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作者:Pierre Mathieu , David Ridout
来源:[J].Advances in Mathematics(IF 1.373), 2017, Vol.314, pp.71-123
摘要:Abstract(#br)We give new proofs of the rationality of the N = 1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu–Schwarz and Ramond sectors. For this, we combine the standard free field realisation with t...
作者:Olivier Blondeau-Fournier , Pierre Mathieu , Trevor A. Welsh
来源:[J].Nuclear Physics, Section B(IF 4.327), 2017, Vol.924, pp.643-683
摘要:Abstract(#br)We derive new fermionic expressions for the characters of the Virasoro minimal models M ( k , 2 k ± 1 ) by analysing the recently introduced half-lattice paths. These fermionic expressions display a quasiparticle formulation characteristic of the ϕ 2 , 1 and ϕ 1...
作者:Olivier Blondeau-Fournier , Pierre Mathieu , Trevor A. Welsh
来源:[J].Nuclear Physics B(IF 4.327), 2017, Vol.924 (C), pp.643-683
摘要:We derive new fermionic expressions for the characters of the Virasoro minimal models M(k,2k±1) by analysing the recently introduced half-lattice paths. These fermionic expressions display a quasiparticle formulation characteristic of the ϕ2,1 and ϕ1,5 integrable perturbatio...
作者:... Jeremy Patarin , Pierre Mathieu , Marguerite Rinaudo
来源:[J].SpringerPlus, 2016, Vol.5 (1), pp.1-6
摘要:Abstract(#br) Background(#br)Viscosupplementaion by intra-articular injection of hyaluronic acid (HA) is a therapeutic modality for treating osteoarthritis of the knee, of the hip and less frequently of other joints. During viscosupplementation, it is usual to inject other d...
作者:Pierre Mathieu , David Ridout
来源:[J].Physics Letters B(IF 4.569), 2007, Vol.657 (1-3), pp.120-129
摘要:Abstract(#br)The smallest deformation of the minimal model M ( 2 , 3 ) that can accommodate Cardy's derivation of the percolation crossing probability is presented. It is shown that this leads to a consistent logarithmic conformal field theory at c = 0 . A simple recipe for compu...
作者:Pierre Mathieu
来源:[J].Stochastic Processes and their Applications(IF 0.953), 1998, Vol.77 (1), pp.53-67
摘要:Abstract(#br)We study different examples of singular perturbations of one-dimensional stochastic differential equations. We derive limit theorems for random perturbations of dynamical systems and diffusions in a random environment.
作者:Pierre Mathieu
来源:[J].Stochastic Processes and their Applications(IF 0.953), 1995, Vol.60 (1), pp.103-111
摘要:Abstract(#br)We study the long-time asymptotics of a multi-dimensional diffusion with a random potential satisfying a scaling property. We prove a subdiffusivity property.
作者:Pierre Mathieu , Christoph Temmel
来源:[J].Stochastic Processes and their Applications(IF 0.953), 2012, Vol.122 (3), pp.1129-1153
摘要:Abstract(#br)Consider the class of k -independent bond or site percolations with parameter p on a tree T . We derive tight bounds on p for both almost sure percolation and almost sure nonpercolation. The bounds are continuous functions of k and the branching number of T . Th...
作者:Pierre Mathieu , David Ridout
来源:[J].Nuclear Physics, Section B(IF 4.327), 2006, Vol.765 (3), pp.201-239
摘要:Abstract(#br)The Wess–Zumino–Witten model defined on the group SU ( 2 ) has a unique (non-trivial) simple current of conformal dimension k / 4 for each level k . The extended algebra defined by this simple current is carefully constructed in terms of generalised commutation ...

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