Results 51 to 60 of about 3,545,390 (309)
Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process
Axioms, 2016 In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
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Representations of G+++ and the role of space-time [PDF]
JHEP0402:033,2004, 2003 We consider the decomposition of the adjoint and fundamental representations of very extended Kac-Moody algebras G+++ with respect to their regular A type subalgebra which, in the corresponding non-linear realisation, is associated with gravity. We find that for many very extended algebras almost all the A type representations that occur in the ...
arxiv +1 more source
Neural representation of abstract task structure during generalization
eLife, 2021 Cognitive models in psychology and neuroscience widely assume that the human brain maintains an abstract representation of tasks. This assumption is fundamental to theories explaining how we learn quickly, think creatively, and act flexibly.
Avinash R Vaidya +3 more
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Analytic Bethe ansatz for fundamental representations of Yangians [PDF]
Communications in Mathematical Physics, 1995 We study the analytic Bethe ansatz in solvable vertex models associated with the Yangian $Y(X_r)$ or its quantum affine analogue $U_q(X^{(1)}_r)$ for $X_r = B_r, C_r$ and $D_r$. Eigenvalue formulas are proposed for the transfer matrices related to all the fundamental representations of $Y(X_r)$. Under the Bethe ansatz equation, we explicitly prove that
Kuniba, Atsuo, Suzuki, Junji
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Arithmetic representations of fundamental groups, II: Finiteness [PDF]
Duke Mathematical Journal, 2021 30 pages, comments welcome!
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Yang-Yang functions, monodromy and knot polynomials
Journal of High Energy Physics, 2021 We derive a structure of ℤ[t, t −1]-module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classical type, we give explicit wall-crossing formula and prove that the monodromy ...
Peng Liu, Wei-Dong Ruan
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Fractional-Modified Bessel Function of the First Kind of Integer Order
Mathematics, 2023 The modified Bessel function (MBF) of the first kind is a fundamental special function in mathematics with applications in a large number of areas.
Andrés Martín, Ernesto Estrada
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Fundamental representations of quantum affine superalgebras and R-matrices [PDF]
, 2015 We study a certain family of finite-dimensional simple representations over quantum affine superalgebras associated to general linear Lie superalgebras, the so-called fundamental representations: the denominators of rational $R$-matrices between two fundamental representations are computed; a cyclicity (and so simplicity) condition on tensor products ...
arxiv +1 more source
A Toy Model for Torsorial Nature of Representations
Information, 2012 This paper presents a toy model for the representation related phenomena. It is the representation that is always referred to. The represented thing in itself is indeterminate existence at a fundamental level of understanding.
Makoto Yoshitake
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On the infrared divergence and global colour in N $$ \mathcal{N} $$ = 4 Yang-Mills theory
Journal of High Energy Physics, 2020 The N $$ \mathcal{N} $$ = 4 superconformal Yang-Mills theory on flat four-dimensional Minkowski space is a de-confined gauge theory in the sense that the string tension for fundamental representation coloured quarks vanishes.
Su Yu Ding +2 more
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