S. N. Rasband, Chaotic Dynamics of Nonlinear Systems, p.230, 1990.

D. Ch and H. A. Et-poch, Lyapunov instability in a system of hard disks in equilibrium and nonequilibrium steay states, Phys. Rev. D, p.1485, 1996.

V. I. Oseledec, A multiplicative ergodic theorem, Trans. Moscow Math. Sco, p.197, 1968.

G. Benettin, C. Froeschle, and J. P. Et-scheidecker, Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom, Physical Review A, vol.19, issue.6, pp.2454-2460, 1979.
DOI : 10.1103/PhysRevA.19.2454

I. E. Farquhar, Ergodic Theory in Statistical Mechanics, p.235, 1964.

P. Billingsley, Ergodic Theory and information, pp.1965-193

M. Courbage, Une formulation microscopique du second principe de la thermodynamique: information et irréversibilité " . Annales de la Fondation Louis de Broglie, 1988.

G. E. Uhlenbeck, G. W. Ford, and R. I. , Lectures in Statistical Mechanics, Am. Math. Sco, p.181, 1963.

M. Courbage, Dynamics and the arrow of time, The Paradigm of Self- Organization II, pp.94-110, 1994.

M. Courbage, Intrinsic irreversibility of Kolmogorov dynamical systems, Physica A: Statistical Mechanics and its Applications, vol.122, issue.3, pp.459-482, 1983.
DOI : 10.1016/0378-4371(83)90043-2

R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics, p.742, 1975.

G. Bennetin, L. Galgani, A. Giorogilli, and J. M. Et-strelcyn, Lyapounov characteristic Exponents for smooth dynamical systems and for Hamiltonian systems; a method for all off them, pp.9-30, 1980.

L. A. Bunimovich and S. G. Ya, Statistical properties of lorentz gas with periodic configuration of scatterers, Communications in Mathematical Physics, vol.1, issue.2, pp.479-497, 1980.
DOI : 10.1007/BF02046760

L. A. Bunimovich, S. G. Ya, and N. I. Et-chernov, Markov partitions for twodimensional hyperbolic billiards, pp.45-105, 1990.

N. I. Chernov and L. S. Et-young, Decay of Correlations for Lorentz Gases and Hard Balls, Encyclopaedia Math. Sci. n ?, vol.101, pp.89-120, 2000.
DOI : 10.1007/978-3-662-04062-1_5

M. Courbage, Intrinsic irreversibility of Kolmogorov dynamical systems, Physica A: Statistical Mechanics and its Applications, vol.122, issue.3, pp.459-482, 1983.
DOI : 10.1016/0378-4371(83)90043-2

M. Courbage and B. Et-misra, On the equivalence between Bernoulli dynamical systems and stochastic Markov processes, Physica A: Statistical Mechanics and its Applications, vol.104, issue.3, pp.359-377, 1980.
DOI : 10.1016/0378-4371(80)90001-1

M. Courbage and G. Nicolis, Markov evolution and H-theorem under finite coarsegraining in conservative dynamical systems, Europhysics Letters, issue.11, pp.1-6, 1990.

M. Courbage and I. Et-prigogine, Intrinsic randomness and intrinsic irreversibility in classical dynamical systems, Proc. Natl. Acad. Sci. USA, pp.80-2412, 1983.
DOI : 10.1073/pnas.80.8.2412

G. Gallavotti and D. S. Et-ornstein, Billiards and Bernoulli schemes, Communications in Mathematical Physics, vol.14, issue.2, pp.83-101, 1974.
DOI : 10.1007/BF01651505

URL : http://projecteuclid.org/download/pdf_1/euclid.cmp/1103859996

P. L. Garrido, S. Goldstein, and J. L. Lebowitz, Boltzmann Entropy for Dense Fluids Not in Local Equilibrium, Physical Review Letters, vol.92, issue.5, pp.92-050602, 2004.
DOI : 10.1103/PhysRevLett.92.050602

P. Gaspard and H. Et-beijeren, When do tracer particles dominate the Lyapunov spectrum?, J. Stat. Phys, pp.314-671, 2002.

S. Goldstein, B. Misra, and B. Et-courbage, On intrinsic randomness of dynamical systems, Journal of Statistical Physics, vol.102, issue.1, pp.25-36, 1981.
DOI : 10.1007/BF01008481

S. Goldstein and S. Et-penrose, A nonequilibrium entropy for dynamical systems, Journal of Statistical Physics, vol.4, issue.1, pp.325-343, 1981.
DOI : 10.1007/BF01013304

B. Misra, I. Prigogine, and M. Et-courbage, From the deterministic dynamics to probabilistic descriptions, Physica A, pp.98-99, 1979.

Y. G. Sina¨?sina¨?, Dynamical systems with elastic reflections, Russian Mathematical Surveys, vol.25, issue.2, pp.137-189, 1970.
DOI : 10.1070/RM1970v025n02ABEH003794

Y. G. Sina¨?sina¨?, GIBBS MEASURES IN ERGODIC THEORY, Russian Mathematical Surveys, vol.27, issue.4, pp.21-69, 1972.
DOI : 10.1070/RM1972v027n04ABEH001383

Y. G. Sina¨?sina¨?, Topics in Ergodic Theory, 1994.

G. M. Zaslavsky and M. A. Et-edelman, Fractional kinetics: from pseudochaotic dyanamics to Maxwell's Demon, Physica D, pp.128-147, 0193.

C. W. Gardiner, Handbook of Stochadtic Methods, for Physics, Chemistry and the natural Sciences, p.442, 1994.

H. Baumgärtel, Introduction to Hardy spaces. Inter, J. Theor. Phys, pp.2213-2223, 2003.

M. Courbage, Mathematical problems of irreversible statistical mechanics for quantum systems. I: Analytic continuation of the collision and destruction operators by spectral deformation method, Journal of Mathematical Physics, vol.23, issue.4, pp.646-651, 1982.
DOI : 10.1063/1.525388

J. Perskill, Quantum information and computation, p.321

F. Roddier, Distributions et Transformation de Fourier, 1978.

L. Bellac and M. , IntroductionàIntroductionà l'information quantique, Paris: Belin, vol.126, 2005.

H. W. Zurek, Decoherence and the Transition from Quantum to Classical, Physics Today, vol.44, issue.10, pp.36-44, 1991.
DOI : 10.1063/1.881293

S. M. Kay and A. Et-maitland, Quantum Optics, p.568, 1970.

K. Friedrichs, On the perturbation of continuous spectra, Communications on Pure and Applied Mathematics, vol.120, issue.4, pp.361-406, 1948.
DOI : 10.1002/cpa.3160010404

T. D. Lee, Some special examples in renormalizable field theory, Phys. Rev, pp.95-1329, 1954.

T. D. Lee, R. Oeheme, and C. N. Et-yang, Remarks on Possible Noninvariance under Time Reversal and Charge Conjugation, Physical Review, vol.106, issue.2, pp.340-345, 1957.
DOI : 10.1103/PhysRev.106.340

C. B. Chiu and E. C. Et-sudarshan, Decay and evolution of the neuteral kaon, Phys. Rev. D, pp.42-3712, 1990.

D. H. Perkins, Introduction to High Energy Physics Cambridge N, 1987.

Q. Ho-kim and X. Y. Et-pham, Elementary Particles and Their Interactions, p.661, 1998.
DOI : 10.1007/978-3-662-03712-6

J. H. Christenson, J. W. Cronin, V. L. Fitch, and R. Et-turlay, Evidence for the 2? decay of the K 2 meson, Phys. Rev. Lett, pp.13-138, 1964.

J. P. Marchand, Rigorous results in scattering theory XA: Quantum Theory and Statistical Physics (Proceedings Tenth Boulder Summer Institute for Theoretical Physics, Lectures in Theoretical Physics Gordon and Breach, pp.49-90, 1967.

A. P. Grecos and I. Et-prigogine, Kinetic and ergodic properties of quantum systemsthe Friedrichs model, Physica A, pp.59-77, 1972.

M. Courbage, Spectral deformation techniques applied to the study of quantum statistical irreversible processes, Letters in Mathematical Physics, vol.27, issue.6, pp.451-457, 1977.
DOI : 10.1007/BF00398497

L. A. Khalfin, CP -violation problem beyond the standard Lee-Oheme-Yang theory, Irreversibility and Causality, p.295, 1998.

M. Courbage, Semi-Groups and Time Operators for Quantum Unstable Systems, International Journal of Theoretical Physics, vol.42, issue.8, pp.1-11, 2004.
DOI : 10.1007/s10773-006-9324-8

URL : https://hal.archives-ouvertes.fr/hal-00003052

G. Ordonez, T. Petrosky, E. Karpov, and T. Et-prigogine, Explicit construction of a time superoperator for quantum unstable systems, Chaos, Solitons and Fractals, pp.12-2591, 2001.

I. Antoniou, E. Karpov, G. Pronko, and E. Et-yarevsky, Oscillating Decay of an Unstable System, International Journal of Theoretical Physics, vol.42, issue.10, pp.42-2403, 2003.
DOI : 10.1023/B:IJTP.0000005966.53444.b8

A. Bohm, Irreversible quantum mechanics in the neutralK-system, International Journal of Theoretical Physics, vol.7, issue.11, pp.2239-2270, 1997.
DOI : 10.1007/BF02768924

P. Kielanowski, K 0 ??? $$\overline {K^0 }$$ system in the rigged hilbert space quantum mechanics
DOI : 10.1007/BFb0106789

P. Facchi and S. Pascazio, QUANTUM ZENO SUBSPACES AND DYNAMICAL SUPERSELECTION RULES, The Physics of Communication, p.688, 2001.
DOI : 10.1142/9789812704634_0015

R. Bertlmann, Bell inequalities and Decoherence in Particle Physics. quant-ph, Entanglement, 2006.

A. A. Andrianov, J. Taron, and R. Et-tarrach, Neutral kaons in medium: decoherence effects, Physics Letters B, vol.507, issue.1-4, pp.507-200, 2001.
DOI : 10.1016/S0370-2693(01)00463-4

J. Bernabeu, N. Mavromatos, and S. Et-sarkar, Decoherence induced CPT violation and entangled neutral mesons. hep-th/0606137, 2006.

R. Bertlmann, W. Grimus, and C. Et-hiesmayr, Open-quantum-system formulation of partcile decay, Phys. Rev. A, pp.73-054101, 2006.

E. Benatti, R. Floreanini, and R. Et-romano, Dissipative quantum dynamics. in Lecture Notes in Physics, pp.283-304, 2006.

D. Home and F. Et-selleri, Kaon physics from the point of view of local realism, J. Phys. A: Math. Gen, pp.24-1073, 1991.

F. Selleri, Einstein locality and the $$K^0 \bar K^0 $$ system, Lettere Al Nuovo Cimento Series 2, vol.36, issue.16, pp.521-530, 1983.
DOI : 10.1007/BF02725928

J. S. Bell, On the EPR paradox, Physics, issue.1, p.195, 1964.

A. Einstein, B. Podolsky, and N. Et-rosen, Can quantum-mechanical description of physical reality be considered complete? Physical Review, pp.47-777, 1935.

W. H. Zurek, Decoherence and the Transition from Quantum to Classical, Physics Today, vol.44, issue.10, p.36, 1991.
DOI : 10.1063/1.881293

P. Facchi and S. Pascazio, Quantum Zeno and inverse quantum zeno effects, Progress in OpticséditureOpticséditure Wolf E, p.600, 2006.
DOI : 10.1016/s0079-6638(01)80017-2

B. Misra, I. Prigogine, and M. Et-courbage, From the deterministic dynamics to probabiliistic descriptions, Physica A, pp.98-99, 1979.

B. Misra, I. Prigogine, and M. Et-courbage, Liapounov variable entropy and measurement in quantum mechanics, Proc. Natl. Acad. Sci. USA, pp.76-4768, 1979.

M. Courbage, On necessary and sufficient conditions for the existence of time and entropy operators in quantum mechanics, Letters in Mathematical Physics, vol.18, issue.6, p.425
DOI : 10.1007/BF00943427

R. De-la-madrid, Description of resonances within the reggid Hilbert space, AIP Conference Proceedings Contemporary Physics, 2006.

A. Bohm, Time Asymmetry and quantum theory of resonances and decay, Inter, J. of Theor. Phys, pp.2317-2338, 2003.

R. G. Newton, Scattering Theory of Waves and Particles, 1982.
DOI : 10.1007/978-3-642-88128-2

S. Weinberg, The Quantum Theory of Fields, 1995.

M. Courbage, Semi-Groups and Time Operators for Quantum Unstable Systems, International Journal of Theoretical Physics, vol.42, issue.8, pp.10-1007
DOI : 10.1007/s10773-006-9324-8

URL : https://hal.archives-ouvertes.fr/hal-00003052

M. Courbage, TIME OPERATOR IN QUANTUM MECHANICS AND SOME STOCHASTIC PROCESSES WITH LONG MEMORY, Cybernetics and Systems, vol.32, issue.3-4, pp.385-392, 2001.
DOI : 10.1080/01969720151033535

B. Misra and E. C. , Sudarshan The Zeno's paradox in quantum theory, J. Math. Phys, pp.18-756, 1977.

C. B. Chiu, E. C. Sudarshan, and B. Misra, Time evolution of unstable quantum states and a resolution of Zeno's paradox, Physical Review D, vol.16, issue.2, pp.16-520, 1977.
DOI : 10.1103/PhysRevD.16.520

L. P. Horwitz and J. P. Et-marchand, The decay-scattering system, Rocky Mountain Journal of Mathematics, vol.1, issue.1, pp.225-253, 1971.
DOI : 10.1216/RMJ-1971-1-1-225

M. Courbage, On necessary and sufficient conditions for the existence of time and entropy operators, Lett. Math. Phys, issue.4, pp.425-432, 1980.

E. C. Titchmarsh, Introduction to The Theory of Fourier Integrals, p.394, 1962.

A. Bohm and M. Et-gadella, Dirac kets, Gamov vectors and Gelfand Triplets. Lecture notes in physics 348, p.119, 1989.

A. Bohm, Quantum Mechanics: Foundations and Applications, 2001.

A. Bohm and N. L. Et-harshman, Quantum theory in the rigged hilbert space ??? Irreversibility from causality, Irreversibility and Causality, Lecture Note in Physics 504, 1998.
DOI : 10.1007/BFb0106783

A. Bohm, Time asymmetric quantum physics. arXiv:quant-ph, 1999.
DOI : 10.1103/physreva.60.861

URL : http://arxiv.org/abs/quant-ph/9902085

I. Antoniou, E. Karpov, G. Pronko, and E. Et-yarevsky, Quantum Zeno and anti-Zeno effects in the Friedrichs model, Physical Review A, vol.63, issue.6, pp.63-062110, 2001.
DOI : 10.1103/PhysRevA.63.062110

M. Courbage, T. Durt, and S. M. Saberi-fathi, Two-level Friedrichs model and kaonic phenomenology, Physics Letters A, vol.362, issue.2-3, pp.362-100, 2007.
DOI : 10.1016/j.physleta.2006.09.102

URL : https://hal.archives-ouvertes.fr/hal-00135121

M. Courbage, T. Durt, and S. M. Saberi-fathi, Quantum-mechanical decay laws in the neutral kaons, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.11, pp.40-2773, 2007.
DOI : 10.1088/1751-8113/40/11/012