Nontame Morse–Smale flows and odd Chern–Weil theory

Renormalization Group Flows for the Second Z N Parafermionic Field Theory for N Odd

Using the renormalization group approach, the Coulomb gas and the coset techniques, the effect of slightly relevant perturbations is studied for the second parafermionic field theory with the symmetry ZN , for N odd. New fixed points are found and classified. ∗ Unité Mixte de Recherche UMR 7589 Parafermionic conformal field theories describe systems enjoying conformal symmetry and a cyclic symm...

Odd-flavored QCD3 and Random Matrix Theory

We consider QCD3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function. We argue that the theory is parity invariant at the classical level if an odd number of masses are zero. By introducing so-called pseudo-orthogonal polynomials we are able to relate the kernel to the k...

Improper Graceful and Odd-graceful Labellings of Graph Theory

Abstract In this paper we define some new labellings for trees, called the in-improper and out-improper odd-graceful labellings such that some trees labelled with the new labellings can induce graceful graphs having at least a cycle. We, next, apply the new labellings to construct large scale of graphs having improper graceful/odd-graceful labellings or having graceful/odd-graceful labellings.

Network flows - theory, algorithms and applications

Finite volume flows and Morse theory

In this paper we present a new approach to Morse theory based on the de Rham-Federer theory of currents. The full classical theory is derived in a transparent way. The methods carry over uniformly to the equivariant and the holomorphic settings. Moreover, the methods are substantially stronger than the classical ones and have interesting applications to geometry. They lead, for example, to form...