Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions [PDF]
, 2010 In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order.
Aubin J.-P. +5 more
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Fractional Strings in (p,q) 5-brane and Quiver Matrix String Theory [PDF]
, 1998 We study the (p,q)5-brane dynamics from the viewpoint of Matrix string theory in the T-dualized ALE background. The most remarkable feature in the (p,q)5-brane is the existence of ``fractional string'', which appears as the instanton of 5-brane gauge ...
Okuyama, Kazumi, Sugawara, Yuji
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Cellular Automata and Powers of $p/q$ [PDF]
, 2017 We consider one-dimensional cellular automata $F_{p,q}$ which multiply numbers by $p/q$ in base $pq$ for relatively prime integers $p$ and $q$. By studying the structure of traces with respect to $F_{p,q}$ we show that for $p\geq 2q-1$ (and then as a ...
Kari, Jarkko, Kopra, Johan
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Instanton on toric singularities and black hole countings [PDF]
, 2006 We compute the instanton partition function for ${\cal N}=4$ U(N) gauge theories living on toric varieties, mainly of type $\R^4/\Gamma_{p,q}$ including $A_{p-1}$ or $O_{\PP_1}(-p)$ surfaces.
A.S. Losev +31 more
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On the Complexity of Digraph Colourings and Vertex Arboricity
, 2020 It has been shown by Bokal et al. that deciding 2-colourability of digraphs is an NP-complete problem. This result was later on extended by Feder et al. to prove that deciding whether a digraph has a circular $p$-colouring is NP-complete for all rational
Hochstättler, Winfried +2 more
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Fractional ac Josephson effect in p- and d-wave superconductors [PDF]
, 2004 For certain orientations of Josephson junctions between two p_x-wave or two d-wave superconductors, the subgap Andreev bound states produce a 4pi-periodic relation between the Josephson current I and the phase difference phi: I sin(phi/2).
Kwon, Hyok-Jon +2 more
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Fractional topological states of dipolar fermions in one-dimensional optical superlattices
, 2013 We study the properties of dipolar fermions trapped in one-dimensional bichromatic optical lattices and show the existence of fractional topological states in the presence of strong dipole-dipole interactions. We find some interesting connections between
Chen, Shu, Li, Linhu, Xu, Zhihao
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A generalisation of the fractional Brownian field based on non-Euclidean norms [PDF]
, 2015 We explore a generalisation of the L\'evy fractional Brownian field on the Euclidean space based on replacing the Euclidean norm with another norm. A characterisation result for admissible norms yields a complete description of all self-similar Gaussian ...
Molchanov, Ilya, Ralchenko, Kostiantyn
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Generalized Tu Formula and Hamilton Structures of Fractional Soliton Equation Hierarchy
, 2010 With the modified Riemann-Liouville fractional derivative, a fractional Tu formula is presented to investigate generalized Hamilton structure of fractional soliton equations.
Adda +64 more
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The flexible nature of exchange, correlation and Hartree physics: resolving "delocalization" errors in a 'correlation free' density functional [PDF]
, 2013 By exploiting freedoms in the definitions of 'correlation', 'exchange' and 'Hartree' physics in ensemble systems we better generalise the notion of 'exact exchange' (EXX) to systems with fractional occupations functions of the frontier orbitals, arising ...
Dobson, John F., Gould, Tim
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