Geodesic

Sommaire du Fascicule no. 1

Quasi-Classical Asymptotics of Solutions to the Matrix Factorization Problem with Quadratically Oscillating Off-Diagonal Elements
p. 1-18
On the Action of the Complex Monge--Amp\`ere Operator on Piecewise Linear Functions
p. 19-29
Absence of Solitons with Sufficient Algebraic Localization for the Novikov--Veselov Equation at Nonzero Energy
p. 30-45
Characters of Representations of the Quantum Toroidal Algebra $\widehat{\widehat{\mathfrak{gl}_1}}$:
p. 46-60
On a Method for Computing Waveguide Scattering Matrices in the Presence of Point Spectrum
p. 61-72
Degenerate Group of Type $A$: Representations and Flag Varieties
p. 73-88
Coincidence Points of Two Maps
p. 89-93
$A$-Hypergeometric Functions in Transcendental Questions of Algebraic Geometry
p. 93-96

Sommaire du Fascicule no. 2

Yoneda Lemma for Complete Segal Spaces
p. 3-38
Limits of Integrable Hamiltonians on Semisimple Lie Algebras
p. 39-50
Zipf's Law and L.~Levin Probability Distributions
p. 51-66
Cohomology of the Lie Algebra $\mathfrak{H}_2$: Experimental Results and Conjectures
p. 67-78
Hilbert Schemes and Multiple $q$-Zeta Values
p. 79-87
On the Mirabolic Lie Algebra $\mathfrak{p}_n$
p. 88-92
On the Weyl Formula for the Laplace Operator on Hyperbolic Riemann Surfaces
p. 93-96

Sommaire du Fascicule no. 3

Cohomology in Nonunitary Representations of Semisimple Lie Groups (the Group $U(2,2)$)
p. 1-13
Zero Modes for the Quantum Liouville Model
p. 14-23
Commutative Vertex Algebras and Their Degenerations
p. 24-33
Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients
p. 34-51
``Quantizations'' of Higher Hamiltonian Analogues of the Painlev\'e I and Painlev\'e II Equations with Two Degrees of Freedom
p. 52-62
Optimal Elliptic Sobolev Regularity Near Three-Dimensional Multi-Material Neumann Vertices
p. 63-83
Curves on the Oeljeklaus--Toma Manifolds
p. 84-88
Spectral Analysis of Indefinite Sturm--Liouville Operators
p. 88-92
On $l^p$-Multipliers of Functions Analytic in the Disk
p. 92-96

Sommaire du Fascicule no. 4

Khintchine Inequality for Sets of Small Measure
p. 1-8
Finding the Incomplete Belitskii Normal Form of a Hamiltonian System
p. 9-18
Point Equivalence of Functions on the $1$-Jet Space $J^1\mathbb{R}$
p. 19-25
The Problem of Describing Central Measures on the Path Spaces of Graded Graphs
p. 26-46
On the Adjacency Quantization in an Equation Modeling the Josephson Effect
p. 47-64
On the Similarity to Self-Adjoint Operators
p. 65-70
On a Scaling Entropy Sequence of a Dynamical System
p. 70-74
Two-Dimensional von Neumann--Wigner Potentials with a Multiple Positive Eigenvalue
p. 74-77
Acoustic Diffraction Problems on Periodic Graphs
p. 77-83
The Topology of Adjacencies of Type $A$ and $D$ Lagrangian Singularities
p. 83-88
Homogenization of Elliptic Problems Depending on a Spectral Parameter
p. 88-94
Erratum to ``Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for the Matrix Sturm--Liouville Operator''