£110.00

This is the most expensive it has ever been. Walk away.

£110 today · previous high £110 · all-time low £89

Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

Amazon

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 62 days · 62 data points (no recent data)

Historical
Generating forecast…
£110.00 £86.71 £91.79 £96.87 £101.96 £107.04 £112.12 25 July 2026 09 August 2026 24 August 2026 08 September 2026 24 September 2026
View at Amazon ↗

Price data last checked 29 day(s) ago - will refresh soon

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↑ Price chart
when this has been cheap or pricey
↑ Forecast
where the price is heading next
↓ Statistics
all-time high & low, recent range
↑ Price alert
name your number, we'll email you

Price Distribution

Price distribution over 62 days • 2 price levels

Days at Price
Current Price
51 days 11 days · current 0 13 26 38 51 £89 £110 Days at Price

Price Analysis

Most common price: £89 (51 days, 82.3%)

Price range: £89 - £110

Price levels: 2 different prices over 62 days

Description

The purpose of this book is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line over an arbitrary complete, algebraically closed non-Archimedean field. In addition to providing a concrete and 'elementary' introduction to Berkovich analytic spaces and to potential theory and rational iteration on the Berkovich line, the book contains applications to arithmetic geometry and arithmetic dynamics. A number of results in the book are new, and most have not previously appeared in book form. Three appendices - on analysis, R-trees, and Berkovich's general theory of analytic spaces - are included to make the book as self-contained as possible. The authors first give a detailed description of the topological structure of the Berkovich projective line and then introduce the Hsia kernel, the fundamental kernel for potential theory. Using the theory of metrized graphs, they define a Laplacian operator on the Berkovich line and construct theories of capacities, harmonic and subharmonic functions, and Green's functions, all of which are strikingly similar to their classical complex counterparts. After developing a theory of multiplicities for rational functions, they give applications to non-Archimedean dynamics, including local and global equidistribution theorems, fixed point theorems, and Berkovich space analogues of many fundamental results from the classical Fatou-Julia theory of rational iteration. They illustrate the theory with concrete examples and exposit Rivera-Letelier's results concerning rational dynamics over the field of p-adic complex numbers. They also establish Berkovich space versions of arithmetic results such as the Fekete-Szego theorem and Bilu's equidistribution theorem.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
15 March 2010
Listed Since
30 November 2009

Barcode

No barcode data available

Similar Products You Might Like

Advances in Ultrametric Analysis (Contemporary Mathematics)
97% match

Advances in Ultrametric Analysis (Contemporary Mathematics)

£112.00 23 Sep 2026
Classical and Modern Potential Theory and Applications: 430 (Nato Science Series C:, 430)
96% match

Classical and Modern Potential Theory and Applications: 430 (Nato Science Series C:, 430)

Springer

£160.47 03 Sep 2026
Classical and Modern Potential Theory and Applications: 430 (Nato Science Series C:, 430)
96% match

Classical and Modern Potential Theory and Applications: 430 (Nato Science Series C:, 430)

Springer

£148.64 02 Sep 2026
Complex Analysis and Potential Theory (Crm Proceedings & Lecture Notes)
96% match

Complex Analysis and Potential Theory (Crm Proceedings & Lecture Notes)

£96.50 13 Aug 2026
Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)
96% match

Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

£84.50 23 Sep 2026
Analytic Partial Differential Equations: 359 (Grundlehren der mathematischen Wissenschaften, 359)
96% match

Analytic Partial Differential Equations: 359 (Grundlehren der mathematischen Wissenschaften, 359)

Springer

£134.00 14 Aug 2026
Complex Analysis and Dynamical Systems VI: Part 2: Complex Analysis, Quasiconformal Mappings, Complex Dynamics: 6 (Contemporary Mathematics)
96% match

Complex Analysis and Dynamical Systems VI: Part 2: Complex Analysis, Quasiconformal Mappings, Complex Dynamics: 6 (Contemporary Mathematics)

£110.00 24 Sep 2026
Period Functions for Maass Wave Forms and Cohomology (Memoirs of the American Mathematical Society)
96% match

Period Functions for Maass Wave Forms and Cohomology (Memoirs of the American Mathematical Society)

American Mathematical Society

£79.95 12 Sep 2026
Birkhauser Holomorphic Operator Functions - Mathematics Book
96% match

Birkhauser Holomorphic Operator Functions - Mathematics Book

Birkhauser

£108.82 24 Aug 2026
Dynamics in One Complex Variable: Third Edition: 160 (Annals of Mathematics Studies, 160)
96% match

Dynamics in One Complex Variable: Third Edition: 160 (Annals of Mathematics Studies, 160)

Princeton University Press

£61.24 19 Aug 2026
Cambridge Operator Analysis: Hilbert Space Methods Book
96% match

Cambridge Operator Analysis: Hilbert Space Methods Book

Cambridge University Press

£97.00 02 Oct 2026
Complex Analysis and Geometry (University Series in Mathematics)
96% match

Complex Analysis and Geometry (University Series in Mathematics)

Springer

£108.01 28 Aug 2026
A Course in Complex Analysis and Riemann Surfaces (Graduate Studies in Mathematics)
96% match

A Course in Complex Analysis and Riemann Surfaces (Graduate Studies in Mathematics)

Amer Mathematical Society

£93.79 19 Aug 2026
More Explorations in Complex Functions: 298 (Graduate Texts in Mathematics, 298)
96% match

More Explorations in Complex Functions: 298 (Graduate Texts in Mathematics, 298)

Springer

£59.58 13 Aug 2026
Topics in Complex Analysis (Universitext)
96% match

Topics in Complex Analysis (Universitext)

Springer

£37.72 23 Sep 2026
Wiley Introductory Functional Analysis with Applications Book
96% match

Wiley Introductory Functional Analysis with Applications Book

Wiley

£105.02 22 Oct 2026
50 Years with Hardy Spaces: A Tribute to Victor Havin: 261 (Operator Theory: Advances and Applications, 261)
96% match

50 Years with Hardy Spaces: A Tribute to Victor Havin: 261 (Operator Theory: Advances and Applications, 261)

Birkhauser

£76.42 14 Oct 2026
J-holomorphic Curves and Symplectic Topology - 2nd Edition
96% match

J-holomorphic Curves and Symplectic Topology - 2nd Edition

£110.00 18 Aug 2026
New Trends in Approximation Theory: In Memory of André Boivin: 81 (Fields Institute Communications, 81)
96% match

New Trends in Approximation Theory: In Memory of André Boivin: 81 (Fields Institute Communications, 81)

Springer

£65.37 15 Oct 2026
Introduction to Complex Analytic Geometry
96% match

Introduction to Complex Analytic Geometry

Birkhauser

£100.51 18 Sep 2026
The Cauchy Method of Residues: Theory and Applications: 9 (Mathematics and its Applications, 9)
96% match

The Cauchy Method of Residues: Theory and Applications: 9 (Mathematics and its Applications, 9)

Springer

£83.07 17 Sep 2026
Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers: 28 (Algorithms and Computation in Mathematics, 28)
96% match

Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers: 28 (Algorithms and Computation in Mathematics, 28)

Springer

£82.45 11 Sep 2026
Complex Analytic Sets: 46 (Mathematics and its Applications, 46)
96% match

Complex Analytic Sets: 46 (Mathematics and its Applications, 46)

Springer

£116.47 25 Sep 2026
Holomorphic Functions and Integral Representations in Several Complex Variables: 108 (Graduate Texts in Mathematics, 108)
96% match

Holomorphic Functions and Integral Representations in Several Complex Variables: 108 (Graduate Texts in Mathematics, 108)

Springer

£72.88 02 Sep 2026