Geodesic

Sommaire du Fascicule no. 1

Nested Bethe ansatz for the~RTT algebra of $sp(4)$ type
p. 3-18
Quantum analogue of unstable limit cycles of a~periodically perturbed inverted oscillator
p. 19-31
The~$6j$-symbols for the~$SL(2,\mathbb C)$ group
p. 32-53
Geometric solutions of the~strict KP hierarchy
p. 54-78
The~$q$-TASEP with a~random initial condition
p. 79-100
Polarization tensors for massive arbitrary-spin particles and the~Behrends--Fronsdal projection operator
p. 101-112
Diagram technique for the~heat kernel of the~covariant Laplace operator
p. 113-132
Large fluctuations in two-level systems with stimulated emission
p. 133-144
Isomorphism of the~Yangian $Y_{\hbar}(A(m,n))$ of the~special linear
p. 145-161
Construction of the~Gelfand--Tsetlin basis for unitary principal
p. 162-174

Sommaire du Fascicule no. 2

Cluster Toda chains and Nekrasov functions
p. 179-214
Pentagon identities arising in supersymmetric gauge theory computations
p. 215-224
Strict versions of integrable hierarchies in pseudodifference operators and the~related Cauchy problems
p. 225-245
Cluster realization of positive representations of a~split real quantum Borel subalgebra
p. 246-272
Orthogonal and symplectic Yangians and Lie algebra representations
p. 273-283
Traces and supertraces on the~symplectic reflection algebras
p. 284-291
Toward an~analytic perturbative solution for the~ABJM quantum spectral curve
p. 292-308
Two problems in the~theory of differential equations
p. 309-325
Equivariant vector bundles over quantum projective spaces
p. 326-340
Exact results for the~isotropic spin-$1/2$ Heisenberg chain with dissipative boundary driving
p. 341-362

Sommaire du Fascicule no. 3

Whitham hierarchy and generalized Picard--Fuchs operators in the~$\mathcal N=2$ SUSY Yang--Mills theory for classical gauge groups
p. 365-380
Essentially nonperturbative vacuum polarization effects in a~two-dimensional Dirac--Coulomb system with $Z>Z_\mathrm{cr}$: Vacuum charge density
p. 381-417
Threshold phenomena in the~spectrum of the~two-particle Schr\"odinger operator on a~lattice
p. 418-432
Charge transfer on a~two-dimensional lattice with Tamm states
p. 433-450
Time evolution of quadratic quantum systems: Evolution operators, propagators, and invariants
p. 451-472
Restriction of the~fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter
p. 473-488
Quantum mechanical equivalence of the~metrics of a~centrally symmetric gravitational field
p. 489-522
Hawking radiation of relativistic particles from black strings
p. 523-531
Conformal Ricci collineations of static space--times with maximal symmetric transverse spaces
p. 532-544