44 Dynamical systems theorists

Professor Nalini Anantharaman is a French mathematician who has won major prizes including the Henri Poincaré Prize in 2012.

Dmitri Victorovich Anosov was a Soviet and Russian mathematician, known for his contributions to dynamical systems theory.

Vladimir Igorevich Arnold was a Soviet and Russian mathematician. While he is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, he made important contributions in several areas including dynamical systems theory, algebra, catastrophe theory, topology, algebraic geometry, symplectic geometry, differential equations, classical mechanics, hydrodynamics and singularity theory, including posing the ADE classification problem, since his first main result—the solution of Hilbert's thirteenth problem in 1957 at the age of 19. He co-founded two new branches of mathematics—KAM theory, and topological Galois theory.

Artur Avila Cordeiro de Melo is a Brazilian mathematician naturalized French working primarily on dynamical systems and spectral theory. He is one of the winners of the 2014 Fields Medal, being the first Latin American to win such an award. He has been a researcher at both the IMPA and the CNRS. He has been a professor at the University of Zurich since September 2018.

Victor Bangert is Professor of Mathematics at the Mathematisches Institut in Freiburg, Germany. His main interests are differential geometry and dynamical systems theory. He is a leading expert in the theory of closed geodesics, where one of his most celebrated result, combined with another one due to John Franks, implies that every Riemannian 2-sphere possesses infinitely many closed geodesics. He also made important contributions to Aubry–Mather theory.

Xavier Buff is a French mathematician, specializing in dynamical systems.

Leonid Bunimovich is a Soviet and American mathematician, who made fundamental contributions to the theory of Dynamical Systems, Statistical Physics and various applications. Bunimovich received his bachelor's degree in 1967, master's degree in 1969 and PhD in 1973 from the University of Moscow. His masters and PhD thesis advisor was Yakov G. Sinai. In 1986 he finally received Doctor of Sciences degree in "Theoretical and Mathematical Physics". Bunimovich is a Regents' Professor of Mathematics at the Georgia Institute of Technology.

César Leopoldo Camacho Manco, better known as simply César Camacho, is a Peruvian-born Brazilian mathematician and former director of the IMPA. His area of research is dynamical systems theory.

Arnaud Chéritat is a French mathematician who works as a director of research at the Institut de Mathématiques de Toulouse. His research concerns complex dynamics and the shape of Julia sets.

Robert Luke Devaney is an American mathematician, the Feld Family Professor of Teaching Excellence at Boston University. His research involves dynamical systems and fractals.

Adrien Douady was a French mathematician. His son, Raphael Douady, is also a mathematician and an economist.

Étienne Ghys is a French mathematician. His research focuses mainly on geometry and dynamical systems, though his mathematical interests are broad. He also expresses much interest in the historical development of mathematical ideas, especially the contributions of Henri Poincaré.

John Hamal Hubbard is an American mathematician and professor at Cornell University and the Université de Provence. He is well known for the mathematical contributions he made with Adrien Douady in the field of complex dynamics, including a study of the Mandelbrot set. One of their most important results is that the Mandelbrot set is connected.

Svetlana Yakovlevna Jitomirskaya is a Soviet-born American mathematician working on dynamical systems and mathematical physics. She is a distinguished professor of mathematics at the University of California, Irvine. She is best known for solving the ten martini problem along with mathematician Artur Avila.

Jeremy Adam Kahn is an American mathematician. He works on hyperbolic geometry, Riemann surfaces and complex dynamics.

Anatoly Borisovich Katok was an American mathematician with Russian-Jewish origins. Katok was the director of the Center for Dynamics and Geometry at the Pennsylvania State University. His field of research was the theory of dynamical systems.

Andrey Nikolaevich Kolmogorov was a Soviet mathematician who made significant contributions to the mathematics of probability theory, topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and computational complexity.

Krystyna M. Kuperberg is a Polish-American mathematician who currently works as a professor of mathematics at Auburn University, where she was formerly an Alumni Professor of Mathematics.

Elon Lindenstrauss is an Israeli mathematician, and a winner of the 2010 Fields Medal.

Artur Oscar Lopes is a Brazilian mathematician working on dynamical systems and ergodic theory. He is a professor at UFRGS, Porto Alegre.

Mikhail Lyubich is a mathematician who made important contributions to the fields of holomorphic dynamics and chaos theory.

Grigory Aleksandrovich Margulis is a Russian-American mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978, a Wolf Prize in Mathematics in 2005, and an Abel Prize in 2020, becoming the fifth mathematician to receive the three prizes. In 1991, he joined the faculty of Yale University, where he is currently the Erastus L. De Forest Professor of Mathematics.

John Norman Mather was a mathematician at Princeton University known for his work on singularity theory and Hamiltonian dynamics. He was descended from Atherton Mather (1663–1734), a cousin of Cotton Mather. His early work dealt with the stability of smooth mappings between smooth manifolds of dimensions n and p. He determined the precise dimensions (n,p) for which smooth mappings are stable with respect to smooth equivalence by diffeomorphisms of the source and target.

Curtis Tracy McMullen is an American mathematician who is the Cabot Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüller theory.

John Willard Milnor is an American mathematician known for his work in differential topology, K-theory and dynamical systems. Milnor is a distinguished professor at Stony Brook University and one of the six mathematicians to have won the Fields Medal, the Wolf Prize, and the Abel Prize.

Maryam Mirzakhani was an Iranian mathematician and a professor of mathematics at Stanford University. Her research topics included Teichmüller theory, hyperbolic geometry, ergodic theory, and symplectic geometry. In 2005, as a result of her research, she was honored in Popular Science's fourth annual "Brilliant 10" in which she was acknowledged as one of the top 10 young minds who have pushed their fields in innovative directions.

Jürgen Kurt Moser was a German-American mathematician, honored for work spanning over four decades, including Hamiltonian dynamical systems and partial differential equations.

Jacob Palis Jr. is a Brazilian mathematician and professor. Palis' research interests are mainly dynamical systems and differential equations. Some themes are global stability and hyperbolicity, bifurcations, attractors and chaotic systems.

Professor William (Bill) Parry FRS was an English mathematician. During his research career, he was highly active in the study of dynamical systems, and, in particular, ergodic theory, and made significant contributions to these fields. He is considered to have been at the forefront of the introduction of ergodic theory to the United Kingdom. He played a founding role in the study of subshifts of finite type, and his work on nilflows was highly regarded.

Oreste Piro is a dynamical systems theorist and biophysicist. He is at the Universitat de les Illes Balears (UIB) in Palma de Mallorca.

Jules Henri Poincaré was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist", since he excelled in all fields of the discipline as it existed during his lifetime.

Tudor Stefan Ratiu is a Romanian-American mathematician who has made contributions to geometric mechanics and dynamical systems theory.

Marina Evseevna Ratner was a professor of mathematics at the University of California, Berkeley who worked in ergodic theory. Around 1990, she proved a group of major theorems concerning unipotent flows on homogeneous spaces, known as Ratner's theorems. Ratner was elected to the American Academy of Arts and Sciences in 1992, awarded the Ostrowski Prize in 1993 and elected to the National Academy of Sciences the same year. In 1994, she was awarded the John J. Carty Award from the National Academy of Sciences.

Geneviève Raugel was a French mathematician working in the field of numerical analysis and dynamical systems.

Yakov Grigorevich Sinai is a Russian mathematician known for his work on dynamical systems. He contributed to the modern metric theory of dynamical systems and connected the world of deterministic (dynamical) systems with the world of probabilistic (stochastic) systems. He has also worked on mathematical physics and probability theory. His efforts have provided the groundwork for advances in the physical sciences.

Stephen Smale is an American mathematician, known for his research in topology, dynamical systems and mathematical economics. He was awarded the Fields Medal in 1966 and spent more than three decades on the mathematics faculty of the University of California, Berkeley.

Anatoly Mikhailovich Stepin was a Soviet-Russian mathematician, specializing in dynamical systems and ergodic theory.

Dennis Parnell Sullivan is an American mathematician. He is known for work in topology, both algebraic and geometric, and on dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center, and is a professor at Stony Brook University.

Sergei Tabachnikov, also spelled Serge, is a Russian mathematician who works in geometry and dynamical systems. He is currently a Professor of Mathematics at Pennsylvania State University.

Floris Takens was a Dutch mathematician known for contributions to the theory of chaotic dynamical systems.

Corinna Ulcigrai is an Italian mathematician working on dynamical systems. With Krzysztof Frączek in 2013, Ulcigrai is known for proving that in the Ehrenfest model most trajectories are not ergodic.

Marcelo Miranda Viana da Silva is a Brazilian mathematician working in dynamical systems theory.

Jean-Christophe Yoccoz was a French mathematician. He was awarded a Fields Medal in 1994, for his work on dynamical systems.

Lai-Sang Lily Young is a Hong Kong-born American mathematician who holds the Henry & Lucy Moses Professorship of Science and is a professor of mathematics and neural science at the Courant Institute of Mathematical Sciences of New York University. Her research interests include dynamical systems, ergodic theory, chaos theory, probability theory, statistical mechanics, and neuroscience. She is particularly known for introducing the method of Markov returns in 1998, which she used to prove exponential correlation delay in Sinai billiards and other hyperbolic dynamical systems.