... γ-Hölder paths. There is a geometric γ-rough path X such that hX st , ai = x t a − x a s for all a ∈ ...geometric rough path over the given Hölder paths, thus improving Theorem ...analytical ...
... q and the condition γ ` ρν ą 1 corresponds to the condition 1 ` ε 1 ą 1 in the third line of ...drift and a Brownian path, the Young integral is used in order to give a meaning to the drift part, exactly as ...
... set of points (t, x) with t ∈ N, x ∈ Z, P (ω t = x) > 0, which are connected to ∞ by an open oriented path – i.e., a path ω with η(s, ω s ) = 1 ∀s > t. It is known that this cluster, at large scale, is ...
... lattice and Brownian webs In this section, two differences between the CBW and its plane analogous are put ...↑ and W ↓ contains ...bi-infinite paths are identified by taking the limit of ...
... 1 and b 6= ℓ + ...K(P) and K(Q) are disjoint, the sets S(P) and S(Q) are contained in different of the two arcs of C \ (K a ∪ K b ...P and Q have a common arc ...order and, subject to ...
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
... [18] and population protocols ...multiple and possibly concurrent random walks, comparatively little is known about the theory of multiple random ...
... mers and the notion of the volume of the space of connected branched polymers studied by Brydges and Imbrie [BI], and Kenyon and Winkler [KW] to any hyperplane arrangement ...branched ...
... Bradford and Shimpo (1997) found that while the HOV model provided an excellent explanation for interregional trade in Japan, it worked poorly in explaining trade among ...UK and the USA, he ...
... unique and each vertex v sends a unique multicast M (v) to the set S(v) of ...digraph and not a multidigraph (there is no multiple arcs) as S(v) is a ...
... , and if x / ∈ I , there are at least two ar
s entering I with dierent ...I and m 2 any minimal element of I \ m 1 ...2 and tails not in I ...1 and vm 2 are both ba
kward of both forward ...
... 2 and n odd could be shortened using the characterization of the Hamiltonian Consecutive-1 ...2) and G(1, n, 4, ...0) and G(1, n, 4, 3) are never Hamiltonian. Moreover, G(1, n, 4, 1) and G(1, ...
... were slightly modied to obtain non-numerical attributes. One additional real-life data set, named nbuses, was coming from known rough sets application [S lowi nski et al., 1996]. Finally , we created an arti ...
... versus Non-Social actions and in right pSTS for Transitive vs Intransitive actions (see Figure 460. 5B and Extended Data Table 5-1), thus confirming the results obtained in the ROI anal[r] ...
... treatment, and grain size have little influence on ...Al and SiC layers were deposited on Si (111) single-crystal wafers by DC and RF power, ...test and was independent of the layer thickness ...
... Notice that Lovejoy’s result can be seen as an overpartition analogue of Gordon’s theorem, in the sense that the conditions on the B k (n) reduce to the conditions on the B k,k (n) if the overpartition has no overlined ...
... ∞], and the forbidden intervals are [0,24], [31,49], [61,74], [91,99] and ...Papadimitriou and Yannakakis [31] who proved its NP-completeness in the ordinary sense, and Karzanov [22] who ...
... vertices, and are hyperarc disjoint if they have no hyperarc in ...if and only if there exist at least κ vertex (resp. arc) disjoint paths between any pair of ...
... ) and (B(ν) ∗ , B(ν) ∗ ...4.2, and that does not depend solely on A and ...set and maintain truth-functionality for evaluating formulae expressing approximation pairs is thus paid by the fact ...
... ∂s and ∂y ∂t ) from this bounding box and use the OpenGL textureGrad function to look up the NDF value with an anisotropic sampler in the NDF ...t1 and the NDF normal and the new exponent κ D ...