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Heat conduction: a telegraph-type model with self-similar behavior of solutions II
Heat conduction telegraph-type model self-similar behavior of solutions II
2010/12/15
In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210 or arXiv:1002.0999v1 [math-
ph]) we introduced a modified Fourier-Cattaneo law and derived a non-autonomous telegraph-type
heat conduc...
Modular dynamics in diamonds
Modular dynamics diamonds
2010/12/13
We investigate the relation between the actions of Tomita-Takesaki modular operators for local von Neumann algebras in the vacuum for free massive and massless bosons in four dimensional Minkowskian s...
hermodynamic formalism for the positive geodesic flow on the modular surface
hermodynamic formalism positive geodesic flow modular surface
2010/12/10
In this note we study the thermodynamic formalism for the pos-itive geodesic flow on the modular surface. We define the pressure and prove the variational principle. We also establish conditions for t...
Moduli of Galois p-covers in mixed characteristics
Moduli of Galois p-covers mixed characteristics
2010/12/9
Fix a prime number p. The aim of this paper is to define a complete moduli stack of degree-p covers Y → X, with Y a stable curve which is a G-torsor over X, for a suitable group scheme G/X. The curve ...
Seminar Notes on Open Questions in Iwasawa Theory - SNOQIT I: The $\Lambda[ G ]$-modules of Iwasawa theory II: Units and Kummer theory in Iwasawa extensions
11R23 Iwasawa Theory 11R27 Units
2010/12/9
For = Zp[[T ]], the ring of formal power series in one variable, the structure of the finitely generated - torsion modules is a main concern of Iwasawa theory. In this first part of Snoqit1 we inv...
Frobenius extensions play a central role in the link homology theories based upon the sl(n)
link variants, and each of these Frobenius extensions may be recast geometrically via a category of marked ...
Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits
Toric variety normality simple module classical root system
2010/12/10
Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v ∈ V the closure of its T -orbit is
a normal affine variety. F...
A note on trace scaling actions and fundamental groups of $C^*$-algebras
Fundamental group Trace scaling action Dimension group
2010/12/1
Using Effros-Handelman-Shen theorem and Elliott’s classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A K admits no trace scaling ...
Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A
Modules with 1-dimensional socle components
2010/11/26
For any simply-laced Kac-Moody Lie algebra g, Lusztig [L] has constructed canonical bases
for its representations using the geometry of quiver varieties. In particular, Lustzig considered the variety...
MIMO Identical Eigenmode Transmission System (IETS) - A Channel Decomposition Perspective
Identical Eigenmode Transmission System Channel Decomposition Perspective
2010/12/8
In the past few years considerable attention has been given to the design of Multiple-Input Multiple-Output (MIMO) Eigenmode Transmission Systems (EMTS). This paper presents an in-depth analysis of a ...
The algebraic structure of finitely generated $L^{0}(\mathcal{F},K)$-modules
Finitely generated L0(F,K)-modules, Stratification structure
2010/12/13
Let K be the scalar field of all real or complex numbers, (,F, P) a probability space, and L0(F,K) the algebra of equivalence classes of K–valued F–measurable random variables on. This paper proves th...
G-subsets and G-orbits of Q(sqrt n) under action of the modular group
Real quadratic irrational number Congruences Quadratic residues Linear-fractional transformations
2010/12/10
It is well known that G = hx, y : x2 = y3 = 1i represents the modular group PSL(2,Z), where x : z → −1 z , y : z → z−1 z are linear fractional transformations. Let n = k2m, where k is any ...
In this survey paper we give a relatively simple and coordinate free description of the WZW model as a local system whose base is the Gm-bundle associated to the determinant bundle on the moduli stack...
Dual Bass Numbers and Co-Cohen Macaulay Modules
Co-localization Dual Bass numbers Co-Cohen Macaulay modules
2010/12/3
In this paper, we give a characterization of Co-Cohen Macaulay mod-ules by vanishing properties of the Dual Bass numbers of modules. In addition, we show that the co-localization of Co-Cohen Macaulay ...
Drinfeld Zastava is a certain closure of the moduli space of maps from the projective line to the Kashiwara flag scheme of the affine Lie algebra ˆ sln. We introduce an affine, reduced, irreducib...