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  • Frobenius 3-Folds via Singular Flat 3-Webs 
    Agafonov, S.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following ...
  • From animal hibernation to human’s hypometabolism: cellular mechanisms of natural and artificial hypobiosis 
    Repina, S.V.; Nardid, O.A.; Shylo, O.V.; Kovalenko, I.F. (Український антарктичний журнал, 2017)
    Objective: to carry out a comparative study of structural and functional responses of rats and hamsters RBCs when the animals entered and left an artificial hypobiosis state under conditions of hypothermia-hypoxia-hypercapnia.
  • From Belgrade to Sofia with N.N. Bogolyubov in September 1978 
    Stefan V.A. (Український фізичний журнал, 2010)
  • From Brownian motion to power of fluctuations 
    Berche, B.; Holovko, M.; Trokhymchuk, A.; Vlachy, V. (Condensed Matter Physics, 2012)
  • From Conformal Group to Symmetries of Hypergeometric Type Equations 
    Dereziński, J.; Majewski, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries ...
  • From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve 
    Boukraa, S.; Hassani, S.; Maillard, Jean-Marie; Zenine, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We recall the form factors f(j)N,N corresponding to the l-extension C(N,N; l) of the two-point diagonal correlation function of the Ising model on the square lattice and their associated linear differential equations which ...
  • From Jack to Double Jack Polynomials via the Supersymmetric Bridge 
    Lapointe, L.; Mathieu, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The Calogero-Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this model, although much less ubiquitous, has ...
  • From Laplacian Transport to Dirichlet-to-Neumann Gibbs) Semigroups 
    Zagrebnov, V.A. (Журнал математической физики, анализа, геометрии, 2008)
    The paper gives a short account of some basic properties of Dirichlet-to-Neumann operators Λγ∂Ω including the corresponding semigroups motivated by the Laplacian transport in anisotropic media (γ ≠ I) and by elliptic systems ...
  • From Liberal Globalisation to Economic Nationalism? 
    Lane, D. (Социология: теория, методы, маркетинг, 2019)
    Contemporary counter movements, universally dubbed as "populist" differ in many respects, but they all agree on a number of significant political and economic issues. First, a condemnation of the economic polices shared ...
  • From nanomaterials and nanotechnologies to the alternative energy 
    Guglya, O.G.; Gusev, V.A.; Lyubchenko, O.A. (Успехи физики металлов, 2018)
    In this review, a special attention is focused on the three types of nanocrystalline objects of greatest interest for power engineering, namely, solar cells, lithium-ion batteries and solid-state hydrogen storage. Their ...
  • From Noncommutative Sphere to Nonrelativistic Spin 
    Deriglazov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory. It can be quantized according to Berezin-Marinov prescription, replacing ...
  • From optical spectra to phase diagrams — the binary mixture N2–CO 
    Vetter, M.; Brodyanski, A.; Jodl, H.-J. (2007)
    We investigated the T–c% phase diagram of the binary system N2–CO. From changes in IR spectra of all kinds of mode excitations (phonons, vibrons) we were able to determine the temperature of phase transitions (solid–solid, ...
  • From phase transitions to dynamics of liquids: on the 50-th anniversary of Ihor Mryglod 
    Bryk, T. (Condensed Matter Physics, 2010)
    The main idea of this Special issue of "Condensed Matter Physics" was to get together in one volume contributions from research fields that encompass I.Mryglod's interests over the last 25 years.
  • From Polygons to Ultradiscrete Painlevé Equations 
    Ormerod, C.M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise ...
  • From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation 
    Chicherin, D.; Derkachov, S.E.; Spiridonov, V.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We start from known solutions of the Yang-Baxter equation with a spectral parameter defined on the tensor product of two infinite-dimensional principal series representations of the group SL(2,C) or Faddeev's modular double. ...
  • From Quantum AN (Calogero) to H₄ (Rational) Model 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A brief and incomplete review of known integrable and (quasi)-exactly-solvable quantum models with rational (meromorphic in Cartesian coordinates) potentials is given. All of them are characterized by (i) a discrete symmetry ...
  • From Quantum AN to E₈ Trigonometric Model: Space-of-Orbits View 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits). These models are completely-integrable and admit ...
  • From reverse transcription to human brain tumors 
    Dmitrenko, V.V.; Avdieiev, S.S.; Areshkov, P.O.; Balynska, O.V.; Bukreieva, T.V.; Stepanenko, A.A.; Chausovskii, T.I.; Kavsan, V.M. (Вiopolymers and Cell, 2013)
    Reverse transcriptase from avian myeloblastosis virus (AMV) was the subject of the study, from which the investigations of the Department of biosynthesis of nucleic acids were started. Production of AMV in grams quantities ...
  • From single SQUID to superconducting quantum arrays 
    Kornev, V.K.; Kolotinskiy, N.V.; Sharafiev, A.V.; Soloviev, I.I. (Физика низких температур, 2017)
    Superconducting quantum arrays (SQAs) capable of providing highly linear voltage response to magnetic signal and high dynamic range have been suggested and developed. Base elements of the arrays, quantum cells, were devised ...
  • From slq(2) to a Parabosonic Hopf Algebra 
    Tsujimoto, S.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated ...