This page has not been updated much. Most of my work is unpublished. Fortunate not to face the "publish or perish"
dilemma, I only submit something if there is a compelling reason to do so.
O. Knill, The energy of a simplicial complex, Linear Algebra and its Applications 600 (2020) 96-129, Journal link, Project miniblog, ArXiv, offprint [PDF].
O. Knill, Cauchy Binet for pseudo-determinants, Linear Algebra and its Applications 459 (2014) 522-547, Journal link, Project miniblog, ArXiv.
O. Knill and E. Slavkovsky, "Visualizing Mathematics using 3D printers", O. Knill and E. Slavkovsky, in "Low-Cost 3D Printing for science, education and Sustainable Development", Editors: E. Canessa, C. Fonda and M. Zennaro, ICTP, ISBN-92-95003-48-9, 2013, Project page, Open book.
O. Knill, A Brouwer fixed point theorem for graph endomorphism,
"Fixed Point Theory and Applications",85, (1) 2013 Project page.
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
Hunting for Perfect Euler Bricks, Harvard College Math. Review, 2008, Vol.2, No.2, p. 102
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
