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相关论文: Horofunctions on Sierpi\'nski type triangles

200 篇论文

In this short note, we first associate a new simple undirected graph with a given word over an ordered alphabet of $n$-letters. We will call it the Lyndon graph of that word. Then, we introduce the concept of the Lyndon-word representable…

组合数学 · 数学 2022-05-30 Hossein Teimoori Faal

We investigate the structure of connected graphs, not necessarily locally finite, with infinitely many ends. On the one hand we study end-transitive such graphs and on the other hand we study such graphs with the property that the…

组合数学 · 数学 2010-03-19 Matthias Hamann

Functors with an instance of the Traversable type class can be thought of as data structures which permit a traversal of their elements. This has been made precise by the correspondence between traversable functors and finitary containers…

计算机科学中的逻辑 · 计算机科学 2022-07-21 Gershom Bazerman

Polytopes from subgraph statistics are important in applications and conjectures and theorems in extremal graph theory can be stated as properties of them. We have studied them with a view towards applications by inscribing large explicit…

组合数学 · 数学 2011-08-22 Alexander Engström , Patrik Norén

Relatively little is known about the discrete horospheres in hyperbolic groups, even in simple settings. In this paper we work with hyperbolic one-ended right-angled Coxeter groups and describe two graph structures that mimic the intrinsic…

A language L over a finite alphabet is growth-sensitive (or entropy sensitive) if forbidding any set of subwords F yields a sub-language L^F whose exponential growth rate (entropy) is smaller than that of L. Let (X, E, l) be an infinite,…

形式语言与自动机理论 · 计算机科学 2010-12-14 Wilfried Huss , Ecaterina Sava , Wolfgang Woess

We exhibit an analogy between the problem of pushing forward measurable sets under measure preserving maps and linear relaxations in combinatorialoptimization. We show how invariance of hyperfiniteness of graphings under local isomorphism…

组合数学 · 数学 2021-02-17 László Lovász

We investigate the topological phases of the Haldane model on the Sierpi\'nski gasket. As a consequence of the fractal geometry, multiple fractal gaps arise. Additionally, a flat band appears, and due to a complex next-nearest neighbour…

介观与纳米尺度物理 · 物理学 2025-02-04 Zebedeus Osseweijer , Lumen Eek , Anouar Moustaj , Mikael Fremling , Cristiane Morais Smith

We prove a strong dichotomy result for countably-infinite oriented graphs; that is, we prove that for all countably-infinite oriented graphs $G$, either (i) there is a countably-infinite tournament $K$ such that $G\not\subseteq K$, or (ii)…

组合数学 · 数学 2024-05-02 Alistair Benford , Louis DeBiasio , Paul Larson

We introduce two classes of morphisms over the alphabet $A=\{0,1\}$ whose fixed points contain infinitely many antipalindromic factors. An antipalindrome is a finite word invariant under the action of the antimorphism…

组合数学 · 数学 2019-06-17 Petr Ambrož , Zuzana Masáková , Edita Pelantová

Topological entropy is a widely studied indicator of chaos in topological dynamics. Here we give a generalized definition of topological entropy which may be applied to set-valued functions. We demonstrate that some of the well-known…

动力系统 · 数学 2015-09-29 James Kelly , Tim Tennant

We introduce a notion of ``hereditarily antisymmetric'' operator algebras and prove a structure theorem for them in finite dimensions. We also characterize those operator algebras in finite dimensions which can be made upper triangular and…

算子代数 · 数学 2021-07-01 Nik Weaver

We associate to triangulations of infinite type surface a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulations can be related by a sequence of flips. A consequence of…

几何拓扑 · 数学 2020-11-05 Ariadna Fossas , Hugo Parlier

We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theorems included concern colorings of graphs and bounded graphs,…

逻辑 · 数学 2008-02-03 William Gasarch , Jeffry Hirst

Large graphs are sometimes studied through their degree sequences (power law or regular graphs). We study graphs that are uniformly chosen with a given degree sequence. Under mild conditions, it is shown that sequences of such graphs have…

概率论 · 数学 2011-08-31 Sourav Chatterjee , Persi Diaconis , Allan Sly

We define a notion of (one-sided) shift spaces over infinite alphabets. Unlike many previous approaches to shift spaces over countable alphabets, our shift spaces are compact Hausdorff spaces. We examine shift morphisms between these shift…

算子代数 · 数学 2013-07-03 William Ott , Mark Tomforde , Paulette Willis

Two linear recurrences exhibit mirror symmetry connecting the constants $e$ and $\pi$. When parametrized, their asymptotic connection constants extend to meromorphic functions satisfying additive functional equations with rational…

数论 · 数学 2026-01-09 Benoit Cloitre

We find generating functions the number of strings (words) containing a specified number of occurrences of certain types of order-isomorphic classes of substrings called subword patterns. In particular, we find generating functions for the…

组合数学 · 数学 2007-05-23 A. Burstein , T. Mansour

In this paper, we define a stochastic Sierpinski gasket, on the basis of which we construct a network called random Sierpinski network (RSN). We investigate analytically or numerically the statistical characteristics of RSN. The obtained…

统计力学 · 物理学 2008-09-10 Zhongzhi Zhang , Shuigeng Zhou , Zhan Su , Tao Zou , Jihong Guan

We study semantic models of probabilistic programming languages over graphs, and establish a connection to graphons from graph theory and combinatorics. We show that every well-behaved equational theory for our graph probabilistic…