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Research Center BiBoS


Bielefeld-Bonn-Stochastics

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 City of Bielefeld
 City of Bonn
 

 Research Group Spectral
      analysis and stochastic
      dynamics
 

 University of Bielefeld
 Faculty of Physics
 Theoretical Physics
 Mathematical Physics
 

 University of Bonn
 Faculty of Mathematics
      and Natural Sciences
 Institute of Applied
      Mathematics
 Probability Theory
      and Statistics
 IZKS

Scientific Publications

A. Lascheck, P. Leukert, L. Streit, W. Westerkamp: Quantum Mechanical Propagators in Terms of Hida Distributions, Rep. Math. Phys. (1993)

Ph. Blanchard, A. Jadczyk: Strongly coupled quantum and classical systems and Zeno effect, Physics Letters A 183, 272-276 (1993)

Ph. Blanchard, D. Gandolfo: Cellular Automata Approach to site percolation on Z2, Journal of Statistical Physics 73, 399-408 (1993)

T. Hida, H.H. Kuo, J. Potthoff, L. Streit: "White Noise. An infinite dimensional calculus" Kluwer Academic 1993

J. Potthoff, L. Streit: Invariant states on random and quantum fields, phy-bounds and white noise analysis, J.Funct. Anal. 111, 295-311 (1993)

A. Lascheck, P. Leukert, L. Streit, W. Westerkamp: More about Donsker's delta function, Soochow Math. J. 20, 401-418 (1994)

L. Streit: An Introduction to White Noise Analysis, in: Stochastic Analysis and Applications in Physics (A.I. Cardoso, M. de Faria, J. Potthoff, R. Seneor, L. Streit, eds.), Kluwer, Dordrecht 1994

M. de Faria, L. Streit: Some Recent Results in White Noise Analysis, in: Stochastic analysis on infinite dimensional spaces (H. Kunita, H.H. Kuo, eds.), Longman 1994

Ph. Blanchard, P. Garbaczewski: Natural boundaries for the Smoluchowski equation and affiliated diffusion processes, Physical Review E 49, 3815-3824 (1994)

S. Albeverio, S. Molchanov, D. Surgailis: Stratified structure of the universe and the Burgers equation - a probabilistic approach, Prob. Th. Rel. Fields 100, 457-484 (1994)

L. Streit: Hida Distributions and More, in: Mathematical Approach to Fluctuations II (T. Hida, ed.), World Scientific 1995

Yu. Kondratiev, L. Streit, W. Westerkamp: A Note on Positive Distributions in Gaussian Analysis, Ukrainian Math. J 47, 649-658 (1995)

S.Albeverio, Yu. Kondratiev, M. Röckner: Dirichlet operators and stochastic analysis, J. Funct. Anal. 128, 102-138 (1995)

M. de Faria, L. Streit: Nonlinearity and White Noise, in: Fluctuation Phenomenia: Disorder and Nonlinearity, (A.R. Bishop et al., eds.), World Scientific, Singapore, 1995

Ph. Blanchard, A. Jadczyk: Quantum mechanics with event dynamics, Reports on Math. Phys. 36, 235-243 (1995)

Yu. G. Kondratiev, P. Leukert, J. Potthoff, L. Streit, W. Westerkamp: Generalized Functionals in Gaussian Spaces: The Characterization Theorem Revisited, J. Funct. Anal. 141, 301-318 (1996)

Yu. G. Kondratiev, P. Leukert, L. Streit: Wick Calculus in Gaussian Analysis, Acta Appl. Math., 44, 269-294 (1996)

S.Albeverio, Y. Datetzky, Yu. G. Kondratiev, L. Streit: Non-Gaussian infinite dimensional analysis, J. Funct. Anal. 138, 311-349 (1996)

L. Streit: Stochastic Differential Equations. a Pedagogical Random Walk, in: Nonlinear Klein-Gordon and Schrödinger Systems (L. Vazquez, L. Streit, V.M. Perez-Garcia, eds.), World Scientific, Singapore, 1996

Ph. Blanchard, A. Jadczyk: Theory of Events, in: Nonlinear, dissipative, irreversible quantum Systems, World Scientific, Singapore, 1996, 265-272

Ph. Blanchard, J. Stubbe: Bound states for Schrödinger Hamiltonians: Phase space methods and applications, Rew. Math. Phys., 503-548 (1996)

Ph. Blanchard, A. Jadczyk, R. Olkiewicz: Time of events in quantum theory, Hel. Phys. Acta 69, 613-635 (1996)

Y.G. Kondratiev, J.L. da Silva, L. Streit and G.F. Us: Analysis on Poisson and Gamma Spaces, to appear in Infinite Dimensional Analysis Quantum Probabilities and Related Topics. First issue September 1997.

M. Grothaus, D.C. Khandeker, J.L. da Silva and L. Streit: The Feynman Integral for Time Dependent Anharmonic Oscillators, J. Math. Phys. 38, 6, 3278-3299 (1997)

A. Jadczyk, G. Kondrat, R. Olkiewicz: On uniqueness of the jump process in event enhanced quantum theory, J. Phys. A 30, 1863-1880 (1997)

Yu. Kondratiev, L. Streit, J.-A. Yan, W. Westerkamp: Generalized Functions in Infinite Dimensional Analysis, Erscheint im Hiroshima Math. J.

L. Streit: The Feynman Integral. Answers and Questions, Proc. Opening Conference RCTP, Bohol, Philippinen

M. de Faria, T. Hida, L. Streit, H. Watanabe: Intersection Local Times and White Noise Analysis, Erscheint in Acta Appl. Math.

Ph. Blanchard, B. Cessac, T. Krüger: Dynamical system approach for soc models of Zhang's type, to appear in J. Stat. Phys.

Ph. Blanchard, A. Jadczyk, R.: Time and Events in Quantum Theory, to appear in Internat. J. Theoret. Phys.

 
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