# [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

... 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

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### 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

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### 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

... 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

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### 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

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### 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

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### 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

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### 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

... 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

... 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

... 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

... 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

... 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

... 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

... 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

... 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

... 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.

... 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

... 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

... 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

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