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[PDF] Top 20 Nesting statistics in the $O(n)$ loop model on random planar maps

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Nesting statistics in the $O(n)$ loop model on random planar maps

Nesting statistics in the $O(n)$ loop model on random planar maps

... on random maps. This paper is concerned with the statistical prop- erties of nesting between ...loops. The situation is simpler in the planar case since every ... Voir le document complet

72

Central loops in random planar graphs

Central loops in random planar graphs

... France Random planar graphs appear in a variety of context and it is important for many different applications to be able to characterize their ...about the organization of these structures. ... Voir le document complet

14

Random Planar Maps coupled to Spin Systems

Random Planar Maps coupled to Spin Systems

... on the interface properties and the local limits of the decorated random ...maps. The first model defines a family of random quadrangulations of the disk ... Voir le document complet

161

Random matrices and the Potts model on random graphs

Random matrices and the Potts model on random graphs

... discuss the uses of topological expansions to study the Potts model on random graphs, that is some (shaded) elaboration of the so-called O(n) ...describing the topological ... Voir le document complet

34

On the growth of random planar maps with a prescribed degree sequence

On the growth of random planar maps with a prescribed degree sequence

... 1.1. Model and notation. — Recall that a (rooted planar) map is a finite (multi-)graph embedded in the two-dimensional sphere, in which one oriented edge is distinguished (the ... Voir le document complet

27

Bipolar orientations on planar maps and SLE12

Bipolar orientations on planar maps and SLE12

... (for loop-erased random walk and the uniform spanning tree) [ LSW04 ], {8/3, 6} (for percolation and Brownian motion) [ Smi01 , LSW01a ], {3, 16/3} (for the Ising and FK-Ising model) [ ... Voir le document complet

35

Scaling limits of random trees and planar maps

Scaling limits of random trees and planar maps

... between planar maps and the statistical physics of random surfaces can be found in Bouttier’s thesis ...From the probabilistic perspective, a planar map can be viewed as a ... Voir le document complet

58

Refined universal laws for hull volumes and perimeters in large planar maps

Refined universal laws for hull volumes and perimeters in large planar maps

... Introduction The study of random planar maps, which are connected graphs embedded on the sphere, has been for more than fifty years the subject of some intense activity among ... Voir le document complet

29

Infinite random planar maps related to Cauchy processes

Infinite random planar maps related to Cauchy processes

... studies the geometry of random Boltzmann planar maps with high degrees in the continuation of [ 10 ] and focuses on the critical case a = 2 which was left aside ...there. ... Voir le document complet

37

The two-point function of bicolored planar maps

The two-point function of bicolored planar maps

... within planar maps have raised a lot of interest in the recent years and led to many remarkable results on the statistics of distance correlations within families of ... Voir le document complet

44

Some results on the statistics of hull perimeters in large planar triangulations $and$ quadrangulations

Some results on the statistics of hull perimeters in large planar triangulations $and$ quadrangulations

... Understanding the statistics of random planar maps, ...on the sphere, as well as their various continuous limits, such as the Brownian map [9, 8] or the Brownian ... Voir le document complet

33

Monte Carlo particle transport in random media: The effects of mixing statistics

Monte Carlo particle transport in random media: The effects of mixing statistics

... ables, in the limit case of domains having an infinite exten- sion (4; 5; ...35). In this respect, Poisson tessellations have been shown to pos- sess a remarkable property: in the limit ... Voir le document complet

24

Statistics of geometric random simplicial complexes

Statistics of geometric random simplicial complexes

... illustrated in Fig. 1, representing the case where a point is deployed over a ...of the main results of this paper is the explicit expression for the variance of the number of ... Voir le document complet

23

Statistics of localized phase slips in tunable width planar point contacts

Statistics of localized phase slips in tunable width planar point contacts

... of the investigations have focussed on long nanowires 15,16 where the loci of the events along the nanowire are undetermined, or on short suspended nanowires with poor heat removal conditions ... Voir le document complet

12

Exploring the Cloud Computing Loop in the Strategic Alignment Model

Exploring the Cloud Computing Loop in the Strategic Alignment Model

... At the second stage, Utilization of Information features the outcomes of cloud adop- tion and ...at the first stage to design strat- ...update the existing strategy in light of changes ... Voir le document complet

10

Statistics of geometric random simplicial complexes

Statistics of geometric random simplicial complexes

... for the one-dimensional case, but the results in this work holds for any dimension ...d. The principal idea of the problem is that each sensor can control some environ- mental ... Voir le document complet

23

Planar maps, circle patterns and 2d gravity

Planar maps, circle patterns and 2d gravity

... that the continuous limit of large 2-dimensional maps, should be the same thing as the so-called 2d-quantum gravity, ...of random surfaces, or also a theory of random metrics ... Voir le document complet

43

Combinatorics of planar maps and algorithmic applications.

Combinatorics of planar maps and algorithmic applications.

... introduced in [101] a beautiful combinatorial structure for triangulations, which he called realizer, and is now usually called Schnyder ...given in terms of angle labelings, orien- tations, or colorings. ... Voir le document complet

193

Periodicity of certain piecewise affine planar maps

Periodicity of certain piecewise affine planar maps

... coordinates in Z[λ], which proves Conjecture ...is the composition of the first hitting map to the image of a suitably chosen self inducing domain under a (contracting) scaling map and ... Voir le document complet

41

Spectral statistics for weakly correlated random potentials

Spectral statistics for weakly correlated random potentials

... now the “local” Hamiltonians (H ω,Λ ˜ ℓ (γ j ) ) j are not necessarily stochastically ...independent. In our application of Theorem 2.4 to the model (1.1), the choice we will make for ... Voir le document complet

20

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