Institutionen för Matematik - KTH

Kristian Bjerklöv Bitr. lektor (Assistant Professor) Rum 3551, Lindstedtsvägen 25 Tel: 08-790 7164 email: bjerklov at kth dot se

Undervisning

Tidigare undervisning

Useful links

Research

Publications

• Positive Lyapunov exponent and minimality for a class of one-dimensional quasi-periodic Schrödinger equations, Ergodic Theory Dynam. Systems 25 (2005), no. 4, 1015--1045.


• Positive Lyapunov exponents for continuous quasi-periodic Schrödinger equations, J. Math. Phys. 47 (2006), no. 2.


• Explicit examples of arbitrarily large analytic ergodic potentials with zero Lyapunov exponent, Geom. Funct. Anal. 16 (2006), no. 6, 1183--1200.


• Dynamics of the quasi-periodic Schrödinger cocycle at the lowest energy in the spectrum, Comm. Math. Phys. 272 (2007), 397--442.


• Positive Lyapunov exponent and minimality for the continuous 1-d quasi-periodic Schrödinger equation with two basic frequencies, Ann. Henri Poincaré 8 (2007), 687--730.


• Lyapunov exponents of continuous Schrodinger cocycles over irrational rotations (with D. Damanik and R. Johnson), Ann. Mat. Pura Appl. (4) 187 (2008), no. 1, 1--6.


• Minimal subsets of projective flows (with R. Johnson), Discrete Contin. Dyn. Syst. Ser. B 9 (2008), no. 3-4, 493--516.


• Universal asymptotics in hyperbolicity breakdown (with M. Saprykina), Nonlinearity 21 (2008), no. 3, 557--586.


• SNA's in the quasi-periodic quadratic family, Comm. Math. Phys. 286 (2009), 137--161.


• Rotation numbers for quasiperiodically forced circle maps --- mode locking vs strict monotonicity (with T. Jäger), J. Amer. Math. Soc. 22 (2009), 353--362.

Thesis