Jack Hanson

President Reagan used his speaking expertise to sell Supply-Side and Trickle-Down Economics plus his 1981 tax cuts and the Tax Reform Act of 1986. Presidents who followed Reagan followed his thinking on taxes to develop a Christmas tree full of prizes for special interests. In 2010, President George W. Bush continued the push for more tax cuts in the Reagan tradition. The extended debate leading up to congressional voting on the legislation was often rancorous. One memorable moment occurred when a legislative leader, on a national broadcast, gave us an under-estimated forewarning. He said a high end tax payer could use the tax benefit to purchase a Lexus; a low end tax payer could use the tax benefit to purchase a muffler. Backers of the Bush tax law argued that detractors were engaging in Class Warfare. The above circle graphs give us an easy means for evaluating the impact of income tax cuts. 1979: When the Bottom 80% of tax payers earned $1,000,000 the Top 1% earned $2,941,500. 2009: When the Bottom 80% of tax payers earned $1,000,000 the Top 1% earned $5,420,900. Write an analogy for the two circle graphs above.

Why Children Are Left Behind

Mats Persson

Dalarnas museum

arkitekt

Antonio Auffinger

Michael Damron

First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range of applications to other scientific areas (growth and infection in biology, optimization in computer science, disordered media in physics), as well as other areas of mathematics, including analysis and geometry. FPP was introduced in the 1960s as a random metric space. Although it is simple to define, and despite years of work by leading researchers, many of its central problems remain unsolved. In this book, the authors describe the main results of FPP, with two purposes in mind. First, they give self-contained proofs of seminal results obtained until the 1990s on limit shapes and geodesics. Second, they discuss recent perspectives and directions including (1) tools from metric geometry, (2) applications of concentration of measure, and (3) related growth and competition models. The authors also provide a collection of old and new open questions. This book is intended as a textbook for a graduate course or as a learning tool for researchers.

Jack Hanson

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