Academic Curriculum Vitae

Education

Employment

Publications

Books

1. S. Winitzki (2010) "Linear Algebra via Exterior Products" (published by lulu.com, ISBN 978-1-4092-9496-2)
2. S. Winitzki (2009) "Eternal Inflation" (published by World Scientific, ISBN 981-283239-4)
3. V. F. Mukhanov and S. Winitzki (2007) "Introduction to Quantum Effects in Gravity" (published by Cambridge University Press. ISBN 978-0-521-86834-1)

Articles

1. L. A. Gergely, N. Pidokrajt, and S. Winitzki (2008) "Thermodynamics of tidal charged black holes".The European Physical Journal C 71, 1569. Preprint arXiv:0811.1548 [gr-qc].
2. A. Linde, V. Vanchurin, and S. Winitzki (2008) "Stationary measure in the multiverse". JCAP 0901:031, 2009. Preprint arXiv:0812.0005.
3. S. Winitzki (2008) "Reheating-volume measure for the landscape". Phys.Rev. D 78 (2008), 123518. Preprint arXiv:0810.1517 [gr-qc].
4. S. Winitzki (2008) "Reheating-volume measure for random-walk inflation". Phys.Rev. D 78 (2008), 063517. Preprint arXiv:0805.3940 [gr-qc].
5. S. Winitzki (2008) "A volume-based measure for eternal inflation". Phys.Rev. D 78 (2008), 043501. Preprint arXiv:0803.1300.
6. S. Winitzki (2007) "Age-dependent decay in the landscape". Phys.Rev. D 77 (2008), 063508. Preprint arXiv:0712.2192.
7. J. U. Kang, V. Vanchurin, and S. Winitzki (2007) "Attractor scenarios and superluminal signals in k-essence cosmology". Phys.Rev. D 76 (2007), 083511. Preprint arxiv:0706.3994.
8. S. Winitzki (2006) "Predictions in eternal inflation". Invited review, Lect. Notes Phys. 738, 157-191 (2008). Preprint gr-qc/0612164.
9. F. Helmer and S. Winitzki (2006) "Self-reproduction in k-inflation." Phys.Rev. D 74 (2006), 063528. Preprint gr-qc/0608019.
10. J. Garriga, D. Schwarz-Perlov, A. Vilenkin, and S. Winitzki (2005) "Probabilities in the inflationary multiverse." JCAP01(2006)017. Preprint hep-th/0509184.
11. S. Winitzki (2005) "Cosmological particle production and the precision of the WKB approximation." Phys. Rev. D 72 (2005) 104011. Preprint gr-qc/0510001. Local copy here.
12. S. Winitzki (2005) "Time-reparametrization invariance in eternal inflation." Phys. Rev. D 71 (2005) 123507. Preprint gr-qc/0504084.
13. S. Winitzki (2005) "Conformal diagrams for a fractal landscape." Phys. Rev. D 71 (2005) 123523. Preprint gr-qc/0503061.
14. S. Winitzki (2004) "The fractal structure of inflationary spacetime." In Exploring the Universe, Proceedings XXXIX Rencontres de Moriond, La Thuile, Italy, March 26 - April 4, 2004, ed. by Y. Giraud-Héraud and J. Trân Thanh Vân. This is a shorter version of a paper in preparation. (Local copy, ps.gz)
15. J. Hong, A. Vilenkin, and S. Winitzki (2003) "Particle creation in a tunneling universe I. Massless particles." Phys. Rev. D 68 (2003) 023520. Preprint gr-qc/0210034.
16. J. Hong, A. Vilenkin, and S. Winitzki (2003) "Particle creation in a tunneling universe II. Massive particles." Phys. Rev. D 68 (2003) 023521. Preprint gr-qc/0305025.
17. S. Winitzki (2003) "Computing the incomplete Gamma function to arbitrary precision." LNCS 2667 (2003) 790 (Springer-Verlag).
18. S. Winitzki (2003) "Uniform approximations for transcendental functions." LNCS 2667 (2003) 780 (Springer-Verlag).
19. L. Pogosian, T. Vachaspati, and S. Winitzki (2002) "Signatures of primordial helicity in the CMBR." New Astron. Rev. 47 (2003) 859-862. Preprint astro-ph/0210039.
20. A. Gangui, L. Pogosian, and S. Winitzki (2002) "Cosmic string signatures in the cosmic microwave background anisotropies." New Astron. Rev. 46 (2002) 681-691. Preprint astro-ph/0112145.
21. A. Gangui, L. Pogosian, and S. Winitzki (2001) "Computation of the CMB Bispectrum from Cosmic Strings". In Physics at Extreme Energies, Proceedings of the IVth Rencontres du Vietnam, Hanoi, Vietnam, 19-25 July 2000.
22. L. Pogosian, T. Vachaspati, and S. Winitzki (2001) "Signatures of kinetic and magnetic helicity in the CMBR." Phys. Rev. D 65 (2002) 083502. Preprint astro-ph/0112536.
23. A. Z. Pinkus and S. Winitzki (2002) "YACAS: A Do-it-yourself Symbolic Algebra Environment." LNCS 2385 (2002), 332 (Springer-Verlag).
24. S. Winitzki (2001) "Violations of the null energy conditions in eternal inflation." Talk given at COSMO-2001, Rovaniemi, Finland. Preprint gr-qc/0111109.
    1. Published reference: S. Winitzki, in Proceedings of the International Workshop On Particle Physics And The Early Universe (COSMO-01), Rovaniemi, Finland, 2001, ed. by M. Roos, eConf C01/08/30 (2001). See also a talk by Tanmay Vachaspati at the Davis Inflation Meeting, 2003 (astro-ph/0305439).
25. S. Winitzki (2001) "The eternal fractal in the universe." Phys. Rev. D 65 (2002) 083506. Preprint gr-qc/0111048.
26. A. Gangui, L. Pogosian, and S. Winitzki (2001) "Bispectrum of cosmic microwave background from wiggly cosmic strings." Phys. Rev. D 64 (2001) 043001. Preprint astro-ph/0101453.
27. S. Winitzki and A. Vilenkin (2000), "Effective noise in stochastic description of inflation", Phys. Rev. D 61 (2000) 084008. Preprint gr-qc/9911029.
28. V. Vanchurin, A. Vilenkin, and S. Winitzki (2000) "Predictability crisis in inflationary cosmology and its resolution." Phys. Rev. D 61 (2000) 083507. Preprint gr-qc/9905097.
29. S. Winitzki and A. Kosowsky (1998) "Minkowski functional description of microwave background Gaussianity." New Astronomy 3 (1998), 75-99. Preprint astro-ph/9710164.
30. A. Vilenkin and S. Winitzki (1997) "Probability distribution for Omega in open-universe inflation." Phys. Rev. D 55 (1997) 548-559. Preprint astro-ph/9605191.
31. S. Winitzki (1997) "Conformal invariance in two-dimensional discrete field theory." Phys. Rev. D 55 (1997) 6374-6381. Preprint hep-th/9609106.
32. S. Winitzki and A. Vilenkin (1996) "Uncertainties of predictions in models of eternal inflation." Phys. Rev. D 53 (1996) 4298-4310. Preprint gr-qc/9510054.
33. A. Vilenkin and S. Winitzki (1994) "Detection of particles under potential barrier." Phys. Rev. D 50 (1994) 5409-5417. Preprint hep-th/9404163.
    1. Submitted but not accepted:
34. S. Winitzki (2010) "Observability of the total inflationary expansion". Preprint arXiv:1003.1680 [gr-qc].
35. S. Winitzki (2003) "Arbitrary-precision computation of Chebyshev polynomials." Submitted to ICCSA 2006.
36. S. Winitzki and J.-H. P. Wu (2000) "Inter-Scale correlations as measures of CMB Gaussianity." Preprint astro-ph/0007213. Submitted to APJ.
37. S. Winitzki (1998) "Non-Gaussian signature of weak gravitational lensing in the CMB." Preprint astro-ph/9806105. Submitted to PRD.

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Miscellaneous lecture notes

The links here don't work; see the File cabinet for the PDF files of these notes. All this is copyrighted by Sergei Winitzki and is distributed under the Free Documentation License.

• Classical mechanics
  • Perturbation theory for anharmonic oscillations (2006). Explanation of the Lindstedt-Poincaré method.
  • Advanced canonical methods (2006). Hamilton-Jacobi equation, action-angle variables, adiabatic invariants.
  • Classical mechanics (2006). Partial set of introductory notes incorporating the material distributed for the mechanics course in 2006.
• Electrodynamics
  • Separation of variables (2005). Explanations and example problems in both English and German.
  • Introduction to Green's functions (2005). Explanations in English, example problems in German.
• Quantum mechanics
  • Hilbert spaces, Hermitian operators, generalized vectors (2004)
  • Algebraic calculations with operators, commutation relations (2004).
  • Canonical quantization, measurement postulate, harmonic oscillator, coherent states, holomorphic representation (2004).
  • Density operators, mixed states, entropy (2004).
  • Introduction to quantum scattering (2003). Two lectures I prepared for the course Quantum Mechanics II.
  • Randomness and reality (2004). An almost non-technical essay about the interpretation of quantum mechanics.
  • Jordan's theorem, or Why there is no phase operator (2004).
• WKB approximation
  • The Miller-Good improvement of the WKB approximation (2002). Material from Quantum Mechanics by Galindo and Pascual, vol. 2.
  • A simple derivation of the WKB approximation (2005). An elementary introduction and numerical examples. No quantum mechanics required.
  • Perturbative improvement of the WKB approximation (2004). I also explained the perturbative improvement procedure in a paper on a related topic.
• Gravitation
  • Full solutions for the exercises in the course "General Relativity" (Allgemeine Relativitätstheorie), given in 2006 by Prof. V. F. Mukhanov at LMU München. Free Documentation License.
  • Topics in advanced general relativity (2005). Lecture notes in progress.
  • Degrees of freedom of classical fields (2005). A definition of the number of degrees of freedom and a method to compute it.
  • Why the vierbein is a "square root" of the metric (2004).
  • The Frenet-Serret construction and the Fermi-Walker transport (2008).
• Mathematical aspects of physics
  • The Vandermonde determinant (2008). Three derivations and a generalization.
  • Hessians of inverse functions (2008). An elementary derivation of a theorem used in thermodynamics.
  • Introduction to asymptotic series (2006). Examples of asymptotic expansions and Borel summation.
  • Computation of some functional determinants through Riemann's zeta function (2006). Some examples and tricks.
  • Why the Dirac delta function cannot be applied to complex arguments (2004).
  • Renormalization group made clearer (2004). In progress.
  • Circle-valued random fields (2004). I study some properties of such "phase fields"; in particular, I define a Gaussian phase field.
  • Asymptotics of some thermodynamical integrals (2004). An approach using a systematic perturbation theory expansion.
  • An easy approximation to the error function and its inverse (2005).
  • Average number of collisions in a perfect hash (2001). A combinatorial problem solved through unusual generating functions.
• Why physics is hard to learn no matter how much you already know (2004). A semi-popular essay on learning and teaching theoretical physics.