%0 Generic %1 doyle2006random %A Doyle, Peter G %A Snell, J Laurie %B Carus Monographs %D 2006 %I Mathematics Association of America %K electrical_networks random_walk resistance_distance review %T Random walks and electric networks %U http://arxiv.org/abs/math/0001057 %X Probability theory, like much of mathematics, is indebted to physics as a source of problems and intuition for solving these problems. Unfor- tunately, the level of abstraction of current mathematics often makes it difficult for anyone but an expert to appreciate this fact. In this work we will look at the interplay of physics and mathematics in terms of an example where the mathematics involved is at the college level. The example is the relation between elementary electric network theory and random walks.

@misc{doyle2006random, abstract = {Probability theory, like much of mathematics, is indebted to physics as a source of problems and intuition for solving these problems. Unfor- tunately, the level of abstraction of current mathematics often makes it difficult for anyone but an expert to appreciate this fact. In this work we will look at the interplay of physics and mathematics in terms of an example where the mathematics involved is at the college level. The example is the relation between elementary electric network theory and random walks.}, added-at = {2014-08-25T18:05:09.000+0200}, arxiv = {math/0001057}, author = {Doyle, Peter G and Snell, J Laurie}, biburl = {https://www.bibsonomy.org/bibtex/2537cbca94f9ea009ddc6f510a13b353a/peter.ralph}, description = {This work is derived from the book Random Walks and Electric Net- works, originally published in 1984 by the Mathematical Association of America in their Carus Monographs series. We are grateful to the MAA for permitting this work to be freely redistributed under the terms of the GNU Free Documentation License.}, interhash = {0630a37260ed3581f1bc05cb7f214111}, intrahash = {537cbca94f9ea009ddc6f510a13b353a}, keywords = {electrical_networks random_walk resistance_distance review}, publisher = {Mathematics Association of America}, series = {Carus Monographs}, timestamp = {2015-02-22T17:55:03.000+0100}, title = {Random walks and electric networks}, url = {http://arxiv.org/abs/math/0001057}, year = 2006 }