Discrete period matrices and related topics (original) (raw)

Discrete Riemann Surfaces

Christian Mercat

2008

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Discrete Riemann surfaces: Linear discretization and its convergence

Mikhail Skopenkov

Journal für die reine und angewandte Mathematik (Crelles Journal), 2014

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Riemann Surfaces, Plane Algebraic Curves and Their Period Matrices

Barry Trager

Journal of Symbolic Computation, 1998

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Periodicity on discrete dynamical systems generated by a class of rational mappings

eduardo liz

Journal of Difference Equations and Applications, 2006

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Discrete Riemann surfaces, linear and non-linear

Christian Mercat

2008

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Discrete Riemann Surfaces and the Ising Model

Christian Mercat

Communications in Mathematical Physics, 2001

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Period Matrices of Polyhedral Surfaces

Christian Mercat

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The period matrix of Bring’s curve

Rubí Rodríguez

Pacific Journal of Mathematics, 1992

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Discrete Groups and Riemann Surfaces

Anthony Weaver

Contemporary Mathematics, 2015

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Discrete holomorphic geometry I. Darboux transformations and spectral curves

Franz Pedit

Journal für die reine und angewandte Mathematik (Crelles Journal), 2000

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Almost periodic Verblunsky coefficients and reproducing kernels on Riemann surfaces

Peter Yuditskii

Journal of Approximation Theory, 2006

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Periodic Points and Surfaces Given by Trace Maps

Kevin Gregory Johnston

2016

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Conformal Structures and Period Matrices of Polyhedral Surfaces

Christian Mercat

CiteSeer X (The Pennsylvania State University), 2007

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On Hyperplane Sections of Periodic Surfaces

Anton Zorich

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Period matrices of Accola Maclachlan and Kulkarni surfaces

Antonio Costa

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The Riemann surface in the target space and vice versa

E. Rabinovici

Physics Letters B, 1989

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Periodicities in linear fractional recurrences: Degree growth of birational surface maps

Eric Bedford

The Michigan Mathematical Journal, 2006

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Periods of continuous mapson closed surfaces

J. Llibre

Rocky Mountain Journal of Mathematics, 2017

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Analytic computation of some automorphism groups of Riemann surfaces

Jim Wolper

Kodai Mathematical Journal, 2007

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Discrete spectrum for complex perturbations of periodic Jacobi matrices

Leonid Golinskii

Journal of Difference Equations and Applications, 2005

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Distribution of periodic points of polynomial diffeomorphisms of C2

Eric Bedford

Inventiones Mathematicae, 1993

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Diagonalization of nondiagonalizable discrete holomorphic dynamical systems

Marco Abate

American Journal of Mathematics, 2000

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The numbers of periodic orbits of holomorphic mappings hidden at fixed points

Guang Yuan Zhang

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Global periodicity and complete integrability of discrete dynamical systems

Ana Maria Cima Mollet

Journal of Difference Equations and Applications, 2006

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Two Kinds of Theta Constants and Period Relations on a Riemann Surface

Hershel Farkas

Proceedings of the National Academy of Sciences, 1969

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On the differential equations satisfied by period matrices

Nicholas Katz

Publications mathématiques de l'IHÉS, 1968

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Conformal actions with prescribed periods on Riemann surfaces

Waclaw Marzantowicz

Fundamenta Mathematicae, 2011

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The Hessenberg matrix and the Riemann mapping

Antonio Giraldo

2011

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Limit periodic Jacobi matrices with a singular continuous spectrum and the renormalization of periodic matrices

Alexander Volberg

2005

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Global periodicity conditions for maps and recurrences via normal forms

A. Cima

2013

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Fixed Point Indices and Invariant Periodic Sets of Holomorphic Systems

Guang Yuan Zhang

Proceedings of the American Mathematical Society

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Periodic quasimeromorphic mappings inR n

Olli Martio

Journal d'Analyse Mathématique, 1975

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On a transformation of Bohl and its discrete analogue

Evans Harrell

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Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique

Ian Wood

Studia Mathematica, 2018

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Almost periodic Jacobi matrices associated with Julia sets for polynomials

Michael Barnsley

Communications in Mathematical Physics, 1985

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