46 Publications (Page 2 of 2)
2012
Counting Zeros of Harmonic Rational Functions and Its Application to Gravitational LensingBleher, Pavel M⋅Bleher, Pavel M⋅Homma, Youkow⋅Homma, Youkow⋅Ji, Lyndon L⋅Ji, Lyndon L⋅Roeder, Roland K. W and Roeder, Roland K. W2012-06-11.
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Nearest Neighbor Distances on a Circle: Multidimensional CaseBleher, Pavel⋅Bleher, Pavel⋅Bleher, Pavel⋅Bleher, Pavel⋅Homma, Youkow⋅Homma, Youkow⋅Homma, Youkow⋅Homma, Youkow⋅Ji, Lyndon⋅Ji, Lyndon⋅Ji, Lyndon⋅Ji, Lyndon⋅Roeder, Roland⋅Roeder, Roland⋅Roeder, Roland⋅Roeder, Roland⋅Shen, Jeffrey⋅Shen, Jeffrey⋅Shen, Jeffrey and Shen, JeffreyJournal of Statistical Physics, vol. 146, (no. 2), pp. 465, 20120100.
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Superstable manifolds of invariant circles and co-dimension 1 Bottcher functionsKaschner, Scott R and Roeder, Roland K. W2012-08-14.
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2011
Lee-Yang-Fisher zeros for DHL and 2D rational dynamics, II. Global Pluripotential InterpretationBleher, Pavel⋅Bleher, Pavel⋅Lyubich, Mikhail⋅Lyubich, Mikhail⋅Roeder, Roland and Roeder, Roland2011-07-28.
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2010
A dichotomy for Fatou components of polynomial skew productsRoeder, Roland K. W2010-05-12.
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Lee-Yang zeros for DHL and 2D rational dynamics, I. Foliation of the physical cylinderBleher, Pavel⋅Bleher, Pavel⋅Lyubich, Mikhail⋅Lyubich, Mikhail⋅Roeder, Roland and Roeder, Roland2010-09-23.
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Topology of Fatou components for endomorphisms of CPk: linking with the Green's currentHruska, Suzanne Lynch and Roeder, Roland K. WFundamenta Mathematicae, vol. 210, (no. 1), pp. 98, 2010-00-00.
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Two-dimensional Blaschke Products: Degree Growth and Ergodic ConsequencesPujals, Enrique and Roeder, RolandIndiana University Mathematics Journal, vol. 59, (no. 1), pp. 325, 20100101.
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2008
Topology of Fatou components for endomorphisms of CP^k: Linking with the Green's CurrentHruska, Suzanne Lynch and Roeder, Roland K. W2008-10-09.
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Two-dimensional Blaschke Products: Degree growth and ergodic consequencesPujals, Enrique R and Roeder, Roland K. W2008-09-13.
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2007
A degenerate Newton’s map in two complex variables: Linking with currentsRoeder, RolandThe Journal of Geometric Analysis, vol. 17, (no. 1), pp. 146, 20070300.
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Andreev’s Theorem on hyperbolic polyhedraRoeder, Roland K.W⋅Hubbard, John H and Dunbar, William DAnnales de l’institut Fourier, vol. 57, (no. 3), pp. 882, 2007-00-00.
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Computing arithmetic invariants for hyperbolic reflection groupsAntolin-Camarena, Omar⋅Maloney, Gregory R and Roeder, Roland K. W2007-08-15.
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Constructing Hyperbolic Polyhedra Using Newton's MethodRoeder, Roland K. WExperimental Mathematics, vol. 16, (no. 4), pp. 492, 1/1/2007.
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2006
A degenerate Newton's Map in two complex variables: linking with currentsRoeder, Roland K. W2006-01-10.
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Andreev's Theorem on hyperbolic polyhedraRoeder, Roland K. W⋅Hubbard, John H and Dunbar, William D2006-01-07.
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COMPACT HYPERBOLIC TETRAHEDRA WITH NON-OBTUSE DIHEDRAL ANGLESRoeder, RolandPublicacions Matemàtiques, vol. 50, (no. 1), pp. 227, 20060101.
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Constructing hyperbolic polyhedra using Newton's MethodRoeder, Roland K. W2006-03-22.
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On Poincar\'e's Fourth and Fifth Examples of Limit Cycles at InfinityRoeder, Roland K. W2006-01-09.
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2005
Topology for the basins of attraction of Newton's method in two complex variables (Dissertation)Roeder, Roland (2005).
2003
ON POINCARÉ'S FOURTH AND FIFTH EXAMPLES OF LIMIT CYCLES AT INFINITYRoeder, RolandThe Rocky Mountain Journal of Mathematics, vol. 33, (no. 3), pp. 1082, 20031001.
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