- O. Knill, A discrete Gauss-Bonnet type theorem, "Elemente der Mathematik", 67, 2012, p. 1-17 Project page.
- O. Knill and F. Tangerman , Selfsimilarity and growth in Birkhoff sums for the golden rotation, "Nonlinearity" 24 (2011) p. 3115-3127, Project page.
- O. Knill and J. Lesieutre, Analytic continuation of Dirichlet series with almost periodic coefficients, "Complex Analysis and Operator Theory", Volume 6(1),2012, p.237-255. Springer:DOI: 10.1007/s11785-010-0064-7,Project page
- O. Knill Probability Theory and Stochastic Processes with Applications, Overseas Press, 2009, ISBN 81-89938-40-1, Project page.
- O. Knill Bibliographical entries of Jost Buergi, Max Wolf, Arthur Schuster and Fritz Zwicky, BEA, Springer, 2007, Editor-in-Chief: Thomas Hockey. Book page.
- J. Moser (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 (11), p. 5495-5510, 1999
- O. Knill Weakly mixing invariant tori of Hamiltonian systems, Commun. Math. Phys, 204, 85-88, 1999
- A. Hof, O. Knill Zero dimensional continuous spectrum for smooth differential equations on the torus, Ergod. Th. and Dyn. Systems, 18, 879-888, 1998
- O. Knill A remark on quantum dynamics, Helvetica Physica Acta, 71, 233-241, 1998
- O. Knill On nonconvex caustics of convex billiards, 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 systems 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, Micro-,Meso and Macro- Approaches in Physics", Edited by M. Fannes, C. Maes and A. Verbeure, NATO ASI Series, Series B, Physics Vol. 324,Plenum Press, New York, 1994
- O. Knill Spectral, ergodic and cohomological problems in dynamical systems, PhD theses under supervision 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, Additive Number Theory, 'Schweizer Jugend Forscht' , "SJF Jahrbuch, 1983, Ed. B.Röthlin, Schweizer Jugend Forscht Verlag, Winterthur, 1983. Scan

