Trevor Richards

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All published works

Action	Title	Year	Authors
+ PDF Chat	Some recent results on the geometry of complex polynomials: the Gauss–Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence	2021	Trevor Richards
+	Rouché’s theorem and the geometry of rational functions	2020	Trevor Richards
+	Some Recent Results on the Geometry of Complex Polynomials: The Gauss--Lucas Theorem, Polynomial Lemniscates, Shape Analysis, and Conformal Equivalence	2019	Trevor Richards
+	Rouch\'e's Theorem and the Geometry of Rational Functions	2019	Trevor Richards
+ PDF Chat	Leaky roots and stable Gauss-Lucas theorems	2019	Trevor Richards Stefan Steinerberger
+ PDF Chat	Computing Polynomial Conformal Models for Low-Degree Blaschke Products	2019	Trevor Richards Malik Younsi
+	Some Recent Results on the Geometry of Complex Polynomials: The Gauss--Lucas Theorem, Polynomial Lemniscates, Shape Analysis, and Conformal Equivalence	2019	Trevor Richards
+	Rouché's Theorem and the Geometry of Rational Functions	2019	Trevor Richards
+	Leaky Roots and Stable Gauss-Lucas Theorems	2018	Trevor Richards Stefan Steinerberger
+ PDF Chat	Characterizing Meromorphic Pseudo-lemniscates	2018	Trevor Richards
+	Computing polynomial conformal models for low-degree Blasckhke products	2018	Trevor Richards Malik Younsi
+	Luzin-type properties and the difference quotient of a real function	2018	Yu. Andreev Trevor Richards
+	Leaky Roots and Stable Gauss-Lucas Theorems	2018	Trevor Richards Stefan Steinerberger
+	Computing polynomial conformal models for low-degree Blaschke products	2018	Trevor Richards Malik Younsi
+	Recognizing difference quotients of real functions	2017	Trevor Richards Jimmy Yau
+	On approximate Gauss-Lucas theorems	2017	Trevor Richards
+	Convergence and path divergence sets for bounded analytic functions in the disk	2016	Trevor Richards
+	Boundary convergence and path divergence sets for bounded analytic functions in the disk	2016	Trevor Richards
+	Characterizing meromorphic pseudo-lemniscates	2016	Trevor Richards
+ PDF Chat	Conformal Models and Fingerprints of Pseudo-lemniscates	2016	Trevor Richards Malik Younsi
+ PDF Chat	Conformal Equivalence of Analytic Functions on Compact Sets	2016	Trevor Richards
+	On Scottish Book Problem 157	2016	Kevin Beanland Paul D. Humke Trevor Richards
+	Boundary convergence and path divergence sets for bounded analytic functions in the disk	2016	Trevor Richards
+	Characterizing meromorphic pseudo-lemniscates	2016	Trevor Richards
+	On Scottish Book Problem 157	2015	Kevin Beanland Paul D. Humke Trevor Richards
+	Conformal models and fingerprints of pseudo-lemniscates	2015	Trevor Richards Malik Younsi
+	Conformal equivalence of analytic functions on compact sets	2015	Trevor Richards
+ PDF Chat	Level Curve Configurations and Conformal Equivalence of Meromorphic Functions	2015	Trevor Richards
+	Conformal models and fingerprints of pseudo-lemniscates	2015	Trevor Richards Malik Younsi
+	Conformal equivalence of analytic functions on compact sets	2015	Trevor Richards
+	On Scottish Book Problem 157	2015	Kevin Beanland Paul D. Humke Trevor Richards
+	On the conformal equivalence of meromorphic functions	2013	Trevor Richards
+	Notes on the Level Curves of a Meromorphic Function	2013	Trevor Richards
+	ON LEVEL CURVES AND CONFORMAL EQUIVALENCE OF MEROMORPHIC FUNCTIONS	2013	Trevor Richards
+	Notes on the Level Curves of a Meromorphic Function	2013	Trevor Richards

Common Coauthors

Coauthor	Papers Together
Malik Younsi	6
Kevin Beanland	3
Stefan Steinerberger	3
Paul D. Humke	3
Jimmy Yau	1
Yu. Andreev	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Two-dimensional shapes and lemniscates	2011	Peter Ebenfelt Dmitry Khavinson Helene Shapiro	9
+	Shapes, fingerprints and rational lemniscates	2015	Malik Younsi	6
+ PDF Chat	Metric properties of polynomials	1958	P. Erdős Fritz Herzog George Piranian	6
+	Functions of One Complex Variable I	1978	John B. Conway	5
+ PDF Chat	Conformal Equivalence of Analytic Functions on Compact Sets	2016	Trevor Richards	5
+ PDF Chat	Conformal Models and Fingerprints of Pseudo-lemniscates	2016	Trevor Richards Malik Younsi	4
+ PDF Chat	On the convexity of the level curves of a polynomial	1966	A. W. Goodman	4
+ PDF Chat	Level Curve Configurations and Conformal Equivalence of Meromorphic Functions	2015	Trevor Richards	4
+	Level Curves of Inner Functions	1985	Kenneth Stephenson Carl Johan Sundberg	4
+ PDF Chat	The shape of level curves	1966	George Piranian	4
+	Analytic Functions Sharing Level Curves and Tracts	1986	Kenneth Stephenson	4
+ PDF Chat	Leaky roots and stable Gauss-Lucas theorems	2019	Trevor Richards Stefan Steinerberger	4
+	The Critical Values of a Polynomial	2002	Beardon Carne Ng	4
+	The Gauss–Lucas theorem in an asymptotic sense	2016	Вилмос Тотик	4
+	Level sets of univalent functions	1981	W. K. Hayman Jang-Mei Wu	4
+	Polynomial Lemniscates and Their Fingerprints: From Geometry to Topology	2017	Anastasia Frolova Dmitry Khavinson Alexander Vasil’ev	3
+	On the zeros of a polynomial and its derivative	1969	André Joyal	2
+ PDF Chat	A generalization of the Gauss-Lucas theorem	2008	José Luis Díaz‐Barrero Juan José Egozcue	2
+	Area and the inradius of lemniscates	2009	Alexander Yu. Solynin Alexander S. Williams	2
+ PDF Chat	Rational Ahlfors Functions	2014	Maxime Fortier Bourque Malik Younsi	2
+	A property of the planar measure of the lemniscates	2007	H‎. ‎H‎. Cuenya‎ F‎. ‎E‎. Levis	2
+	Majorization of the Critical Points of a Polynomial by Its Zeros	2004	Gerhard Schmeißer	2
+	The Umbral Calculus	1984	Steven Roman	2
+ PDF Chat	A refinement of the Gauss-Lucas theorem	1998	Dimitar K. Dimitrov	2
+	Solution of Cubic and Quartic Equations	1965	S. Neumark	2
+ PDF Chat	Inverse spectral problem for normal matrices and the Gauss-Lucas theorem	2004	Semyon Malamud	2
+	The Theory of Cluster Sets	1966	E. F. Collingwood A. J. Lohwater	2
+	A contraction of the Lucas polygon	2004	Branko Ćurgus Vania Mascioni	2
+ PDF Chat	On the zeros of a polynomial and its derivatives	1998	Piotr Pawlowski	2
+ PDF Chat	The Distribution of Zeros of the Derivative of a Random Polynomial	2013	Robin Pemantle Igor Rivin	2
+	New estimates for the length of the Erdos-Herzog-Piranian lemniscate	2008	Alexander Fryntov Fëdor Nazarov	2
+	Geometric approach to discrete series of unirreps for Vir.	1998	A. A. Kirillov	2
+ PDF Chat	On the location of critical points of polynomials	1984	Abdul Aziz	2
+	Differentiators and the geometry of polynomials	2003	Rajesh Pereira	2
+ PDF Chat	On the zeros of a polynomial and its derivative	1972	Q. I. Rahman	2
+ PDF Chat	Length functions of lemniscates	2003	O. S. Kuznetsova Vladimir G. Tkachev	2
+	Functions which Map the Interior of the Unit Circle Upon Simple Regions	1915	James Alexander	2
+	Polynomial-lemniscates, trees and braids	1991	Fabrizio Catanese Marco Paluszny	2
+ PDF Chat	THE AREAS OF POLYNOMIAL IMAGES AND PRE-IMAGES	2004	Edward Crane	2
+ PDF Chat	Quasiconformal Mappings in the Plane:	1983	Olli Lehto K. I. Virtanen	2
+	On the Level Curves of Integral and Meromorphic Functions	1938	M. L. Cartwright	2
+ PDF Chat	2D-shape analysis using conformal mapping	2004	E. Sharon D. Mumford	2
+ PDF Chat	Borcea’s Variance Conjectures on the Critical Points of Polynomials	2011	Dmitry Khavinson Rajesh Pereira Mihai Putinar Edward B. Saff Serguei Shimorin	2
+	On estimates of lengths of lemniscates	2012	O. N. Kosukhin	2
+	On the Zeros of a Polynomial and of Its Derivative	1931	H. E. Bray	2
+	An Elementary Proof of Marden's Theorem	2008	Dan Kalman	2
+	On approximate Gauss-Lucas theorems	2017	Trevor Richards	2
+ PDF Chat	The arc length and topology of a random lemniscate	2017	Erik Lundberg Koushik Ramachandran	2
+	Ueber Die Konstruktion Riemannscher Flachen Durch Verheftung	1960	Von Albert Pfluger	2
+ PDF Chat	Geometry of Polynomials with Three Roots	2017	Christopher Frayer	2