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A team of U.S. National Science Foundation-funded scientists has identified at least 11 species of fish suspected to have land-walking abilities.The findings are based on CT scans and a new evolu...
A theory that uses the mathematics of a drunken walk describes ecological invasions better than waves, according to Tim Reluga, associate professor of mathematics and biology, Penn State.The ability t...
The study of random walk in random evolving environment has attracted much attention lately. The basic idea is that, due to the time mixing properties of the environment, the CLT should hold in any ...
We consider excited random walk on a strip. We assume that the cookies are positive and that the total expected drift per site is less than 1/L where L is the width of the strip. We prove a quenched...
The method is to nd the asymptotic behavior of the ergodic sums of L1 functions for linear ows on the in nite staircase surface. Our methods also provide a new proof of J. Beck's central limit th...
A newly published analysis of the bones of Bunostegos akokanensis, a 260-million-year-old pre-reptile, finds that it likely stood upright on all fours like a cow or a hippo, making it the earliest kno...
We study the rate of convergence of symmetric random walks on finite groups to the uniform distribution. A notion of moderate growth is introduced that combines with eigenvalue techniques to give sh...
In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a designated source ver...
The range of a rotor walk     range  rotor walk       2015/8/14
In a rotor walk the exits from each vertex follow a prescribed periodic sequence. On an infinite Eulerian graph embedded periodically in Rd, we show that any simple rotor walk, regardless of rotor mec...
Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions。
Diaconis, P. and R. Graham, An affine walk on the hypercube, Journal of Computational and Applied Mathematics 41 (1992) 215-235. Let Z$ be the group of binary d-tuples. We study the process X,, = AX...
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS.
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients。
A SUPER-CLASS WALK ON UPPER-TRIANGULAR MATRICES。
CORVALLIS, Ore. – Humans and some of our hominid ancestors such as Homo erectus have been walking for more than a million years, and researchers are close to figuring out how we do it.

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