Add to ORKGThe main topic of this PhD thesis is the Arakelov ray class group of a number field, an algebraic object that contains both the ideal class group structure and the unit group structure. The main result consists of the fact that certain specific random walks on the Arakelov ray class group result in a target point that is uniformly distributed on this group, under the assumption of an extended version of the Riemann Hypothesis. Almost all other results of this work are consequences of this fact.Number theory, Algebra and Geometr
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1992.Includes bibliogr...
Of central interest in the study of random walks on finite groups are ergodic random walks. Ergodic ...
This thesis contains four papers, where the first two are in the area of geometry of numbers, the th...
The main topic of this PhD thesis is the Arakelov ray class group of a number field, an algebraic ob...
Fixing a number field, the space of all ideal lattices, up to isometry, is naturally an abelian grou...
Fixing a number field, the space of all ideal lattices, up to isometry, is naturally an Abelian grou...
Fixing a number field, the space of all ideal lattices, up to isometry, is naturally an Abelian grou...
The aim of the present paper is to add, in several ways, to our understanding of the Cohen-Lenstra-M...
This work is mainly concerned with discrete random walks on graphs and an interesting application of...
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing th...
International audienceFixing a number field, the space of all ideal lattices, up to isometry, is nat...
本篇論文主要介紹 Buchamnn 的演算法和 Arakelov 類群This thesis focuses not only on Buchmann’s algorithm for computin...
The main aim of the present paper is to disprove the Cohen-Lenstra-Martinet heuristics in two differ...
International audienceFixing a number field, the space of all ideal lattices, up to isometry, is nat...
43 pages, 3 figuresInternational audienceWe establish spectral theorems for random walks on mapping ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1992.Includes bibliogr...
Of central interest in the study of random walks on finite groups are ergodic random walks. Ergodic ...
This thesis contains four papers, where the first two are in the area of geometry of numbers, the th...
The main topic of this PhD thesis is the Arakelov ray class group of a number field, an algebraic ob...
Fixing a number field, the space of all ideal lattices, up to isometry, is naturally an abelian grou...
Fixing a number field, the space of all ideal lattices, up to isometry, is naturally an Abelian grou...
Fixing a number field, the space of all ideal lattices, up to isometry, is naturally an Abelian grou...
The aim of the present paper is to add, in several ways, to our understanding of the Cohen-Lenstra-M...
This work is mainly concerned with discrete random walks on graphs and an interesting application of...
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing th...
International audienceFixing a number field, the space of all ideal lattices, up to isometry, is nat...
本篇論文主要介紹 Buchamnn 的演算法和 Arakelov 類群This thesis focuses not only on Buchmann’s algorithm for computin...
The main aim of the present paper is to disprove the Cohen-Lenstra-Martinet heuristics in two differ...
International audienceFixing a number field, the space of all ideal lattices, up to isometry, is nat...
43 pages, 3 figuresInternational audienceWe establish spectral theorems for random walks on mapping ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1992.Includes bibliogr...
Of central interest in the study of random walks on finite groups are ergodic random walks. Ergodic ...
This thesis contains four papers, where the first two are in the area of geometry of numbers, the th...