Page History

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Teaching:

Current courses:

• Todennäköisyys ja statistinen fysiikka (probability and statistical physics), Spring 2014

Past courses:

• Introduction to Hopf algebras and representations , Spring 2011
  Lecture notes: Hopf-lecture_notes.pdf
• Random conformally invariant curves, Iceland, Summer School in Random Geometry, August 2011
  Lecture notes: Random_curves-lecture_notes.pdf
• Todennäköisyys ja statistinen fysiikka (probability and statistical physics), Spring 2014

Publications, preprints and other things:

1. K.Kytölä and E.Peltola: Conformally covariant boundary correlation functions with a quantum group. (2014) Preprint: [arXiv:1408.1384].
2. N.Jokela, M.Järvinen , and K.Kytölä: SLE boundary visits. (2013) Preprint: [arXiv:1311.2297].
3. K.Kytölä: Ising transfer matrix, discrete holomorphicity and fermions. (2013) Submitted to the proceedings of The third conference of Tsinghua Sanya International Mathematics Forum.
4. C.Hongler, F.Johansson-Viklund and K.Kytölä: Lattice Representations of the Virasoro Algebra I: Discrete Gaussian Free Field. (2013) Preprint: [arxiv:1307.4104].
5. C.Hongler, K.Kytölä and A.Zahabi: Discrete holomorphicity and Ising model operator formalism. Accepted for publication in Analysis, Complex Geometry, and Mathematical Physics: A Conference in Honor of Duong H. Phong (2013). Preprint version: [arxiv:1211.7299].
6. K.Izyurov and K.Kytölä: Hadamard's formula and couplings of SLEs with free field . (2013) Probability Theory and Related Fields Vol. 155, No. 1-2, 35-69. Preprint version: [arxiv:1006.1853].
7. C.Hongler and K.Kytölä: Ising Interfaces and Free Boundary Conditions . (2013) Journal of the American Mathematical Society Vol. 26, 1107-1189. Preprint version: [arxiv:1108.0643].
8. K.Kytölä and D.Ridout: On staggered indecomposable Virasoro modules. (2009) Journal of Mathematical Physics, Vol. 50, 123503. Preprint version: [arXiv:0905.0108].
9. K.Kytölä: SLE local martingales in logarithmic representations . (2009) Journal of Statistical Mechanics: Theory and Experiment P08005. Preprint version: [arXiv:0804.2612].
10. M.Bauer, D.Bernard and K.Kytölä: LERW as an example of off-critical SLEs . (2007) Journal of Statistical Physics, Vol. 132, No. 4, 721-754.. The original publication is available at www.springerlink.com. Preprint version: [arXiv:0712.1952].
11. K.Kytölä: Conformal Field Theory Methods for Variants of Schramm-Loewner Evolutions . Yliopistopaino, Helsinki 2006. PhD thesis: Faculty of Science, Department of Mathematics and Statistics, University of Helsinki.
12. K.Kytölä and A.Kemppainen: SLE Local Martingales, Reversibility and Duality . (2006) Journal of Physics A: Mathematical and General Vol. 39 No. 46 L657-L666. (c) copyright 2006 IOP Publishing Ltd. Preprint version: [arXiv:math-ph/0605058].
13. K.Kytölä: Virasoro Module Structure of Local Martingales of SLE Variants . (2006) Reviews in Mathematical Physics, Vol. 19, No. 5, 455-509 Preprint version: [arXiv:math-ph/0604047]
14. K.Kytölä: On conformal field theory of SLE(kappa; rho) . (2006) Journal of Statistical Physics, Vol. 123, No. 6, 1169-1181. The original publication is available at www.springerlink.com. Preprint version: [arXiv:math-ph/0504057].
15. M.Bauer, D.Bernard and K.Kytölä: Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales . (2005) Journal of Statistical Physics, Vol. 120, Nos. 5/6, 1125-1163. The original publication is available at www.springerlink.com. Preprint version: [arXiv:math-ph/0503024].
16. K.Kytölä: On models of two-dimensional statistical physics and the Coulomb gas. Masters thesis (2004), Department of Mathematics at University of Helsinki.
17. Matti Järvinen and Kalle Kytölä: On Löwner's half plane equation: linear driving function. (2002)
18. K.P.J.Kytölä, E.T.Seppälä and M.J.Alava: Elastic manifolds in disordered environments: energy statistics . (2003) Europhysics Letters 62, 35-41. Preprint version: [arXiv:cond-mat/0301604].

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