Geodesic

Sommaire du Fascicule no. 1

Cohomologies of spaces of Schwartz distributions
p. 3-8
Twisted convolution and Moyal star product of generalized functions
p. 9-27
Limit behaviors of random connected graphs driven by a~Poisson process
p. 28-39
Classical double, $R$-operators, and negative flows of integrable hierarchies
p. 40-63
Blowup of solutions of a~Korteweg--de Vries-type equation
p. 64-72
Three-dimensional extensions of the~Alday--Gaiotto--Tachikawa relation
p. 73-99
Classical $r$-matrices of two- and three-dimensional Lie superbialgebras and their Poisson--Lie supergroups
p. 100-121
Rate of convergence of Feynman approximations of semigroups generated by the~oscillator Hamiltonian
p. 122-137
Rolling in the~Higgs model and elliptic functions
p. 138-154
View of bunching and antibunching from the~standpoint of classical
p. 155-176

Sommaire du Fascicule no. 2

Solitons in $1+1$ and $2+1$ dimensions
p. 179-180
Extended resolvent of the~heat operator with a~multisoliton potential
p. 181-197
On a~technique to identify solvable discrete-time many-body problems
p. 198-223
Detection and construction of an~elliptic solution of the~complex cubic--quintic Ginzburg--Landau equation
p. 224-235
Two-dimensional Toda field equations related to the~exceptional algebra $\mathfrak g_2$: Spectral properties of the~Lax operators
p. 236-249
Classification of discrete systems on a~square lattice
p. 250-263
The~geometry of integrable and superintegrable systems
p. 264-274
Wave breaking in solutions of the~dispersionless Kadomtsev--Petviashvili equation at a~finite time
p. 275-284
Dynamics of a~noncommutative monopole
p. 285-295
Tronqu\'ee solutions of the~Painlev\'e II equation
p. 296-307
Envelope soliton resonances and Broer--Kaup-type non-Madelung fluids
p. 308-322
Quantum B\"acklund transformations: Some ideas and examples
p. 323-336

Sommaire du Fascicule no. 3

Solution blowup for the~heat equation with double nonlinearity
p. 339-343
A~strong law of large numbers for random biased connected graphs
p. 344-354
Quantum tops as examples of commuting differential operators
p. 355-374
Instability of solitons under flexure and twist of an~elastic rod
p. 375-386
Semidiscrete Toda lattices
p. 387-402
Monopole solutions as three-dimensional generalizations of Kronecker
p. 403-414
Stochastic dynamo in critical situations
p. 415-436
The~Aharonov--Bohm effect for massless Dirac fermions and the~spectral flow of Dirac-type operators with classical boundary conditions
p. 437-453
Quantum kinetic equations of the~system ``graphene~+~dimensionally
p. 454-467
Taking parastatistical corrections to the~Bose--Einstein distribution into account in the~quantum and classical cases
p. 468-478
The~functional integral in the~Hubbard model
p. 479-496
Qualitative difference between solutions for a~model of the~Boltzmann equation in the~linear and nonlinear cases
p. 497-504
Using the~concept of natural geometry in the~nonlinear electrodynamics of the~vacuum
p. 505-512