Geodesic

Sommaire du Fascicule no. 1

On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians
p. 5-52
Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results
p. 53-83
Functional integration and the twopoint correlation function of the one-dimensional Bose-gas in the harmonic potential
p. 84-114
A~recursion formula for the correlation functions of an inhomogeneous $XXX$ model
p. 115-159
Cayley--Hamilton theorem for quantum matrix algebras of type $\mathrm{GL}(m\mid n)$
p. 160-182
A~kink in a~funny place
p. 183-189
Hypergeometric generating function of $L$-function, Slater's identities, and quantum invariant
p. 190-208
On selfadjont extensions of a~difference operator
p. 209-223
Grothendiecks dessins d'enfants, their deformations, and algebraic solutions of the sixth Painlev\'e and Gauss hypergeometric equations
p. 224-275
Asymptotic estimates for spectral, bands of periodic Schr\"odenger operators
p. 276-288

Sommaire du Fascicule no. 2

Thomson's theorem on mean square polynomial approximation
p. 1-32
Interpolation of intersections by the real method
p. 33-69
Asimptotic dimension of the hyperbolic space and the capacity dimension of its boundary at infinity
p. 70-95
Products of conjugacy classes in Chevalley groups over local rings
p. 96-107
On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients
p. 108-132
On approximation of a~3-dimensional convex body by cylinders
p. 133-144
On instability of the absolutely continuous spectrum of dissipative Schr\"odinger operators and Jacobi matrices
p. 145-169
A~tropical approach to enumerative geometry
p. 170-214

Sommaire du Fascicule no. 3

Finite generation of the Yoneda algebra of a~symmetric special biserial algebra
p. 1-23
On $U_q(sl_2)$-invariant $R$-matrices for senior spins
p. 24-46
The absence of eigenvalues in the spectrum of ageneralized two-dimensional periodic Dirac operator
p. 47-80
Approximation of a~surface with small area by a~graph
p. 81-92
On local $GQ(s,t)$ graphs with strongly regular $\mu$-subgraphs
p. 93-106
Spectrum of integral means and the modified Bessel function of zero order
p. 107-123
Proper solutions of elliptic boundary-valus problems with discontinuous nonlinearities
p. 124-138
Open map theorem for metric spaces
p. 139-159
Approximation by analytic operator functions. Factorizations and very badly approximable functions
p. 160-183
Gisin homomorphism in general cohomology theories
p. 184-203
Invariants of measures admiting statistical estimates
p. 204-236

Sommaire du Fascicule no. 4

On zeta functions of orthogonal groups of one-class positive definite quadratic forms
p. 3-41
Capacity dimension and embedding of hyperbolic spaces in products of trees
p. 42-58
Sharp Jackson type inequalities for approximation of classes of convolutions by entire functions of finite degree
p. 59-114
A~theorem on intersection with the $k$-dimensional barycenter
p. 115-124
Condition numbers of large matrices, and analytic capacities
p. 125-180
Generation of Borel sets by balls
p. 181-204

Sommaire du Fascicule no. 5

Beurling--Malliavin multiplier theorem: the seventh proof
p. 3-68
Threshold approximations for the resolvent of a~factoried selfadjoint family with corrector
p. 69-90
What does a~typical Markov operator look like?
p. 91-104
On the existence of an extremal function in Sobolev embedding theorems with limit exponent
p. 105-140
A~Birghof-type theorem for a~family of probability spaces
p. 141-163
On the spectrum of polyharmonic operators with limit-periodic potentials
p. 164-189
A~mathematical model for a~noninvertible quantum graph
p. 190-231
On the structure of the lower spectral edge for a~magnetic Schr\"odinger operator with small magnetic potential
p. 232-243
Scattering on magnetic fields
p. 244-272

Sommaire du Fascicule no. 6

Averaging of periodic elliptic differential operators with the account of a~corrector
p. 1-104
Isogeny classes of formal groups over complete discrete valuation fields with an arbitrary residue field
p. 105-124
Averaging of an elliptic system under condensing perforation of a~domain
p. 125-160
Antimonotone and $P$-exact quadratic forms, and representations of partially ordered sets
p. 161-183
On the value distribution for $L(1,\mathrm{sym}^2f)$
p. 184-206