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Local classification of singular hexagonal 3-webs with holomorphic Chern connection form and infinitesimal symmetries
(2014)
Implicit ODE, cubic in derivative, generically has no infinitesimal symmetries even at regular points with distinct roots. Cartan showed that at regular points, ODEs with hexagonal 3-web of solutions have symmetry algebras ...
Extended symmetry groups of multidimensional subshifts with hierarchical structure
(American Institute of Mathematical Sciences, 2020)
The centralizer (automorphism group) and normalizer (extended symmetry group) of the shift action
inside the group of self-homeomorphisms are studied, in the context of certain Z(d) subshifts with a
hierarchical supertile ...
Non-relativistic anyons, exotic galilean symmetry and noncommutative plane
(SOCIETA ITALIANA DI FISICA, 2002)
Electric chern-simons term, enlarged exotic galilei symmetry and noncommutative plane
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006)
Symmetry and non-uniformly elliptic operators
The goal of this paper is to study the symmetry properties of nonnegative solutions of elliptic equations involving a non uniformly elliptic operator. We consider on a ball the solutions of ∆pu + f(u) = 0 with zero Dirichlet ...
End-to-end construction for the Allen–Cahn equation in the plane
(Springer, 2015)
In this paper, we construct a wealth of bounded, entire solutions of the Allen–Cahn
equation in the plane. The asymptotic behavior at infinity of these solutions is determined
by 2L half affine lines, in the sense that, ...