DOI10.1007/BFb0084525zbMath0679.14012OpenAlexW1560501720MaRDI QIDQ1187654
Robert S. Rumely
Publication date: 17 September 1992
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0084525
Families of metrized graphs with small tau constants,
Brolin's equidistribution theorem in \(p\)-adic dynamics.,
Equidistribution of small points, rational dynamics, and potential theory,
The degenerate scales of BIEs for conduction in piecewise homogeneous domains,
Chebyshev constants, linear algebra and computation on algebraic curves,
Artin-Whaples approximations of bounded degree in algebraic varieties,
Strategies using boundary integral equations for solving exterior anisotropic conduction problems outside long cylinders,
Degenerate scale for 2D Laplace equation with Robin boundary condition,
Analytical derivation and numerical experiment of degenerate scale by using the degenerate kernel of the bipolar coordinates,
Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary,
Finite morphisms to projective space and capacity theory,
Asymptotic evaluation of a lattice sum associated with the Laplacian matrix,
Groupes de Picard et problèmes de Skolem. I,
Recent results in the theory of constant reductions,
Distance functions on varieties over non-archimedian local fields,
Linkage of logarithmic capacity in potential theory and degenerate scale in the BEM for two tangent discs,
A nonarchimedean Ax-Lindemann theorem,
Capacity theory and arithmetic intersection theory,
Computation of logarithmic capacity,
Cryptographic Applications of Capacity Theory: On the Optimality of Coppersmith’s Method for Univariate Polynomials,
Preperiodic points with local rationality conditions in the quadratic unicritical family,
Log-Coulomb gases in the projective line of a \(p\)-field,
Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics,
A nondensity property of preperiodic points on Chebyshev dynamical systems,
Zhang's conjecture and the effective Bogomolov conjecture over function fields,
The tau constant and the discrete Laplacian matrix of a metrized graph,
Closed formula for the capacity of several aligned segments,
On the heights of totally \(p\)-adic numbers,
Finite Unions of Intervals, Part I,
Revisit of the degenerate scale for an infinite plane problem containing two circular holes using conformal mapping,
On the Degenerate Scale of an Infinite Plane Containing Two Unequal Circles,
A note on badly approximabe sets in projective space,
Height bounds for algebraic numbers satisfying splitting conditions,
Rumely’s local global principle for algebraic 𝑃𝒮𝒞 fields over rings,
Geometric families of constant reductions and the Skolem property,
Positivity properties of metrics and delta-forms,
Variational formulation and upper bounds for degenerate scales in plane elasticity,
Analytic Curves in Algebraic Varieties over Number Fields,
APPROXIMATING GREEN'S FUNCTIONS ON ℙ1 POSITIVE CHARACTERISTIC,
Revisit of a degenerate scale: a semi-circular disc,
Around the Fekete-Szegő theorem,
Unnamed Item,
A Robin formula for the Fekete-Leja transfinite diameter,
On the distribution of points in projective space of bounded height,
On the slopes of the lattice of sections of hermitian line bundles,
THE THEOREM OF JENTZSCH–SZEGŐ ON AN ANALYTIC CURVE: APPLICATION TO THE IRREDUCIBILITY OF TRUNCATIONS OF POWER SERIES,
Quantitative height bounds under splitting conditions,
Unnamed Item,
Rumely's local global principle for weakly P\(\mathcal S\)C fields over holomorphy domains,
Unnamed Item,
Capacity of a union of three intervals and theta functions of genus 2,
On the relation between Cantor's capacity and the sectional capacity,
Arithmetic capacities on \(\mathbb{P}^ N\),
Study on the double-degeneracy mechanism of BEM/BIEM for a plane elasticity problem with line segments,
Potential theory and Lefschetz theorems for arithmetic surfaces
