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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2007, Volume 258

| General information | Contents |


Analysis and singularities. Part 1


Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday

From the Editors
5
Topological Classification of Trigonometric Polynomials Related to the Affine Coxeter Group $\widetilde A_2$
V. I. Arnol'd
7
Rolling Balls and Octonions
A. A. Agrachev
17
On Binary Quadratic Forms with the Semigroup Property
F. Aicardi, V. A. Timorin
28
Symmetric $X_9$ Singularities and Complex Affine Reflection Groups
V. V. Goryunov
49
On the Power Structure over the Grothendieck Ring of Varieties and Its Applications
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández
58
New Cases of Logarithmic Equivalence of Welschinger and Gromov–Witten Invariants
I. V. Itenberg, V. M. Kharlamov, E. I. Shustin
70
On an Invariant Möbius Measure and the Gauss–Kuzmin Face Distribution
O. N. Karpenkov
79
Thom Polynomials for Maps of Curves with Isolated Singularities
M. E. Kazarian, S. K. Lando
93
On Malliavin Measures, SLE, and CFT
M. L. Kontsevich, Yu. M. Sukhov
107
Invariant Planes, Indices of Inertia, and Degrees of Stability of Linear Dynamic Equations
V. V. Kozlov
154
On a New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model
E. E. Mukhin, V. Schechtman, V. O. Tarasov, A. N. Varchenko
162
Hyperbolic Carathéodory Conjecture
S. L. Tabachnikov, V. Yu. Ovsienko
185
On the Coexistence of Corank 1 Multisingularities of a Stable Smooth Mapping of Equidimensional Manifolds
V. D. Sedykh
201
Welschinger Invariants of Toric Del Pezzo Surfaces with Nonstandard Real Structures
E. I. Shustin
227


© Steklov Math. Inst. of RAS, 2025