Geodesic

Sommaire du Fascicule no. 1

Representation of the~$\beta$-function and anomalous dimensions by nonsingular integrals in models of critical dynamics
p. 3-11
Bosonization of the~meson sector of QCD and parity breaking in strong interactions
p. 12-27
Influence of the~quark--gluon string fusion mechanism on long-range rapidity correlations and fluctuations
p. 28-36
Random interface growth in a~random environment: Renormalization group analysis of a~simple model
p. 37-56
Ambiguity in renormalization of the~conductance of an~X-junction between quantum wires with a~Luttinger-type interaction
p. 57-67
Orthogonal polynomials and deformed oscillators
p. 68-76
High energy physics in the~vicinity of rotating black holes
p. 77-85
Quantum particle in a~random medium
p. 86-98
Some properties of the~shape-invariant two-dimensional Scarf~II model
p. 99-108
Algebraic calculation of the~resolvent of a~generalized quantum oscillator in a~space of dimension $D$
p. 109-117
Chebyshev polynomials for a~three-dimensional algebra
p. 118-126
Splints of root systems for special Lie subalgebras
p. 127-138
Generalized Pascal's triangles and singular elements of modules of Lie algebras
p. 139-150
Fluctuation potential of the~interaction between a~neutral atom and a~diffraction grating
p. 151-161
Relation between quantum effects in general relativity and embedding theory
p. 162-178
Calculation of the~critical index $\eta$ for the~$\varphi^3$ theory by the~conformal bootstrap method
p. 179-185
Antiquantization and the~corresponding symmetries
p. 186-191
Phase space of a~gravitating particle and dimensional reduction at the~Planck scale
p. 192-198
Comments on polaron--phonon scattering theory
p. 199-212
Classification of minimum global embeddings for nonrotating black holes
p. 213-223

Sommaire du Fascicule no. 2

Conservation laws, differential identities, and constraints of partial differential equations
p. 227-251
Notion of blowup of the~solution set of differential equations and averaging of random semigroups
p. 252-271
Cauchy--Jost function and hierarchy of integrable equations
p. 272-288
The~extended $Z_N$-Toda hierarchy
p. 289-312
The~differential geometry of blow-ups
p. 313-328
Gepner approach to space--time supersymmetry in ten-dimensional string theory
p. 329-345
Ultrametricity in the~theory of complex systems
p. 346-360
Physics of the~$so_q(4)$ hydrogen atom
p. 361-368

Sommaire du Fascicule no. 3

Topological recursion for Gaussian means and cohomological field
p. 371-409
Elliptic parameterization of Pfaff integrable hierarchies in the~zero-dispersion limit
p. 410-422
Blobbed topological recursion
p. 423-437
Quiver varieties and the~quantum Knizhnik--Zamolodchikov equation
p. 438-459
Quantum generalized cluster algebras and quantum dilogarithms of higher degrees
p. 460-470
Twisted character varieties, covering spaces, and gerbes
p. 471-494
Cluster characters and the~combinatorics of Toda systems
p. 495-511
Bilinear equations for the~strict KP hierarchy
p. 512-526
Hierarchies of finite-dimensional Lax equations with a~spectral parameter on a~Riemann surface and semisimple Lie algebras
p. 527-544