منابع مشابه
Generalized Reflection Coefficients
I consider general reflection coefficients for arbitrary one-dimensional whole line differential or difference operators of order 2. These reflection coefficients are semicontinuous functions of the operator: their absolute value can only go down when limits are taken. This implies a corresponding semicontinuity result for the absolutely continuous spectrum, which applies to a very large class ...
متن کاملLittlewood–Richardson coefficients for reflection groups
Article history: Received 21 June 2012 Received in revised form 7 June 2015 Accepted 23 July 2015 Available online xxxx Communicated by Roman Bezrukavnikov
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A combinatorial proof of the unimodality of the generalized q-Gaussian coefficients [ N λ ] q based on the explicit formula for Kostka-Foulkes polynomials is given. 1. Let us mention that the proof of the unimodality of the generalized Gaussian coefficients based on theoretic-representation considerations was given by E.B. Dynkin [1] (see also [2], [10], [11]). Recently K.O’Hara [6] gave a cons...
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Kronecker coefficients are tensor product multiplicities for the irreducible representations of the symmetric group. In this paper, we identify directions in the parameter space for tensor products along which these multiplicities are monotone convergent, generalizing a classical result of Murnaghan.
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We investigate generalized Sherrington-Kirkpatrick glassy systems without reflection symmetry. In the neighborhood of the transition temperature, we, in general, uncover the structure of the glass state building the full-replica-symmetry-breaking solution. A physical example of the explicitly constructed solution is given.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2015
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-015-2341-9