標題: Titlebook: Coarse Geometry and Randomness; école d’été de Proba Itai Benjamini Book 2013 Springer International Publishing Switzerland 2013 82B43,82B4 [打印本頁] 作者: Addendum 時間: 2025-3-21 18:38
書目名稱Coarse Geometry and Randomness影響因子(影響力)
書目名稱Coarse Geometry and Randomness影響因子(影響力)學科排名
書目名稱Coarse Geometry and Randomness網(wǎng)絡公開度
書目名稱Coarse Geometry and Randomness網(wǎng)絡公開度學科排名
書目名稱Coarse Geometry and Randomness被引頻次
書目名稱Coarse Geometry and Randomness被引頻次學科排名
書目名稱Coarse Geometry and Randomness年度引用
書目名稱Coarse Geometry and Randomness年度引用學科排名
書目名稱Coarse Geometry and Randomness讀者反饋
書目名稱Coarse Geometry and Randomness讀者反饋學科排名
作者: 農(nóng)學 時間: 2025-3-21 23:08
Book 2013ts, before moving on to examine the manifestation of the underlying geometry in the behavior of random processes, mostly percolation and random walk..The study of the geometry of infinite vertex transitive graphs, and of Cayley graphs in particular, is fairly well developed. One goal of these notes 作者: Nausea 時間: 2025-3-22 01:36
Percolation Perturbations,emerge. When the clusters are subcritical, we see random perturbation of the underling graphs but when the construction is based on critical percolation new type of spaces emerges. More precise definitions appears below. We end with an invariant percolation viewpoint on the incipient infinite cluster (IIC).作者: Priapism 時間: 2025-3-22 06:43 作者: grudging 時間: 2025-3-22 09:41 作者: 剛毅 時間: 2025-3-22 16:05
Book 2013of graphs, long range percolation, CCCP graphs obtained by contracting percolation clusters on graphs, and stationary random graphs, including the uniform infinite planar triangulation (UIPT) and the stochastic hyperbolic planar quadrangulation (SHIQ)..作者: 剛毅 時間: 2025-3-22 20:00 作者: BOOST 時間: 2025-3-23 00:51
Local Limits of Graphs,ous sections. If . = (., .) is such a graph, and ., . ∈ ., the graph distance between . and . in . is defined to be the length of a shortest path in . between . and ., and is denoted by ..(., .). A . graph (., .) is a graph . together with a distinguished vertex . of ..作者: d-limonene 時間: 2025-3-23 03:09
Uniqueness of the Infinite Percolation Cluster,wer to this question leads to a rather rich landscape with applications in group theory and many still open problems. In this section we study the question of the number of infinite clusters in percolation configurations in the regime . > ...作者: 禁令 時間: 2025-3-23 08:14
Percolation Perturbations,sters in the non uniqueness regime on the other hand admit some universal features which are not inherited from the underling graph, they have infinitely many ends and thus are very tree like. When performing the operation of contracting Bernoulli percolation clusters different geometric structures 作者: Tortuous 時間: 2025-3-23 13:29
https://doi.org/10.1007/978-3-319-02576-682B43,82B41,05C81,05C10,05C80; Coarse geometry; Graphs; Percolation; Random walk; Unimodular random graph作者: Lucubrate 時間: 2025-3-23 16:55 作者: condone 時間: 2025-3-23 18:28 作者: 對待 時間: 2025-3-23 23:03 作者: Nebulous 時間: 2025-3-24 02:37
The Emergence of the Multiplex in the USAIn this section we introduce and discuss some basic properties of percolation, a fundamental random process on graphs. For background on percolation see [Gri99].作者: calumniate 時間: 2025-3-24 09:46 作者: ambivalence 時間: 2025-3-24 13:18
https://doi.org/10.1007/978-3-658-18187-1In this section we review a joint work with Panos Papasoglu, see [.], in which the following is proved:作者: 為敵 時間: 2025-3-24 17:03 作者: Salivary-Gland 時間: 2025-3-24 19:40
Screenscapes of e-Religiosity in IndiaThis section is devoted to percolation on finite graphs. More precisely we will try to understand percolation on a sequence of finite graphs, whose number of vertices tends to infinity. Detailed proofs of the material appearing in this section and additional extensions can be found at [ABS04].作者: fluffy 時間: 2025-3-25 01:34 作者: 多產(chǎn)子 時間: 2025-3-25 03:40
Elisabeth Lewis Corley,Joseph MegelIn this section we present an example of a bounded degree graph with a positive Cheeger constant (i.e. nonamenable graph) which is Liouville, that is, it admits no non constant bounded harmonic functions. This example shows that the theorem proved in Sect. 12 cannot be extended to general graphs.作者: 里程碑 時間: 2025-3-25 11:27 作者: Spinal-Fusion 時間: 2025-3-25 13:49
On the Structure of Vertex Transitive Graphs,This short section contains several facts and open problems regarding vertex transitive graphs, starting with the following theorem from [BS92] which refines an earlier result of Aldous.作者: 專心 時間: 2025-3-25 19:37
Percolation on Graphs,In this section we introduce and discuss some basic properties of percolation, a fundamental random process on graphs. For background on percolation see [Gri99].作者: 紳士 時間: 2025-3-25 20:31
Random Planar Geometry,What is a typical random surface? This question has arisen in the theory of two-dimensional quantum gravity where discrete triangulations have been considered as a discretization of a random continuum Riemann surface. As we will see the typical random surface has a geometry which is very different from the one of the Euclidean plane.作者: heckle 時間: 2025-3-26 03:11
Growth and Isoperimetric Profile of Planar Graphs,In this section we review a joint work with Panos Papasoglu, see [.], in which the following is proved:作者: 點燃 時間: 2025-3-26 07:40
Critical Percolation on Non-Amenable Groups,For a given graph ., let . (or just .(.) when . is clear from the context). From the definition of .. we know that .(.) = 0 for any . < .., and .(.) > 0 whenever . > ... A major and natural question that arises is: Does .(..)= 0 or .(..) > 0?.作者: 向外 時間: 2025-3-26 12:02
Percolation on Expanders,This section is devoted to percolation on finite graphs. More precisely we will try to understand percolation on a sequence of finite graphs, whose number of vertices tends to infinity. Detailed proofs of the material appearing in this section and additional extensions can be found at [ABS04].作者: Ancestor 時間: 2025-3-26 12:42
Harmonic Functions on Graphs,The main goal of this section is to present the Kaimanovich-Vershik entropic criterion for the existence of harmonic function on Cayley graphs. Note that this section requires more background in probability compared to previous sections. We begin with some definition and simple facts.作者: 禁令 時間: 2025-3-26 18:11 作者: 臨時抱佛腳 時間: 2025-3-27 00:11
The Hyperbolic Plane and Hyperbolic Graphs,] and [ABC+91]. We first discuss the hyperbolic plane. Nets in the hyperbolic plane are concrete examples of the more general hyperbolic graphs. Hyperbolicity is reflected in the behaviour of random walks [Anc88] and percolation as we will see in Chap. 7.作者: Glucose 時間: 2025-3-27 01:46
Local Limits of Graphs,ous sections. If . = (., .) is such a graph, and ., . ∈ ., the graph distance between . and . in . is defined to be the length of a shortest path in . between . and ., and is denoted by ..(., .). A . graph (., .) is a graph . together with a distinguished vertex . of ..作者: Fretful 時間: 2025-3-27 07:27
Uniqueness of the Infinite Percolation Cluster,wer to this question leads to a rather rich landscape with applications in group theory and many still open problems. In this section we study the question of the number of infinite clusters in percolation configurations in the regime . > ...作者: 豐滿中國 時間: 2025-3-27 11:26 作者: 遠足 時間: 2025-3-27 15:38 作者: Free-Radical 時間: 2025-3-27 20:59
Coarse Geometry and Randomness978-3-319-02576-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 作者: implore 時間: 2025-3-28 01:34 作者: Intend 時間: 2025-3-28 04:04 作者: Generosity 時間: 2025-3-28 08:47 作者: daredevil 時間: 2025-3-28 12:43 作者: 咯咯笑 時間: 2025-3-28 17:48 作者: 只有 時間: 2025-3-28 20:10
,Virtuelle Realit?t im Internet,wer to this question leads to a rather rich landscape with applications in group theory and many still open problems. In this section we study the question of the number of infinite clusters in percolation configurations in the regime . > ...作者: VEST 時間: 2025-3-29 00:46
Spaces of Screenscapes in India,sters in the non uniqueness regime on the other hand admit some universal features which are not inherited from the underling graph, they have infinitely many ends and thus are very tree like. When performing the operation of contracting Bernoulli percolation clusters different geometric structures 作者: Pantry 時間: 2025-3-29 06:31
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