In addition to my research into vortex particle methods, parallel N-body methods, and GPU programming, I create artwork using these same computer programs. The work consists of imagery and animations of fluid forms and other shapes and patterns in nature. Using relatively simple algorithms reflecting the origins of their underlying processes, ma...
Creator:
Stock, Mark J. (Applied Scientific Research)
Created:
2011-01-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The M-ellipsoid of a convex body K is a fundamental object introduced by V. Milman. It has the same volume as K and can cover K with the union a small number of translations. There are several proofs of the existence of an M-ellipsoid. We present algorithms for constructing M-ellipsoids based on two of these proofs. The first is randomized and i...
Creator:
Vempala, Santosh (Georgia Institute of Technology)
Created:
2011-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We discuss a number of open questions and results concerning(from a combinatorialist's point of view) higher-dimensional analogues of graph planarity and crossing numbers, i.e., embeddings of finite simplicial complexes (compact polyhedra) into Euclidean space.While embeddings are a classical topic in geometric topology, herewe focus rather on a...
Creator:
Wagner, Ulrich (IST Austria)
Created:
2014-04-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Recently, algebraic methods have been developed to unify and advance a variety of techniques of statistical analysis, providing new and improved tools for computational biology. Professor Sturmfels, one of the founders of the new field of algebraic statistics, will introduce the subject and describe its emerging applications to genome science an...
Creator:
Sturmfels, Bernd (University of California, Berkeley)
Created:
2007-10-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Abstract: An area of interest in statistical mechanics is the study ofstatistical distributions of stochastic currents generated in graphs.It turns out that this problem amounts to the study of periodic familiesof Markov processes that evolve according to the 'master equation.' Physicists have observed that, for almost every generated current, q...
Creator:
Klein, John R. (Wayne State University)
Created:
2013-10-31
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The past decade has seen considerable interest in the reformulation of statistical models and methods for the analysis of contingency tables using the language and results of algebraic and polyhedral geometry. But as algebraic statistics has developed, new ideas have emerged that have changed how we view a number of statistical problems. This ta...
Creator:
Fienberg, Stephen E. (Carnegie Mellon University)
Created:
2007-03-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Differential algebra provides an algebraic viewpoint on nonlinear differential systems.The motivating questions for this talk are:How do we define the general solution of a nonlinear equations What are the conditions for a differential system to have a solutionHow do we measure the 'degrees of freedom' for the solution set of adifferential syste...
Creator:
Hubert, Evelyne (Institut National de Recherche en Informatique Automatique (INRIA))
Created:
2006-10-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.