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1+1 Gaudin Model
1+1 Gaudin Model
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2011/1/18
We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N)case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic cu...
SUSY Jumps Out of Superspace in the Supersymmetric Standard Model
SUSY Jumps Out Superspace Supersymmetric Standard Model
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2011/3/3
The supersymmetric standard model (SSM) appears to be firmly grounded in superspace.For example, it would be natural to assume that all the physically important composite operators can be made by comb...
Constructing a Model Transport Equation for a Massless Bose Gas and its Analytic Solution
massless Bose gas boundary value problem
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2011/1/21
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value prob-lem for the transport of radiation in the half-space o...
On the moments and the interface of the symbiotic branching model
Symbiotic branching model mutually catalytic branching
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2011/1/19
In this paper we introduce a critical curve separating the asymptotic behavior of the moments of the symbiotic branching model,introduced by Etheridge and Fleischmann [Stochastic Process. Appl.114 (20...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
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2011/3/3
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
The antiferromagnetic Potts model
Potts model Bethe Ansatz Conformal Field Theory
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2011/1/20
We review the exact results on the various critical regimes of the antiferromagnetic Q-state Potts model. We focus on the Bethe Ansatz approach for generic Q, and describe in each case the effective d...
Proper Resolutions and Auslander-Type Conditions of Modules
Proper Resolutions Auslander-Type Conditions of Modules
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2011/1/19
We obtain some methods to construct a (strongly) proper resolution (resp. coproper coresolution) of one end term in a short exact sequence from that of the other two terms.
By using this method, we p...
Iwasawa Theory for the Symmetric Square of a CM Modular Form at Inert Primes
Iwasawa Theory Symmetric Square CM Modular Form
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2011/1/19
Let f be a CM modular form and p an odd prime which is inert in the CM field. We construct
two p-adic L-functions for the symmetric square of f, one of which has the same interpolating properties as ...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Multifractal analysis linearization effect compound Poisson motion
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2011/3/3
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
1+1 Gaudin Model
1+1 Gaudin Model
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2010/12/28
We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N)
case we introduce equations of motion and L-A pair with spectral parameter on the Riemann
sphere and elliptic...
Interpolation problems by completely positive maps
Completely positive map quantum operations dilations Hermitian matrices
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2011/1/19
Given commuting families of Hermitian matrices {A1, . . . ,Ak} and {B1, . . . ,Bk},conditions for the existence of a completely positive map Φ, such that Φ(Aj) = Bj for j =1, . . . , k, are studied. A...
Continuity correction for barrier options in jump-diffusion models
Barrier option Bessel process Continuity correction Exponential L´ evy model
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2011/2/22
The aim of this paper is to study the continuity correction for barrier options in jump-diffusion models. For this purpose, we express the pay-off of a barrier option in terms of the maximum of the un...
On the notion of guessing models
notion guessing models
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2011/1/20
We introduce the notion of guessing model. This notion is a mean to attribute to accessible cardinals combinatorial properties which can be used in combination with inaccessibility to characterize var...
Applying GreenLab Model to Adult Chinese Pine Trees with Topology Simplification
GreenLab Model Adult Chinese Pine Treesh opology Simplification
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2011/2/21
This paper applied the functional structural model GreenLab to adult Chinese pine trees (pinus
tabulaeformis Carr.).
Wave Speed in the Macroscopic Extended Model for Ultrarelativistic Gases
Wave Speed Macroscopic Extended Model Ultrarelativistic Gases
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2011/1/19
An exact macroscopic extended model for ultrarelativistic gases,with an arbitrary number of moments, is present in the literature.Here we exploit equations determining wave speeds for that model.We fi...