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It is a well-known result of Etingof, Nikshych and Ostrik that there are finitely many inequivalent integral modular categories of any fixed rank n.This follows from a double-exponential bound on the ...
We show that any Weyl module for a current algebra has a filtration such that each successive quotient is isomorphic to some Demazure mod-ule.
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson j...
We review some recent results concerning Landau levels and Tomita-Takesaki modular theory. We also extend the general framework behind this to quasi *-algebras, to take into account the possible appea...
Modeling of complex phenomena such as the mind presents tremendous computational complexity challenges. Modeling field theory (MFT) addresses these challenges in a non-traditional way. The main idea b...
On X projective smooth over an algebraically closed field of characteristic p > 0, we show that irreducible stratified bundles have rank 1 if and only if the commutator [´et 1 , ´et 1 ]...
We present the program boundary, whose source les are available at http://people.sissa.it/~maggiolo/boundary/. Given two natural num-bers g and n satisfying 2g + n 􀀀 2 > 0, the program gener...
We establish new results concerning projectors on max-plus spaces, as well as separating half-spaces, and derive an explicit formula for the distance in Hilbert's projective metric between a point and...
Let R be a polynomial ring and M a finitely generated graded R-module of maximal grade (which means that the ideal It(A) generated by the maximal minors of a homogeneous presentation matrix.
We present experimental evidence of statistical conformal invariance in isocontours of fluid thickness in experiments of two-dimensional turbulence using soap films. A Schlieren technique is used to v...
The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields.
We show that the Brauer group of any moduli space of stable pairs with fixed determinant over a curve is zero.
For a dg algebra whose homology is of finite dimension in each degree, vanishes in negative degrees and is semi-simple in degree 0, we show that each simple module over the homology lifts to a differ...
We consider the design of an effective and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE).We first examine the two-term regularization technique for ...
There is a canonical JSJ-decomposition of a free group relative to a line pattern. This provides a characterization of virtually geometric multiwords. They are the multiwords that are built from geome...

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