Jane M. Hawkins | Academic Influence

Jane M. Hawkins's AcademicInfluence.com Rankings

Jane M. Hawkins

Mathematics

#821

World Rank

#1470

Historical Rank

#358

USA Rank

Measure Theory

#1037

World Rank

#1335

Historical Rank

#382

USA Rank

mathematics Degrees

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Mathematics

Jane M. Hawkins's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is Jane M. Hawkins Influential?

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According to Wikipedia, Jane Margaret Hawkins is an American mathematician who works as a professor of mathematics at University of North Carolina at Chapel Hill. Her research concerns dynamical systems and complex dynamics, including cellular automata and Julia sets. More recent research has included work on cellular automata models for the spread of HIV, Hepatitis C and Ebola.

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Jane M. Hawkins's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Ergodic Properties and Julia Sets of Weierstrass Elliptic Functions (2002) (33)
Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions (2005) (30)
Parametrized dynamics of the weierstrass elliptic function (2004) (28)
A Dynamical Study of a Cellular Automata Model of the Spread of HIV in a Lymph Node (2009) (27)
Abelian cocycles for nonsingular ergodic transformations and the genericity of type III1 transformations (1987) (25)
Rigidity of smooth one-sided Bernoulli endomorphisms (2009) (24)
OnC2-diffeomorphisms of the circle which are of type III1 (1982) (23)
Exactness and maximal automorphic factors of unimodal interval maps (2001) (18)
Lebesgue Ergodic Rational Maps in Parameter Space (2003) (17)
A cellular automata model of Ebola virus dynamics (2015) (16)
Amenable relations for endomorphisms (1994) (16)
Locally Sierpinski Julia Sets of Weierstrass Elliptic P Functions (2006) (15)
Noninvertible transformations admitting no absolutely continuous -finite invariant measure (1991) (15)
Rohlin factors, product factors, and joinings for n-to-one maps (1993) (15)
Examples of expandingC1 maps having no σ-finite invariant measure equivalent to Lebesgue (1998) (13)
Properties of ergodic flows associated to product odometers (1990) (11)
Remarks on recurrence and orbit equivalence of nonsingular endomorphisms (1988) (9)
Elliptic functions with critical orbits approaching infinity (2010) (9)
Approximately transitive diffeomorphisms of the circle (1984) (8)
Examples of natural extensions of nonsingular endomorphisms (1994) (7)
Approximately transitive (2) flows and transformations have simple spectrum (1988) (7)
A family of elliptic functions with Julia set the whole sphere (2010) (7)
Markov process models of the dynamics of HIV reservoirs. (2016) (7)
Characterizing Mildly Mixing Actions by Orbit Equivalence of Products (1998) (7)
Markov cellular automata models for chronic disease progression (2015) (6)
McMullen’s root-finding algorithm for cubic polynomials (2002) (5)
Julia sets on ℝℙ² and dianalytic dynamics (2014) (5)
Inertial Particle Separator Efficiency Using Spherical Particles (2013) (5)
Families of ergodic and exact one-dimensional maps (2007) (4)
Smooth type III diffeomorphisms of manifolds (1983) (4)
Ergodic and chaotic properties of Lipschitz maps on smooth surfaces (2012) (4)
Ergodic Dynamics (2021) (3)
Examples and properties of nonexact ergodic shift measures (1999) (3)
Parameterized Dynamics for the Weierstrass Elliptic Function over Square Period Lattices (2011) (3)
Stability of Cantor Julia sets in the space of iterated elliptic functions (2019) (3)
The Maximal Entropy Measure of Fatou Boundaries (2017) (3)
Nondeterministic and Stochastic Cellular Automata and Virus Dynamics (2018) (3)
ONE-DIMENSIONAL STOCHASTIC CELLULAR AUTOMATA (2)
Julia sets on $\mathbb {R}\mathbb {P}^2$ and dianalytic dynamics (2014) (2)
Rational families converging to a family of exponential maps (2019) (2)
Dynamics and julia sets of iterated elliptic functions (2018) (2)
Families of type III0 ergodic transformations in distinct orbit equivalent classes (2011) (2)
A Construction of a Non-Measure-Preserving Endomorphism Using Quotient Relations and Automorphic Factors☆ (1996) (2)
Diffeomorphisms of manifolds with nonsingular Poincaré flows (1990) (2)
A special class of infinite measure-preserving quadratic rational maps (2018) (1)
Single and double toral band Fatou components in meromorphic dynamics (2023) (1)
LEBESGUE MEASURE THEORETIC DYNAMICS OF RATIONAL MAPS (2015) (1)
Smooth ⁿ-valued cocycles for ergodic diffeomorphisms (1985) (1)
Proof of a folklore Julia set connectedness theorem and connections with elliptic functions (2013) (1)
Topological dynamics of dianalytic maps on Klein surfaces (2015) (1)
Curriculum Materials Reviews (1995) (1)
Dynamics of Automorphisms of the Torus and Other Groups (2021) (0)
Book Review: Conformal fractals: ergodic theory methods (2012) (0)
Mixing Properties of Dynamical Systems (2021) (0)
Complex Dynamics (2020) (0)
Casting Light on the Shadow of Doubt (2001) (0)
RESEARCH ARTICLE Elliptic functions with critical orbits approaching inflnity (2009) (0)
Ergodic Theorems (2021) (0)
Dynamics of Mathematical Groups (2015) (0)
Shift Spaces (2021) (0)
Dynamical Properties of Measurable Transformations (2021) (0)
Dynamics and bifurcations of a Family of Rational Maps with parabolic Fixed Points (2011) (0)
Perron–Frobenius Theorem and Some Applications (2021) (0)
An Experimental View of Herman Rings for Dianalytic Maps of $\mathbb{RP}^2$ (2017) (0)
Attractors in Dynamical Systems (2021) (0)
The Simplest Examples (2021) (0)
Topology Proceedings (2008) (0)
Type III diffeomorphisms of manifolds (1980) (0)
Invariant Measures (2021) (0)
No Equivalent Invariant Measures: Type III Maps (2021) (0)
Maximal Entropy Measures on Julia Sets and a Computer Algorithm (2021) (0)
SMOOTH T "VALUED COCYCLES FOR ERGODIC DIFFEOMORPfflSMS (2010) (0)
Dynamical Systems and Random Processes (2019) (0)
Cellular Automata (2021) (0)
An Introduction to Entropy (2021) (0)

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What Schools Are Affiliated With Jane M. Hawkins?

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