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| Misha
Rudnev's recent
papers: |
| Recently published: Combinatorial approach to orthogonal exponentials, with A. Iosevich, International Math. Research Notices, no 50 (2003) pp. 2671--1685 Darboux transformation for classical acoustic spectral problem, with A. Yurova and A. Yurov, International J. of Math. and Math. Sciences, no. 49, (2003) pp. 3123--3142. Non-isotropic distance measures for lattice-generated sets, with A. Iosevich, Publicaciones Matemàtiques, no 49 (2005) 225-247. Sharp upper bounds for splitting of separatrices near a simple resonance, with V. Ten, Regular and Chaotic Dynamics,V.9, no 3 (2004), pp. 1--38. Combinatorial complexity of convex sequences, with A. Iosevich, S. Konyagin and V. Ten, Discrete and Computational Geometry, V.35, no 1 (2006), pp. 143--158. Integrability versus topology of configuration manifolds and domains of possible motions, with V. Ten, Archiv der Mathematik, V.86, no 1 (2006), pp. 90--96. A model for separatrix splitting near multiple resonances, with V. Ten, Regular and Chaotic Dynamics, V.11, no. 1 (2006), pp. 83--102. An inverse problem of Hamiltonian dynamics, with V. Ten, Proc. Amer. Math. Soc. V. 134 (2006), pp. 3295--3299. Lax pairs for higher-dimensional evolution PDEs and a 3+1 dimensional integrable generalization of the Burgers equation, with A.V. Yurov and V. A. Yurov, Proc. Amer. Math. Soc. V. 135 (2007), pp. 731--741 |
| Accepted for publication: On distance measures for well-distributed sets, with A. Iosevich, in Discrete and Computational Geometry Erdös distance problem on vector spaces over finite fields, with A. Iosevich, in Transactions of AMS The Mattila integral associated with sign-indefinite measures, with A. Iosevich, in Journal of Fourier Analysis and Applications |