Mathematical Sciences; 18th Summer Symposium in Real Analysis

泰勒9402126 该奖项为第十八届夏季真实的分析研讨会提供了部分支持。 这些定期会议吸引了一个国际名册的参与者作出重要的研究贡献，在这一核心领域的数学科学。 时间表的安排是为了提供最大的机会，就目前的研究活动进行真正的互动。 五个全体讲座最近发现的分形，豪斯多夫和包装措施的自仿射地毯，措施性质的树状结构，多重分形和几何性质的总和缺项级数预定。 计划在这些会谈中穿插进行数量均衡的较短会谈。 该奖项的资金用于支持年轻的调查人员，特别是那些来自代表性不足的群体的调查人员。 弗吉尼亚大学将提供慷慨的费用分摊。 真实的分析构成了数学科学中许多研究的基础。 这一特殊的研究提供了一个特别有价值的基础领域的重要应用，可以预期，如微分方程，迭代函数系统和分形现象。 ***

Taylor 9402126 This award provides partial support for the Eighteenth Summer Symposium in Real Analysis. These regular meetings have attracted an international roster of participants making vital research contributions in this core area of the mathematical sciences. The schedule is arranged to provide maximum opportunities for genuine interaction on current research activity. Five plenary lectures on recent discoveries on fractals, Hausdorff and packing measure for self-affine carpets, measure properties of tree-like constructions, multifractals and geometric properties of sums of lacunary series are scheduled. Interspersed among these are planned a balanced number of shorter talks. Funds from this award are directed to support of younger investigators, especially those who come from underrepresented groups. Generous cost-sharing will be provided by the University of Virginia. Real analysis forms the underpinning for many studies in the mathematical sciences. This particular research provides a particularly valuable foundation in areas where important applications can be expected, such as differential equations, iterated function systems and fractal phenomena. ***