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芯片烧成和代数组合

Chip-firing and algebraic combinatorics
课程网址: http://videolectures.net/FPSAC2019_klivans_algebraic_combinatoric...  
主讲教师: Caroline Klivans
开课单位: 布朗大学
开课时间: 2019-07-19
课程语种: 英语
中文简介:
芯片发射过程是离散的动力系统。根据简单的本地规则在网络的站点之间交换商品(芯片,沙子,美元)。尽管受局部规则支配,但系统的长期全局行为显示了意外的属性,包括复杂的分形样模式。早期结果将芯片发射与经典组合对象相关,例如生成树,停车功能和拟阵。近年来,切屑焙烧在新方向上已看到许多活动。例如,在切屑烧制和Coxeter组,二项式理想和Riemann表面之间建立了联系。在本次演讲中,我将对切屑发射理论及其与代数组合论的许多联系进行广泛的研究。
课程简介: Chip-firing processes are discrete dynamical systems. A commodity (chips, sand, dollars) is exchanged between sites of a network according to simple local rules. Although governed by local rules, the long-term global behavior of the system reveals unexpected properties, including intricate fractal-like patterns. Early results related chip-firing to classic combinatorial objects such as spanning trees, parking functions, and matroids. In recent years, chip-firing has seen much activity in new directions. Connections have been made, for example, between chip-firing and Coxeter groups, binomial ideals, and Riemann surfaces. In this talk, I will give a broad survey of the theory of chip-firing and its many ties to algebraic combinatorics.
关 键 词: 芯片发射; 代数组合论; 分形样模式
课程来源: 视频讲座网
数据采集: 2020-11-29:cjy
最后编审: 2020-11-29:cjy
阅读次数: 50