Nikola P. Petrov, Ph.D.
Affiliations: | 2002 | University of Texas at Austin, Austin, Texas, U.S.A. |
Area:
Optics Physics, MathematicsGoogle:
"Nikola Petrov"Parents
Sign in to add mentor| Rafael d. la Llave | grad student | 2002 | UT Austin | |
| (Methods of dynamical systems, harmonic analysis and wavelets applied to several physical systems.) | ||||
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Publications
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| Nikolov PA, Petrov NP. (2019) Restriction and dimensional reduction of differential operators International Journal of Geometric Methods in Modern Physics. 16: 1950094 |
| Nikolov PA, Petrov NP. (2012) Dimensional Reduction of Invariant Fields and Differential Operators. I. Reduction of Invariant Fields Annales Henri Poincare. 13: 449-480 |
| de la Llave R, Olvera A, Petrov NP. (2011) Combination Laws for Scaling Exponents and Relation to the Geometry of Renormalization Operators Journal of Statistical Physics. 143: 889-920 |
| Mitchell JD, Petrov NP. (2009) Temperature distribution in a uniformly moving medium European Journal of Physics. 30: 417-426 |
| de la Llave R, Petrov NP. (2008) Boundaries of Siegel disks: numerical studies of their dynamics and regularity. Chaos (Woodbury, N.Y.). 18: 033135 |
| Olvera A, Petrov NP. (2008) Regularity properties of critical invariant circles of twist maps, and their universality Siam Journal On Applied Dynamical Systems. 7: 962-987 |
| De La Llave R, Olvera A, Petrov NP. (2007) Universal scalings of universal scaling exponents Journal of Physics a: Mathematical and Theoretical. 40 |
| Petrov NP. (2005) The dynamical Casimir effect in a periodically changing domain: A dynamical systems approach Journal of Optics B: Quantum and Semiclassical Optics. 7 |
| Apte A, De La Llave R, Petrov NP. (2005) Regularity of critical invariant circles of the standard nontwist map Nonlinearity. 18: 1173-1187 |
| Petrov NP, Lu L, Doering CR. (2005) Variational bounds on the energy dissipation rate in body-forced shear flow Journal of Turbulence. 6 |