Oliver Knill Publications

Ol Knill Bibliographical entries of Jost Buergi, Max Wolf, Arthur Schuster and Fritz Zwicky in BEA, Springer, 2007, Editor-in-Chief: Thomas Hockey. Book due October 2007
J. Moser (Lecture notes by Oliver Knill) Selected chapters in the calculus of variations, Series: Lectures in Mathematics ETH Zürich, 2003, 140 pages.
O. Knill Random Schrödinger operators arising from lattice gauge fields I: existence and examples. J. of Math. Phys., 40, p. 5495-5510, 1999
O. Knill Weakly mixing invariant tori of Hamiltonian systems. Commun. Math. Phys, 204, 85-88, 1999 Springer Link
A. Hof, O. Knill Zero dimensional continuous spectrum for smooth differential equations on the torus. Ergod. Th. and Dyn. Systems, 18, 879-888, 1998 [local copy].
O. Knill A remark on quantum dynamics. Helvetica Physica Acta, 71, 233-241, 1998
O. Knill On nonconvex caustics of convex billiards ( local PDF), Elemente der Mathematik, 53(3), p. 89-106, 1998
O. Knill Singular continuous spectrum and quantitative rates of weakly mixing. Discrete and Continuous dynamical systems, 4, 1998, p. 33-42
O. Knill On the dynamics of a general unitary operator. Reports on Mathematical Physics, 40: 91-95, 1997
O. Knill, E.Reed. Complexity growth in almost periodic fluids in the case of lattice gas cellular automata and Vlasov systems. Complex Systems , 10, 219-227, 1996
O. Knill Nonlinear dynamics from the Wilson Lagrangian J Physics A, 29, L595-600, 1996
O. Knill Maximizing the packing density on a class of almost periodic sphere packings Expositiones Mathematicae, 14 (1996), p. 227-246, 1996
O. Knill Topological entropy of Standard type monotone twist maps Trans. Amer. Math. Soc., 348, 2999-3013, 1996
M.Jeng, O. Knill Billiards in the l ^p unit balls of the plane Chaos, Fractals and Solitons, Vol. 7, p. 543-554, 1996
E.Gutkin, O. Knill Billiards that share a triangular caustic in 'New trends in Hamiltonian systms and Celestial Mechanics', "Second International symposium on Hamiltonian Systems and Celestial Mechanics", Advanced Series in Nonlinear Dynamics, Vol. 8 World Scientific, Singapore, 1996.
A.Hof, O. Knill, B.Simon. Singular Continuous Spectrum for Palindromic Schrodinger Operators Comm. Math. Phys., 174, 149-159, 1995.
A.Jakobsen, O. Knill Iteration of the coupled map lattice construction Physics Letters A, 205:179-183, 1995
A.Hof, O. Knill Cellular automata with almost periodic initial conditions Nonlinearity 8: 477-491, 1995
O. Knill Renormalisation of random Jacobi Operators Commun. Math. Phys., 164: 195-215, 1995
O. Knill Diagonalization of Abel's Integral operator SIAM Journal on Applied Mathematics, 54:1250-1253, 1994
O. Knill Isospectral deformations of discrete Laplacians In "On three Levels", Edited by M.Fannes et al., Plenum Press, New York, 1994
O. Knill Spectral, ergodic and cohomological problems in dynamical systems PhD theses under supervison of Prof. O.E. Lanford III, Diss. ETH Nr. 10189, 1993
O. Knill, R.Dgani, M.Vogel. Wind Tomography in Binary systems Annals of the Israel Physical Society, 10:134-137, 1993
O. Knill, R.Dgani, M.Vogel. A new approach to Abel's integral operator and its application to stellar winds Astron. and Astrophys. 274:1002:1008, 1993
O. Knill Factorisation of Random Jacobi Operators and Bäcklund transformations Commun. Math. Phys., 151:589-605, 1993
O. Knill Isospectral Deformations of Random Jacobi Operators Commun. Math. Phys., 151:403-426, 1993
O. Knill Positive Lyapunov exponents for a dense set of bounded measurable SL(2,R)- cocycles Ergod. Th. Dynam. Sys. 12, 319-331, (1992)
O. Knill Lyapunov exponents of Sl(2,R) cocycles: Discontinuity and the problem of positivity Lecture Notes in Math. No. 1486, Springer 1991
O. Knill, R.Mäder, R.Sanders, J.Simon. The rotation group of Rubik's cube Sigsam Bulletin , 21(3) , 1987
O. Knill, Swiss Competition 'Schweizer Jugend Forscht' , 150 p., short version "SJF Jahrbuch, 1983, Ed. B.Röthlin, Schweizer Jugend Forscht Verlag, Winterthur, 1983. Zentralblatt für Didaktik Eintrag
Ol Knill Bibliographical entries of Jost Buergi, Max Wolf, Arthur Schuster and Fritz Zwicky in BEA, Springer, 2007, Editor-in-Chief: Thomas Hockey. Book due October 2007