[PDF] Top 20 Directed polymers in random media and multifractal fields

... of directed polymers at positive temperature was undertaken by Imbrie, Spencer in 1988 ([30]) and carried out by numerous authors ([1],[7],[9],[11],[52],[53]); for an overview of the achieved ... Voir le document complet

... 3 and that the normalized partition function is bounded in L 2 (see subchapters ...diffusive in the sense that a central limit theorem holds: by scaling by the square root of time, the simple ... Voir le document complet

... x) and positive angle, and it has a positive density. In words, there is a huge number of oriented paths of length n with energy H n = n − ... Voir le document complet

... K, and by minimality of d there are only finitely many of ...L/K and an infinite subfamily F 0 ⊆ F such that for any two distinct M 1 , M 2 ∈ F 0 , M 1 ∩ M 2 = K 1 ... Voir le document complet

... effect and allows a more flexibility for long-range dependence in ...is, in the model ( 2 ) we will consider the processes Q to be multifractal process called ”infinitely divisible cascading ... Voir le document complet

... 10 and 11 the main results in the theory of planar Markovian holonomy fields are ...of random variables allow us in Section 8 to construct, for any L´evy process which is self-invariant ... Voir le document complet

... 2010) In a disordered medium with Kerr-type nonlinearity, the transmitted speckle pattern was predicted to become unstable, as a result of the positive feedback between the intensity fluctuations and the ... Voir le document complet

... waves in complex media can be harnessed either by taming the incident wave-field impinging on the medium or by forcing waves along desired paths through its careful ...counterpart and vice versa. ... Voir le document complet

... functions and real numbers parametrized by ...θ. In this chapter we investigate two solutions to this inference problem, both based on the maximization of the likelihood of the observed ...computational ... Voir le document complet

... stable random fields are defined in Section 2. In this section, we also state all the assumptions we will need and present many examples that fulfill ...as in [7, 6]. In ... Voir le document complet

... outlined in Sec- tion 2 , which is based on the choice of a suitable prior π on Φ h , defined as ...the random vector r|Nh | −1/2 ξ, where the coordinates of the random vector ξ—indexed by N 0 h —are ... Voir le document complet

... separately), and must have low memory storage (because of constraints involved in GPU ...progress in procedu- ral noise by example [ Lagae et ...on random phase ...procedural, and was ... Voir le document complet

... of random fractals, scale invariance, or self-similarity to characterize tex- ...is multifractal analysis (MFA) [ 4 , 32 ], which enables scale invariant image texture to be described via the spatial ... Voir le document complet

... The paper is organized as follows. We first recall weak dependence from [6] in § 2. General results are then stated for stationary (non necessarily independent) inputs. Those results imply heavy restrictions on ... Voir le document complet

... mainly in the 60’s by mathematicians such as Cram´er and Leadbetter ([9] and references therein) who obtained in particular the distribution function of the sum of successive chords, De Mar´e ... Voir le document complet

... operator in a layered isotropic half-space is derived by means of standard functional analytic ...directly in terms of displacements which leads to a 2 × 2 Sturm-Liouville ...expressed in terms of ... Voir le document complet

... found in data mining when considering association ...a and b, an association rule of the form a → b means that “when a is T RU E, then usually b is also T RU ...appears in real-life corpuses where we ... Voir le document complet

... show in microwave measurements and computer simulations that the contribution of each eigenchannel of the transmission matrix to the density of states (DOS) is the derivative with angular frequency of a ... Voir le document complet

... random fields and do not restrict to the Gaussian ...Gaussian random fields, we obtain in Propositions 2 and 3 generalizations of Proposition 1 to broad classes of T ’s, ... Voir le document complet

... The examples included a tiny one-dimensional problem where it is computationally practical to compute the estimator performance statistics versus observa- tion noise [r] ... Voir le document complet