Random fields on the adele ring and Wilson's renormalization group
Rapidities and observable 3-velocities in the flat Finslerian event space with entirely broken 3D isotropy.
Rational BV-algebra in string topology
Let be a 1-connected closed manifold of dimension and be the space of free loops on . M.Chas and D.Sullivan defined a structure of BV-algebra on the singular homology of , . When the ring of coefficients is a field of characteristic zero, we prove that there exists a BV-algebra structure on the Hochschild cohomology which extends the canonical structure of Gerstenhaber algebra. We construct then an isomorphism of BV-algebras between and the shifted homology . We also prove that the...
Rational string topology
We use the computational power of rational homotopy theory to provide an explicit cochain model for the loop product and the string bracket of a simply connected closed manifold . We prove that the loop homology of is isomorphic to the Hochschild cohomology of the cochain algebra with coefficients in . Some explicit computations of the loop product and the string bracket are given.
Rearrangement of lattice particles.
Recent developments in instantons in noncommutative .
Reflections and twists
Relative zeta determinants and the geometry of the determinant line bundle.
Relativistic hamiltonian dynamics of singularities of the Liouville equation
Relativity and irreversibility.
Removable singularities of Yang-Mills fields in
Renormalization group approach to zero temperature Bose condensation.
Renormalization, isogenies, and rational symmetries of differential equations.
Renormalization of the quantum equation of motion for Yang--Mills fields in background formalism.
Représentations des groupes quantiques
Representations of orbifold groups and parabolic bundles.
Representations of the Kauffman bracket skein algebra of the punctured torus
We describe the action of the Kauffman bracket skein algebra on some vector spaces that arise as relative Kauffman bracket skein modules of tangles in the punctured torus. We show how this action determines the Reshetikhin-Turaev representation of the punctured torus. We rephrase our results to describe the quantum group quantization of the moduli space of flat SU(2)-connections on the punctured torus with fixed trace of the holonomy around the boundary.
Representations of and the value of the fine structure constant.
Rogers-Ramanujan identities: A century of progress from mathematics to physics.
Rotation-invariant operators on white noise functional.