46 Publications (Page 1 of 2)
2023
Symmetries of the Three-Gap Theorem. The American Mathematical Monthly
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2022
Level spacing statistics for the multi-dimensional quantum harmonic oscillator: Algebraic case
Journal of Mathematical Physics. | Journal Article
2020
Lee–Yang–Fisher Zeros for the DHL and 2D Rational Dynamics, II. Global Pluripotential InterpretationBleher, Pavel⋅Bleher, Pavel⋅Lyubich, Mikhail⋅Lyubich, Mikhail⋅Roeder, Roland and Roeder, RolandThe Journal of Geometric Analysis, vol. 30, (no. 1), pp. 833, 2020-01-00.
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Pulling back singularities of codimension one objectsGiraldo, Luis and Roeder, RolandProceedings of the American Mathematical Society, vol. 148, (no. 3), pp. 1217, March 1, 2020.
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q-plane zeros of the Potts partition function on diamond hierarchical graphs
Journal of Mathematical Physics. | Journal Article
2019
Chromatic Zeros On Hierarchical Lattices and Equidistribution on Parameter SpaceChio, Ivan⋅Chio, Ivan⋅Roeder, Roland and Roeder, Roland2019-04-03.
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Limiting Measure of Lee–Yang Zeros for the Cayley TreeChio, Ivan⋅Chio, Ivan⋅He, Caleb⋅He, Caleb⋅Ji, Anthony⋅Ji, Anthony⋅Roeder, Roland and Roeder, RolandCommunications in Mathematical Physics, vol. 370, (no. 3), pp. 957, 20190901.
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Problem on Mutant Pairs of Hyperbolic PolyhedraGyurek, Croix and Roeder, Roland2019-06-20.
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q$-Plane Zeros of the Potts Partition Function on Diamond Hierarchical GraphsChang, Shu-Chiuan⋅Roeder, Roland K. W and Shrock, Robert2019-11-10.
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2018
Limiting Measure of Lee--Yang Zeros for the Cayley TreeChio, Ivan⋅Chio, Ivan⋅He, Caleb⋅He, Caleb⋅Ji, Anthony L⋅Ji, Anthony L⋅Roeder, Roland K. W and Roeder, Roland K. W2018-06-01.
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2017
Complex perspective for the projective heat map acting on pentagonsKaschner, Scott and Roeder, RolandConformal Geometry and Dynamics of the American Mathematical Society, vol. 21, (no. 9), pp. 263, May 3, 2017.
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Lee–Yang zeros for the DHL and 2D rational dynamics, I. Foliation of the physical cylinderBleher, Pavel⋅Bleher, Pavel⋅Lyubich, Mikhail⋅Lyubich, Mikhail⋅Roeder, Roland and Roeder, RolandJournal de mathématiques pures et appliquées, vol. 107, (no. 5), pp. 590, May 2017.
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2016
Complex Perspective for the Projective Heat Map Acting on PentagonsKaschner, Scott R and Roeder, Roland K. W2016-08-31.
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Computing dynamical degrees of rational maps on moduli spaceKOCH, SARAH and Roeder, Roland K. WErgodic Theory and Dynamical Systems, vol. 36, (no. 8), pp. 2579, 2016-12-00.
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Examples of rational maps of $CP^2$ with equal dynamical degrees and no invariant foliationKaschner, Scott R⋅Pérez, Rodrigo A and Roeder, RolandBulletin de la Société mathématique de France, vol. 144, (no. 2), pp. 297, 2016-00-00.
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Two-Point Correlation Functions and Universality for the Zeros of Systems of SO(n+1)-invariant Gaussian Random PolynomialsBleher, Pavel⋅Bleher, Pavel⋅Homma, Yushi⋅Homma, Yushi⋅Roeder, Roland K. W and Roeder, Roland K. WInternational Mathematics Research Notices, vol. 2016, (no. 11), pp. 3278, 2016-00-00.
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Typical dynamics of plane rational maps with equal degreesRoeder, Roland K. W⋅Liu, Han and Diller, JeffreyJournal of Modern Dynamics, vol. 10, (no. 2), pp. 377, 2016-08-00.
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Superstable manifolds of invariant circles and codimension-one Böttcher functionsKASCHNER, SCOTT R and Roeder, Roland K. WErgodic Theory and Dynamical Systems, vol. 35, (no. 1), pp. 175, 2015-02-00.
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The action on cohomology by compositions of rational mapsRoeder, Roland K. WMathematical Research Letters, vol. 22, (no. 2), pp. 632, 2015-00-00.
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Two-Point Correlation Functions and Universality for the Zeros of Systems of SO(n+1)-invariant Gaussian Random PolynomialsBleher, Pavel M⋅Bleher, Pavel M⋅Homma, Yushi⋅Homma, Yushi⋅Roeder, Roland K. W and Roeder, Roland K. W2015-02-04.
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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. WInternational Mathematics Research Notices, vol. 2014, (no. 8), pp. 2264, 2014-00-00.
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2013
Examples of Rational Maps of CP^2 with Equal Dynamical Degrees and No Invariant FoliationKaschner, Scott R⋅Pérez, Rodrigo A and Roeder, Roland K. W2013-09-17.
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The action on cohomology by compositions of rational mapsRoeder, Roland K. W2013-06-10.
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