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Critical point of jamming transition in two-dimensional monodisperse systems
Abstract.The existence of amorphous packings in two-dimensional monodisperse system is a classical unsolved problem. We get the energy minimum state...
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In the Tradition of Thurston Geometry and Topology
This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by...
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Calibration of Railway Ballast Modeling Using Level Set Discrete Element Method
This work presents the utilization of the level set discrete element method (LS-DEM) in modeling the behaviors of variously shaped granite ballast...
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Employing computational fluid dynamics technique for analyzing the PACK-1300XY with methanol and isopropanol mixture
In this study, an innovative wire gauze structured packing, namely PACK-1300XY with a specific surface area of 1300 m 2 /m 3 has been characterized by...
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Integrability and geometry of the Wynn recurrence
We show that the Wynn recurrence (the missing identity of Frobenius of the Padé approximation theory) can be incorporated into the theory of...
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A Circle Pattern Algorithm via Combinatorial Ricci Flows
A circle pattern is a configuration of circles with a prescribed combinatoric and prescribed intersection angles. Based on the idea of combinatorial...
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On tackling reverse convex constraints for non-overlap** of unequal circles
We study the unequal circle-circle non-overlap** constraints, a form of reverse convex constraints that often arise in optimization models for...
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Irregular Packing on the Sphere
In Chapter 5 we have seen several extremal problems concerning families of points on the sphere whose solutions, with a n appropriate number of...
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Creating Constellation Patterns I: Composition
Constellation patterns are a family of Islamic geometric patterns that combine different stars in a tightly interconnected matrix with few subsidiary...
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Course 4: Granular Media: Some Ideas from Statistical Physics
These lecture notes cover the statics and glassy dynamics of granular media. Most of the lectures were in fact devoted to “force propagation” models....
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Identification and analysis of 3D pores in packed particulate materials
We took the classic ‘guess the number of beans in a jar game’ and amplified the research question. Rather than estimate the quantity of particles in...
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Packing Disks by Flip** and Flowing
We provide a new type of proof for the Koebe–Andreev–Thurston (KAT) planar circle packing theorem based on combinatorial edge-flips. In particular,...
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Model Development and Solver Demonstrations Using Randomized Test Problems
Scientific-technical computing (STC) systems have integrated capabilities to support optimization model development and solution, report generation,...
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Experimental investigation of gravitational instabilities at the particle suspension-fluid interface
Gravitational instabilities occurring at the interface between a suspension of granular particles and a clear fluid are studied experimentally using...
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Combinatorial Calabi flows on surfaces with boundary
Motivated by Luo’s (Commun Contemp Math 6:765–780, 2004) combinatorial Yamabe flow on closed surfaces and Guo’s (Commun Contemp Math 13:827–842,...
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Ranks and Sphere Packings
We discuss applications of Mordell–Weil lattices to the rank problem for elliptic curves over a given field and the sphere packing problem.
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Geometric and Aesthetic Concepts Based on Pentagonal Structures
The relationship between geometry and art will be examined using the example of pentagonal structures. The work of contemporary Dutch artist Gerard...
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List of Publications for Dennis P. Sullivan
[1] Triangulating Homotopy Equivalences. Ph.D. Thesis, Princeton University.
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Packing and Covering Properties of Sequences of Convex Bodies
The Scottish Book does not give a proof of the theorem. A proof was found later by Kosiński [64], who presented an explicit bound on f (a, b) .
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