Garbaczewski, Piotr; Żaba, Mariusz Lévy processes in bounded domains: path-wise reflection scenarios and signatures of confinement. (English) Zbl 1507.60063 J. Phys. A, Math. Theor. 55, No. 30, Article ID 305005, 26 p. (2022). MSC: 60G51 60G65 PDFBibTeX XMLCite \textit{P. Garbaczewski} and \textit{M. Żaba}, J. Phys. A, Math. Theor. 55, No. 30, Article ID 305005, 26 p. (2022; Zbl 1507.60063) Full Text: DOI arXiv
Garbaczewski, Piotr; Żaba, Mariusz Brownian motion in trapping enclosures: steep potential wells, bistable wells and false bistability of induced Feynman-Kac (well) potentials. (English) Zbl 1519.60096 J. Phys. A, Math. Theor. 53, No. 31, Article ID 315001, 39 p. (2020). MSC: 60J70 60J65 PDFBibTeX XMLCite \textit{P. Garbaczewski} and \textit{M. Żaba}, J. Phys. A, Math. Theor. 53, No. 31, Article ID 315001, 39 p. (2020; Zbl 1519.60096) Full Text: DOI arXiv
Garbaczewski, Piotr; żaba, Mariusz Nonlocal random motions and the trapping problem. (English) Zbl 1371.60081 Acta Phys. Pol. B 46, No. 2, 231-246 (2015). MSC: 60G51 PDFBibTeX XMLCite \textit{P. Garbaczewski} and \textit{M. żaba}, Acta Phys. Pol. B 46, No. 2, 231--246 (2015; Zbl 1371.60081) Full Text: DOI arXiv
żaba, Mariusz; Garbaczewski, Piotr; Stephanovich, Vladimir Trajectory statistics of confined Lévy flights and Boltzmann-type equilibria. (English) Zbl 1371.60080 Acta Phys. Pol. B 44, No. 5, 1109-1122 (2013). MSC: 60G51 82C31 PDFBibTeX XMLCite \textit{M. żaba} et al., Acta Phys. Pol. B 44, No. 5, 1109--1122 (2013; Zbl 1371.60080) Full Text: DOI arXiv
Garbaczewski, Piotr; Stephanovich, Vladimir Lévy flights and nonlocal quantum dynamics. (English) Zbl 1284.81012 J. Math. Phys. 54, No. 7, 072103, 34 p. (2013). MSC: 81P05 60G51 35S05 81Q40 70H40 81V80 PDFBibTeX XMLCite \textit{P. Garbaczewski} and \textit{V. Stephanovich}, J. Math. Phys. 54, No. 7, 072103, 34 p. (2013; Zbl 1284.81012) Full Text: DOI arXiv
Czopnik, Radosław; Garbaczewski, Piotr Frictionless random dynamics: Hydrodynamical formalism. (English) Zbl 1005.70014 Physica A 317, No. 3-4, 449-471 (2003). MSC: 70G10 60H30 82C40 PDFBibTeX XMLCite \textit{R. Czopnik} and \textit{P. Garbaczewski}, Physica A 317, No. 3--4, 449--471 (2003; Zbl 1005.70014) Full Text: DOI arXiv
Garbaczewski, Piotr Parametric dynamics of level spacings in quantum chaos. (English) Zbl 0983.81023 Phys. Lett., A 293, No. 1-2, 23-28 (2002). MSC: 81Q50 60K40 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Phys. Lett., A 293, No. 1--2, 23--28 (2002; Zbl 0983.81023) Full Text: DOI arXiv
Garbaczewski, Piotr; Olkiewicz, Robert Ornstein-Uhlenbeck-Cauchy process. (English) Zbl 1056.82009 J. Math. Phys. 41, No. 10, 6843-6860 (2000). MSC: 82C31 60G52 60H10 60J25 PDFBibTeX XMLCite \textit{P. Garbaczewski} and \textit{R. Olkiewicz}, J. Math. Phys. 41, No. 10, 6843--6860 (2000; Zbl 1056.82009) Full Text: DOI arXiv
Garbaczewski, Piotr Stochastic models of exotic transport. (English) Zbl 1059.82529 Physica A 285, No. 1-2, 187-198 (2000). MSC: 82C70 60K35 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Physica A 285, No. 1--2, 187--198 (2000; Zbl 1059.82529) Full Text: DOI arXiv
Garbaczewski, Piotr; Olkiewicz, Robert Cauchy noise and affiliated stochastic processes. (English) Zbl 0958.60070 J. Math. Phys. 40, No. 2, 1057-1073 (1999). Reviewer: A.V.Yakimov (Novgorod) MSC: 60J25 60J75 PDFBibTeX XMLCite \textit{P. Garbaczewski} and \textit{R. Olkiewicz}, J. Math. Phys. 40, No. 2, 1057--1073 (1999; Zbl 0958.60070) Full Text: DOI arXiv
Garbaczewski, Piotr Probability and quanta: Why back to Nelson? (English) Zbl 0940.60092 Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 191-199 (1998). Reviewer: Robert Alicki (Gdansk) MSC: 60K40 82C31 81P20 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Banach Cent. Publ. 43, 191--199 (1998; Zbl 0940.60092) Full Text: EuDML
Blanchard, Philippe; Garbaczewski, Piotr; Olkiewicz, Robert Non-negative Feynman-Kac kernels in Schrödinger’s interpolation problem. (English) Zbl 0870.35046 J. Math. Phys. 38, No. 1, 1-15 (1997). MSC: 35K10 60J70 PDFBibTeX XMLCite \textit{P. Blanchard} et al., J. Math. Phys. 38, No. 1, 1--15 (1997; Zbl 0870.35046) Full Text: DOI arXiv
Garbaczewski, Piotr; Olkiewicz, Robert Feynman-Kac kernels in Markovian representations of the Schrödinger interpolating dynamics. (English) Zbl 0869.60101 J. Math. Phys. 37, No. 2, 732-751 (1996). MSC: 60K40 82C31 PDFBibTeX XMLCite \textit{P. Garbaczewski} and \textit{R. Olkiewicz}, J. Math. Phys. 37, No. 2, 732--751 (1996; Zbl 0869.60101) Full Text: DOI arXiv
Garbaczewski, P. Schrödinger’s interpolation problem through Feynman-Kac kernels. (English) Zbl 0966.82512 Acta Phys. Pol. B 27, No. 3, 617-642 (1996). MSC: 82C31 60J60 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Acta Phys. Pol. B 27, No. 3, 617--642 (1996; Zbl 0966.82512) Full Text: arXiv
Garbaczewski, P. The Ehrenfest theorem for Markov diffusions. (English) Zbl 0865.60097 Haba, Zbigniew (ed.) et al., Stochasticity and quantum chaos. Proceedings of the 3rd Max Born Symposium, Sobótka Castle, Poland, September 15-17, 1993. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 317, 57-62 (1995). MSC: 60K35 82B05 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Math. Appl., Dordr. 317, 57--62 (1995; Zbl 0865.60097)
Garbaczewski, Piotr Lévy processes and relativistic quantum dynamics. (English) Zbl 0835.60095 Garbaczewski, Piotr (ed.) et al., Chaos: the interplay between stochastic and deterministic behaviour. Proceedings of the XXXIst winter school of theoretical physics held in Karpacz, Poland, 13-24 February 1995. Karpacz: Springer-Verlag. Lect. Notes Phys. 457, 75-86 (1995). MSC: 60K40 81S25 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Lect. Notes Phys. 457, 75--86 (1995; Zbl 0835.60095)
Garbaczewski, Piotr Rotational diffusions as seen by relativistic observers. (English) Zbl 0761.60077 J. Math. Phys. 33, No. 10, 3393-3401 (1992). MSC: 60K40 83B05 PDFBibTeX XMLCite \textit{P. Garbaczewski}, J. Math. Phys. 33, No. 10, 3393--3401 (1992; Zbl 0761.60077) Full Text: DOI Link
Garbaczewski, Piotr On the concepts of stochastic mechanics: Random versus deterministic paths. (English) Zbl 0818.60099 Kasprzak, Wacław (ed.) et al., Proceedings of the 1989 COSMEX meeting on stochastic methods in experimental sciences, held in Szklarska Poreba, Poland, 8-14 September, 1989. Singapore: World Scientific. 159-166 (1990). MSC: 60K40 81S40 PDFBibTeX XMLCite \textit{P. Garbaczewski}, in: Proceedings of the 1989 COSMEX meeting on stochastic methods in experimental sciences, held in Szklarska Poreba, Poland, 8-14 September, 1989. Singapore: World Scientific. 159--166 (1990; Zbl 0818.60099)
Garbaczewski, P. Stochastic quantization of the Fermi oscillator: non-\(Z_ 2\) route. (English) Zbl 0569.60099 Univ. Bielefeld, Forschungszentr. Bielefeld-Bochum-Stochastik 62, 10 p. (1985). MSC: 60K35 81P20 PDFBibTeX XML