# zbMATH — the first resource for mathematics

## Hawkins, Jane M.

Compute Distance To:
 Author ID: hawkins.jane-m Published as: Hawkins, Jane; Hawkins, Jane M.; Hawkins, J. M.; Hawkins, J. Homepage: http://www.unc.edu/math/Faculty/jhawkins/ External Links: MGP · Wikidata
 Documents Indexed: 53 Publications since 1982, including 2 Books
all top 5

#### Co-Authors

 18 single-authored 5 Koss, Lorelei 3 Bruin, Henk 3 Dajani, Karma 3 Goodman, Sue E. 3 Molinek, Donna K. 3 Silva, Cesar E. 2 Burkhead, Emily Gamber 1 Barnes, Julia A. 1 Bayless-Rossetti, Rachel 1 Choksi, J. R. 1 Dooley, Anthony Haynes 1 Eigen, Stanley J. 1 Furno, Joanna 1 Hagihara, Rika 1 Kotus, Janina 1 Look, Daniel M. 1 McClure, Mark W. 1 Moreno Rocha, Mónica 1 Prasad, Vidhu S. 1 Ralston, David 1 Robinson, E. Arthur jun. 1 Rossetti, Rachel L. 1 Schmidt, Klaus 1 Wiseman, Jim 1 Woods, Edward James
all top 5

#### Serials

 5 Proceedings of the American Mathematical Society 5 The New York Journal of Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Monatshefte für Mathematik 3 Topology Proceedings 3 Conformal Geometry and Dynamics 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Transactions of the American Mathematical Society 2 Journal of Difference Equations and Applications 2 Dynamical Systems 1 Mathematical Biosciences 1 Physica A 1 Bulletin of Mathematical Biology 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Pacific Journal of Mathematics 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Discrete and Continuous Dynamical Systems 1 Contemporary Mathematics 1 Graduate Texts in Mathematics 1 International Journal of Biomathematics 1 Journal of Fractal Geometry
all top 5

#### Fields

 45 Dynamical systems and ergodic theory (37-XX) 19 Measure and integration (28-XX) 10 Functions of a complex variable (30-XX) 5 General topology (54-XX) 5 Biology and other natural sciences (92-XX) 4 Probability theory and stochastic processes (60-XX) 3 Manifolds and cell complexes (57-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 162 times in 91 Documents Cited by Year
Ergodic properties and Julia sets of Weierstrass elliptic functions. Zbl 1009.37034
Hawkins, Jane; Koss, Lorelei
2002
Connectivity properties of Julia sets of Weierstrass elliptic functions. Zbl 1074.37029
Hawkins, Jane; Koss, Lorelei
2005
Parametrized dynamics of the Weierstrass elliptic function. Zbl 1076.30027
Hawkins, Jane; Koss, Lorelei
2004
Lebesgue ergodic rational maps in parameter space. Zbl 1066.37030
Hawkins, Jane
2003
A dynamical study of a cellular automata model of the spread of HIV in a lymph node. Zbl 1169.92023
Burkhead, E. G.; Hawkins, J. M.; Molinek, D. K.
2009
On $$C^2$$-diffeomorphisms of the circle which are of type III$$_1$$. Zbl 0506.58019
Hawkins, Jane; Schmidt, Klaus
1982
Locally Sierpinski Julia sets of Weierstrass elliptic $$\wp$$ functions. Zbl 1185.37124
Hawkins, Jane M.; Look, Daniel M.
2006
Rohlin factors, product factors, and joinings for $$n$$-to-one maps. Zbl 0805.28010
Dajani, Karma; Hawkins, Jane
1993
Rigidity of smooth one-sided Bernoulli endomorphisms. Zbl 1189.37002
Bruin, Henk; Hawkins, Jane
2009
Exactness and maximal automorphic factors of unimodal interval maps. Zbl 1055.37040
Bruin, Henk; Hawkins, Jane
2001
Amenable relations for endomorphisms. Zbl 0828.28005
Hawkins, Jane M.
1994
Abelian cocycles for nonsingular ergodic transformations and the genericity of type $$III_ 1$$ transformations. Zbl 0623.58010
Choksi, J. R.; Hawkins, J. M.; Prasad, V. S.
1987
A family of elliptic functions with Julia set the whole sphere. Zbl 1221.54045
Hawkins, Jane
2010
Elliptic functions with critical orbits approaching infinity. Zbl 1230.37059
Hawkins, Jane; Koss, Lorelei; Kotus, Janina
2010
Examples of natural extensions of nonsingular endomorphisms. Zbl 0820.28008
Dajani, K. G.; Hawkins, J. M.
1994
Non-ITPFI diffeomorphisms. Zbl 0557.28020
Hawkins, Jane
1982
Noninvertible transformations admitting no absolutely continuous $$\sigma$$-finite invariant measure. Zbl 0729.28012
Hawkins, Jane M.; Silva, Cesar E.
1991
Properties of ergodic flows associated to product odometers. Zbl 0734.28018
Hawkins, Jane M.
1990
McMullen’s root-finding algorithm for cubic polynomials. Zbl 1075.37012
Hawkins, Jane M.
2002
Smooth Julia sets of elliptic functions for square rhombic lattices. Zbl 1132.54021
Hawkins, Jane
2006
Examples of expanding $$C^1$$ maps having no $$\sigma$$-finite invariant measure equivalent to Lebesgue. Zbl 0936.37001
Bruin, Henk; Hawkins, Jane
1998
Ergodic and chaotic properties of Lipschitz maps on smooth surfaces. Zbl 1253.37028
Goodman, Sue; Hawkins, Jane
2012
Markov cellular automata models for chronic disease progression. Zbl 1329.60245
Hawkins, Jane; Molinek, Donna
2015
A cellular automata model of Ebola virus dynamics. Zbl 1400.92317
2015
Remarks on recurrence and orbit equivalence of nonsingular endomorphisms. Zbl 0685.28007
Hawkins, Jane M.; Silva, Cesar E.
1988
Approximately transitive diffeomorphisms of the circle. Zbl 0543.58010
Hawkins, J.; Woods, E. J.
1984
Examples and properties of nonexact ergodic shift measures. Zbl 1026.28015
Eigen, Stanley; Hawkins, Jane
1999
Families of ergodic and exact one-dimensional maps. Zbl 1134.37013
Barnes, Julia; Hawkins, Jane
2007
Parameterized dynamics for the Weierstrass elliptic function over square period lattices. Zbl 1208.37044
Hawkins, Jane; McClure, Mark
2011
Smooth type III diffeomorphisms of manifolds. Zbl 0547.58025
Hawkins, Jane
1983
Characterizing mildly mixing actions by orbit equivalence of products. Zbl 0905.28009
Hawkins, Jane; Silva, Cesar E.
1998
A construction of a non-measure-preserving endomorphism using quotient relations and automorphic factors. Zbl 0877.28015
Dajani, Karma; Hawkins, Jane
1996
Topological dynamics of dianalytic maps on Klein surfaces. Zbl 1370.37094
Hawkins, Jane
2015
Julia sets on $$\mathbb{R}\mathbb{P}^2$$ and dianalytic dynamics. Zbl 1326.37037
Goodman, Sue; Hawkins, Jane
2014
Dynamics and Julia sets of iterated elliptic functions. Zbl 1446.37049
Hawkins, Jane; Moreno Rocha, Mónica
2018
One-dimensional stochastic cellular automata. Zbl 1387.37017
Hawkins, Jane; Molinek, Donna
2007
A special class of infinite measure-preserving quadratic rational maps. Zbl 1420.37027
Bayless-Rossetti, Rachel; Hawkins, Jane
2019
Families of type III$$_{0}$$ ergodic transformations in distinct orbit equivalent classes. Zbl 1246.37008
Dooley, A. H.; Hawkins, J.; Ralston, D.
2011
Proof of a folklore Julia set connectedness theorem and connections with elliptic functions. Zbl 1279.37033
Hawkins, Jane M.
2013
Smooth $$T^ n$$-valued cocycles for ergodic diffeomorphisms. Zbl 0556.58020
Hawkins, Jane M.
1985
A special class of infinite measure-preserving quadratic rational maps. Zbl 1420.37027
Bayless-Rossetti, Rachel; Hawkins, Jane
2019
Dynamics and Julia sets of iterated elliptic functions. Zbl 1446.37049
Hawkins, Jane; Moreno Rocha, Mónica
2018
Markov cellular automata models for chronic disease progression. Zbl 1329.60245
Hawkins, Jane; Molinek, Donna
2015
A cellular automata model of Ebola virus dynamics. Zbl 1400.92317
2015
Topological dynamics of dianalytic maps on Klein surfaces. Zbl 1370.37094
Hawkins, Jane
2015
Julia sets on $$\mathbb{R}\mathbb{P}^2$$ and dianalytic dynamics. Zbl 1326.37037
Goodman, Sue; Hawkins, Jane
2014
Proof of a folklore Julia set connectedness theorem and connections with elliptic functions. Zbl 1279.37033
Hawkins, Jane M.
2013
Ergodic and chaotic properties of Lipschitz maps on smooth surfaces. Zbl 1253.37028
Goodman, Sue; Hawkins, Jane
2012
Parameterized dynamics for the Weierstrass elliptic function over square period lattices. Zbl 1208.37044
Hawkins, Jane; McClure, Mark
2011
Families of type III$$_{0}$$ ergodic transformations in distinct orbit equivalent classes. Zbl 1246.37008
Dooley, A. H.; Hawkins, J.; Ralston, D.
2011
A family of elliptic functions with Julia set the whole sphere. Zbl 1221.54045
Hawkins, Jane
2010
Elliptic functions with critical orbits approaching infinity. Zbl 1230.37059
Hawkins, Jane; Koss, Lorelei; Kotus, Janina
2010
A dynamical study of a cellular automata model of the spread of HIV in a lymph node. Zbl 1169.92023
Burkhead, E. G.; Hawkins, J. M.; Molinek, D. K.
2009
Rigidity of smooth one-sided Bernoulli endomorphisms. Zbl 1189.37002
Bruin, Henk; Hawkins, Jane
2009
Families of ergodic and exact one-dimensional maps. Zbl 1134.37013
Barnes, Julia; Hawkins, Jane
2007
One-dimensional stochastic cellular automata. Zbl 1387.37017
Hawkins, Jane; Molinek, Donna
2007
Locally Sierpinski Julia sets of Weierstrass elliptic $$\wp$$ functions. Zbl 1185.37124
Hawkins, Jane M.; Look, Daniel M.
2006
Smooth Julia sets of elliptic functions for square rhombic lattices. Zbl 1132.54021
Hawkins, Jane
2006
Connectivity properties of Julia sets of Weierstrass elliptic functions. Zbl 1074.37029
Hawkins, Jane; Koss, Lorelei
2005
Parametrized dynamics of the Weierstrass elliptic function. Zbl 1076.30027
Hawkins, Jane; Koss, Lorelei
2004
Lebesgue ergodic rational maps in parameter space. Zbl 1066.37030
Hawkins, Jane
2003
Ergodic properties and Julia sets of Weierstrass elliptic functions. Zbl 1009.37034
Hawkins, Jane; Koss, Lorelei
2002
McMullen’s root-finding algorithm for cubic polynomials. Zbl 1075.37012
Hawkins, Jane M.
2002
Exactness and maximal automorphic factors of unimodal interval maps. Zbl 1055.37040
Bruin, Henk; Hawkins, Jane
2001
Examples and properties of nonexact ergodic shift measures. Zbl 1026.28015
Eigen, Stanley; Hawkins, Jane
1999
Examples of expanding $$C^1$$ maps having no $$\sigma$$-finite invariant measure equivalent to Lebesgue. Zbl 0936.37001
Bruin, Henk; Hawkins, Jane
1998
Characterizing mildly mixing actions by orbit equivalence of products. Zbl 0905.28009
Hawkins, Jane; Silva, Cesar E.
1998
A construction of a non-measure-preserving endomorphism using quotient relations and automorphic factors. Zbl 0877.28015
Dajani, Karma; Hawkins, Jane
1996
Amenable relations for endomorphisms. Zbl 0828.28005
Hawkins, Jane M.
1994
Examples of natural extensions of nonsingular endomorphisms. Zbl 0820.28008
Dajani, K. G.; Hawkins, J. M.
1994
Rohlin factors, product factors, and joinings for $$n$$-to-one maps. Zbl 0805.28010
Dajani, Karma; Hawkins, Jane
1993
Noninvertible transformations admitting no absolutely continuous $$\sigma$$-finite invariant measure. Zbl 0729.28012
Hawkins, Jane M.; Silva, Cesar E.
1991
Properties of ergodic flows associated to product odometers. Zbl 0734.28018
Hawkins, Jane M.
1990
Remarks on recurrence and orbit equivalence of nonsingular endomorphisms. Zbl 0685.28007
Hawkins, Jane M.; Silva, Cesar E.
1988
Abelian cocycles for nonsingular ergodic transformations and the genericity of type $$III_ 1$$ transformations. Zbl 0623.58010
Choksi, J. R.; Hawkins, J. M.; Prasad, V. S.
1987
Smooth $$T^ n$$-valued cocycles for ergodic diffeomorphisms. Zbl 0556.58020
Hawkins, Jane M.
1985
Approximately transitive diffeomorphisms of the circle. Zbl 0543.58010
Hawkins, J.; Woods, E. J.
1984
Smooth type III diffeomorphisms of manifolds. Zbl 0547.58025
Hawkins, Jane
1983
On $$C^2$$-diffeomorphisms of the circle which are of type III$$_1$$. Zbl 0506.58019
Hawkins, Jane; Schmidt, Klaus
1982
Non-ITPFI diffeomorphisms. Zbl 0557.28020
Hawkins, Jane
1982
all top 5

#### Cited by 90 Authors

 26 Hawkins, Jane M. 10 Koss, Lorelei 5 Bruin, Henk 4 Kotus, Janina 3 Dzhalilov, Akhtam 3 Furno, Joanna 3 Khanin, Konstantin M. 3 Lemańczyk, Mariusz 3 Mihailescu, Eugen Gh. 2 Adouani, Abdelhamid 2 Barnes, Julia A. 2 Burkhead, Emily Gamber 2 Clemons, Joshua J. 2 Coutinho, Sérgio 2 Danilenko, Alexandre I. 2 de Figueirêdo, Pedro Hugo 2 Eigen, Stanley J. 2 El Abdalaoui, El Houcein 2 Galązka, Piotr 2 González, Ramón E. R. 2 Hagihara, Rika 2 Kosloff, Zemer 2 Molinek, Donna K. 2 Stankewitz, Rich 2 Sumi, Hiroki 2 Woods, Edward James 1 Akhadkulov, Habibulla 1 Akin, Hasan 1 Aliyev, Abdurakhmov 1 Baladi, Viviane 1 Bénéteau, Catherine 1 Campbell, James T. 1 Catsigeras, Eleonora 1 Collins, Jared T. 1 Connes, Alain 1 Cordero, Alicia 1 Dajani, Karma 1 De Leo, Roberto 1 Devaney, Robert L. 1 Djalilov, Shukrat 1 dos Santos, Rita Maria Zorzenon 1 Enrich, Heber 1 Fayad, Bassam R. 1 Fernández, Leobardo 1 Fernández, Roberto 1 García-Morales, Vladimir 1 Good, Chris 1 Goodman, Sue E. 1 Graw, Frederik 1 Hajian, Arshag B. 1 Halverson, Kim 1 Jiménez López, Víctor 1 Kalle, Charlene 1 Katznelson, Yitzhak 1 Laszkiewicz, Beata 1 Li, Zhiqiang 1 Look, Daniel M. 1 Louis, Pierre-Yves 1 Marzougui, Habib 1 Mayer, Dieter H. 1 McClure, Mark W. 1 Miernowski, Tomasz 1 Misiurewicz, Michał 1 Mo, Youbin 1 Nardi, Francesca Romana 1 Nerurkar, Mahesh G. 1 Nogueira, Arnaldo C. R. 1 Northshield, Sam 1 Perelson, Alan S. 1 Precharattana, Monamorn 1 Ren, Bin 1 Rodrigues, Ana 1 Rossetti, Rachel L. 1 Rudolph, Daniel J. 1 Shuai, Jianwei 1 Silva, Cesar E. 1 Sinaĭ, Yakov Grigor’evich 1 Smania, Daniel 1 Soo, Terry 1 Temir, Seyit 1 Todd, Mike 1 Torregrosa Sanchez, Juan Ramón 1 Triampo, Wannapong 1 Urbański, Mariusz 1 van Strien, Sebastian J. 1 Weiss, Benjamin 1 Yang, Wencao 1 Yoccoz, Jean-Christophe 1 Zhdanov, Vladimir P. 1 Ziętak, Krystyna
all top 5

#### Cited in 37 Serials

 8 Proceedings of the American Mathematical Society 8 Ergodic Theory and Dynamical Systems 6 Monatshefte für Mathematik 5 Israel Journal of Mathematics 5 Physica A 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Discrete and Continuous Dynamical Systems 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Difference Equations and Applications 3 Conformal Geometry and Dynamics 2 Mathematical Biosciences 2 Transactions of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Dynamical Systems 2 Journal of Modern Dynamics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Fundamenta Mathematicae 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Topology and its Applications 1 Indagationes Mathematicae. New Series 1 Topology Proceedings 1 Numerical Linear Algebra with Applications 1 Fractals 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Portugaliae Mathematica. Nova Série 1 International Journal of Biomathematics 1 Journal of Fractal Geometry 1 Nelineĭnaya Dinamika
all top 5

#### Cited in 19 Fields

 76 Dynamical systems and ergodic theory (37-XX) 18 Measure and integration (28-XX) 15 Functions of a complex variable (30-XX) 11 Biology and other natural sciences (92-XX) 7 Computer science (68-XX) 5 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 2 Real functions (26-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.