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   Nonlocalization Properties of Time Operators TransformationsSorger, 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: 203 (19 UL)Delays of Interconnected FlowsSorger, 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: 143 (2 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: 104 (0 UL)Time Operators and Approximation of Continuous FunctionsSorger, Ulrich ; Suchanecki, Zdzislaw in International Journal of Theoretical Physics (2008), 47 Detailed reference viewed: 149 (4 UL)Global Deformations of the Virasoro algebra, current and affine algebra by Krichever-Novikov type algebrasSchlichenmaier, Martin ; in International Journal of Theoretical Physics (2007), 46 Detailed reference viewed: 60 (10 UL)Explicit form of the time operator of a gaussian stationary processSuchanecki, 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: 95 (0 UL) |
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