Author | Soardi, Paolo M. author |
---|---|

Title | Potential Theory on Infinite Networks [electronic resource] / by Paolo M. Soardi |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1994 |

Connect to | http://dx.doi.org/10.1007/BFb0073995 |

Descript | VIII, 196 p. online resource |

SUMMARY

The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries

CONTENT

Kirchhoff's laws -- Finite networks -- Currents and potentials withfinite energy -- Uniqueness and related topics -- Some examples and computations -- Royden's compactification -- Rough isometries

Mathematics
Potential theory (Mathematics)
Probabilities
Combinatorics
Mathematics
Probability Theory and Stochastic Processes
Combinatorics
Potential Theory