalent conditions to the existence of internal time operators, where innovation processes and Lax-Phillips scattering appear in a natural way. [less ▲] Detailed reference viewed: 50 (0 UL)Route Diversity: A Future For Transmission Protocols Sorger, Ulrich ; Melakessou, Foued ; Suchanecki, Zdzislaw et al in Proceedings of the 2007 Fourth International Conference on Broadband Communications, Networks and Systems BROADNETS 2007 (2007) Detailed reference viewed: 81 (0 UL)MPTCP: Concept of a Flow Control Protocol Based on Multiple Paths for the Next Generation Internet 2007 Sorger, Ulrich ; Melakessou, Foued ; Suchanecki, Zdzislaw in Proceedings of the 7th International Symposium on Communications and Information Technologies ISCIT'07 (2007) Detailed reference viewed: 72 (2 UL)On The Road Towards The Comprehension Of The Internet Traffic Behavior: Simulation And Analysis Of An End-To-End Connection With NS-2 Sorger, Ulrich ; Melakessou, Foued ; Suchanecki, Zdzislaw in Abstract book of 10th Communications and Networking Simulation Symposium CNS'07 (2007), (Proceedings of the 10th Communications and Networking Simulation Symposium CNS'07 Norfolk Marriott Waterside, Norfolk, VA, USA, March 25 - 29, 2007), Detailed reference viewed: 67 (1 UL)Explicit form of the time operator of a gaussian stationary process Suchanecki, Zdzislaw in International Journal of Theoretical Physics (2004), 43 We present the time operator theory in the framework of stationary stochastic processes. The main results of the paper is the derivation of the time operator acting on the Fock space associated with a ... [more ▼] We present the time operator theory in the framework of stationary stochastic processes. The main results of the paper is the derivation of the time operator acting on the Fock space associated with a discrete time gaussian stationary process. [less ▲] Detailed reference viewed: 49 (0 UL)On the quantum Liouville space ; Suchanecki, Zdzislaw in Hida, T.; Saito, K.; Si, Si (Eds.) Quantum Information and Complexity (2004) Detailed reference viewed: 21 (0 UL) |
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