Petersburg Department
of Steklov Institute of Mathematics
PREPRINTS 2010
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N. V. Tsilevich
SPECTRAL PROPERTIES OF THE PERIODIC
COXETER LAPLACIAN IN
THE TWO-ROW FERROMAGNETIC CASE
(î.÷. ãÉÌÅ×ÉÞ. óðåëôòáìøîùå ó÷ïêóô÷á ðåòéïäéþåóëïçï ëïëóôåòï÷óëïçï ìáðìáóéáîá
÷ ä÷õóôòïþåþîïí æåòòïíáçîéôîïí óìõþáå)
[ Abstract ]
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V. A. Solonnikov
ON THE STABILITY OF UNIFORMLY ROTATING VISCOUS
INCOMPRESSIBLE SELF-GRAVITATING LIQUID
(÷.á. óÏÌÏÎÎÉËÏ×. ïâ õóôïêþé÷ïóôé òá÷îïíåòîï ÷òáýáàýåêóñ ÷ñúëïê
îåóöéíáåíïê óáíïçòá÷éôéòõàýåê öéäëïóôé)
[ Abstract ]
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A. M. Vershik
ORBIT THEORY, LOCALLY FINITE PERMUTATIONS
AND MORSE ARITHMETIC
(á. í. ÷ÅÒÛÉË. ôòáåëôïòîáñ ôåïòéñ, ìïëáìøîï-ëïîåþîùå ðïäóôáîï÷ëé é áòéæíåôéëá íïòóá)
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V. A. Solonnikov
ON THE LINEAR PROBLEM ARISING
IN THE STUDY OF A
FREE BOUNDARY PROBLEM
FOR THE NACIER--STOKES EQUATIONS
(÷.á. óÏÌÏÎÎÉËÏ×. ï ìéîåêîïê úáäáþå, ÷ïúîéëáàýåê ðòé éúõþåîéé úáäáþé óï ó÷ïâïäîïê çòáîéãåê äìñ õòá÷îåîéê
îá÷øå--óôïëóá)
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V. V. Kapustin
WAVE OPERATORS ON THE SINGULAR SPECTRUM.
THE CASE OF RANK-TWO COMMUTATORS
(÷.÷.ëÁÐÕÓÔÉÎ. ÷ïìîï÷ùå ïðåòáôïòù îá óéîçõìñòîïí óðåëôòå. óìõþáê ëïííõôáôïòá
òáîçá 2.)
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D.M. Itsykson, D.O. Sokolov
THE COMPLEXITY OF INVERSION OF EXPLICIT
GOLDREICH'S FUNCTION BY PDLL ALGORITHMS
(ä.í. éÃÙËÓÏÎ, ä.ï. óÏËÏÌÏ×. óìïöîïóôø ïâòáýåîéñ ñ÷îïê æõîëãéé çïìäòåêèá DPLL áìçïòéôíáíé)
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C. Malyshev
ON EQUIVALENCE OF ENSEMBLE OF NON-SINGULAR
SCREW DISLOCATIONS TO A COULOMB-LIKE GAS WITH SMOOTHED OUT
COUPLING
(ë. íÁÌÙÛÅ×. ïâ üë÷é÷áìåîôîïóôé íåöäõ áîóáíâìåí
îåóéîçõìñòîùè ÷éîôï÷ùè äéóìïëáãéê é çáúïí ëõìïîï÷óëïçï ôéðá óï
óçìáöåîîùí ÷úáéíïäåêóô÷éåí)
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N. Abarenkova, J.-M. Maillard
RATIONAL SYMMETRIES OF DIFFERENTIAL EQUATIONS AND RENORMALIZATION
(î. áÂÁÒÅÎËÏ×Á, ö.-í. íÁÑÒ. òáãéïîáìøîùå óéííåôòéé äéææåòåîãéáìøîùè õòá÷îåîéê
é òåîïòíáìéúáãéñ)
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A. V. Malyutin
QUASIMORPHISMS AND RANDOM WALKS
(á. ÷. íÁÌÀÔÉÎ. ë÷áúéíïòæéúíù é óìõþáêîùå âìõöäáîéñ)
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