Critical lattices, elliptic curves and their possible dynamics (original) (raw)

ON A. V. MALYSHEV’S APPROACH TO MINKOWSKI’S CONJECTURE CONCERNING THE CRITICAL DETERMINANT OF THE REGION |x|p + |y|p 1 for p > 1

Nikolaj Glazunov

Чебышевский сборник, 2017

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A proof of Minkowski's conjecture on the critical determinant of the region ¦x¦p+¦y¦p<1

Nikolaj Glazunov

Journal of Mathematical Sciences, 1988

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On A.V. Malyshev's approach to Minkowski's conjecture concerning the critical determinant of the region ∣x∣p+∣y∣p1|x|^p + |y|^p 1xp+yp1

Nikolaj Glazunov

arXiv (Cornell University), 2016

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Dynamical systems arising from elliptic curves

Thomas ward

Colloquium Mathematicum, 2000

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A Dynamical Interpretation of the Global Canonical Height on an Elliptic Curve

Thomas ward

Experimental Mathematics, 1998

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Some applications of homogeneous dynamics to number theory

beks dani

2002

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Notes on number theory and dynamical systems

Stefano Isola

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Rational Points on Fermat's Surfaces in Minkowski's (N+1) -Dimensional Spaces and Extended Fermat's Last Theorem: Mathematical Framework and Computational Results

Ramon Carbó-Dorca

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Borcea's variance conjectures on the critical

Rajesh Pereira

2016

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A Case of the Dynamical Andre-Oort Conjecture

Khoa Nguyen

International Mathematics Research Notices, 2015

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Critical measures for vector energy: Global structure of trajectories of quadratic differentials

Andrei Martinez Finkelshtein

Advances in Mathematics, 2016

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The index of stable critical points

christian bonatti

Topology and its Applications, 2002

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Equidistribution of Small Points, Rational Dynamics, and Potential Theory

Matt Baker

Annales de l’institut Fourier, 2006

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On Lattice points and Optimal Packing of Minkowski's Balls and Domains

Nikolaj Glazunov

arXiv (Cornell University), 2023

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Distribution of periodic points of polynomial diffeomorphisms of C2

Eric Bedford

Inventiones Mathematicae, 1993

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On periodic motions of lattices of Toda type via critical point theory

P. Srikanth, Bernhard Ruf

Archive for Rational Mechanics and Analysis, 1994

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Critical Points of Real Polynomials and Topology of Real Algebraic T-Surfaces

Eugenii Shustin

Geometriae Dedicata

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On the critical pair theory in Z/pZ

O. Serra

Acta Arithmetica, 2006

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P-critical integral quadratic forms and positive unit forms: An algorithmic approach

Grzegorz Marczak

Linear Algebra and its Applications, 2010

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On the existence of finite critical trajectories in a family of quadratic differentials

Faouzi THABET

2015

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Computability of the Julia set. Nonrecurrent critical orbits

Artem Dudko

Discrete and Continuous Dynamical Systems, 2013

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Mandelbrot-like sets in dynamical systems with no critical points

Jason Gallas

Comptes Rendus Mathematique, 2006

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The dynamical André–Oort conjecture: Unicritical polynomials

Khoa Nguyen

Duke Mathematical Journal, 2016

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Matricial Proofs of Some Classical Results about Critical Point Location

Charles Johnson

The American Mathematical Monthly

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Open Problems and Conjectures

Elias Camouzis

Journal of Difference Equations and Applications, 2004

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On the number of critical periods for planar polynomial systems of arbitrary degree

A. Cima

Journal of Differential Equations, 2010

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Decay of geometry for Fibonacci critical covering maps of the circle

MARCIO LIMA DO NASCIMENTO

Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2009

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On the Jacobian Conjecture

Lihchung Wang

Taiwanese Journal of Mathematics

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Convex Curves and a Poisson Imitation Of lattices

sinai robins

Mathematika, 2014

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A note on the Jacobian Conjecture

Zbigniew Jelonek

Linear Algebra and its Applications, 2011

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Elliptic Gauss sums and applications to point counting

Preda Mihailescu

Journal of Symbolic Computation, 2010

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Latin squares: critical sets and their lower bounds

Jennifer Seberry

Ars Combinatoria Waterloo Then Winnipeg, 1995

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Invariant critical sets of conserved quantities

Dan Comanescu

Chaos, Solitons & Fractals, 2011

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Note on estimation of the number of the critical values at infinity

Mutsuo Oka

Kodai Mathematical Journal, 1994

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On Entropy and Monotonicity for Real Cubic Maps

Charles Tresser

Communications in Mathematical Physics, 2000

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