TMF, 2007, Volume 153, Number 1

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2007, Volume 153, Number 1

	Star product algebras of test functions M. A. Soloviev		3
	Dynamical principle V. P. Pavlov, V. M. Sergeev		18
	Model equation of the theory of solitons V. E. Adler, A. B. Shabat		29
	Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation D. V. Zakharov		46
	Special polynomials and rational solutions of the hierarchy of the second Painlevé equation M. V. Demina, N. A. Kudryashov		58
	Von Neumann–Wigner theorem: Level repulsion and degenerate eigenvalues Yu. N. Demkov, P. B. Kurasov		68
	Potts model with competing interactions on the Cayley tree: The contour method G. I. Botirov, U. A. Rozikov		86
	Interphase Hamiltonian and first-order phase transitions: A generalization of the Lee–Yang theorem A. G. Basuev		98
	Correlation functions in the anomalous-dimension approximation for a multicomponent liquid A. N. Vasiliev		124
	Energy and coherence loss rates in a one-dimensional vibrational system interacting with a bath V. V. Eremin, I. O. Glebov		130