New Probes into Discrete and Convex Geometry
Buch in deiner Nähe kaufen
Beschreibung
This volume grew out of the Fall 2023 special semester Discrete Geometry and Convexity at the Erdős Center of the Alfréd Rényi Institute in Budapest, where leading experts and outstanding young researchers gathered for an intensive program of mini-courses, workshops, and conferences. New Probes into Discrete and Convex Geometry brings together 17 invited survey articles that map the current landscape of the field and highlight some of its most dynamic frontiers. The chapters range from convexity and packing problems to combinatorial and piecewise-linear topology, from Helly-Tverberg theory and its topological methods to questions motivated by computer science, data analysis, and geometric optimization. Along the way, readers will find both polished expositions of major tools and guided tours of active research areas, rich with open problems and new perspectives. Written by world-class researchers, these surveys offer an accessible entry point for graduate students and newcomers, while providing specialists with a concise reference to recent advances.
This volume grew out of the Fall 2023 special semester Discrete Geometry and Convexity at the Erdős Center of the Alfréd Rényi Institute in Budapest, where leading experts and outstanding young researchers gathered for an intensive program of mini-courses, workshops, and conferences. New Probes into Discrete and Convex Geometry brings together 17 invited survey articles that map the current landscape of the field and highlight some of its most dynamic frontiers. The chapters range from convexity and packing problems to combinatorial and piecewise-linear topology, from Helly-Tverberg theory and its topological methods to questions motivated by computer science, data analysis, and geometric optimization. Along the way, readers will find both polished expositions of major tools and guided tours of active research areas, rich with open problems and new perspectives. Written by world-class researchers, these surveys offer an accessible entry point for graduate students and newcomers, while providing specialists with a concise reference to recent advances.
Includes 17 up-to-date surveys on hot topics in discrete geometry and convexity Illustrates the interplay between combinatorial, geometric, and topological methods Written by world-class researchers
Autor*in
János Pach
Themen in »New Probes into Discrete and Convex Geometry«
Piecewise linear topology Totally separable packing Reverse isoperimetric inequality Topological data analysis Graph embedding Helly and Tverberg-type theorems Monostable polyhedra Fixed point theorems Floating body Extremal graph theory Polychromatic coloring