Ergodic Theory

Cesar E. Silva is the Hagey Family Professor of Mathematics at Williams College, where he has taught since 1984, and was chair of the department in 2008-2009 and 2010-2012. He received his PhD from the University of Rochester under the supervision of Dorothy Maharam, and his BS from the Pontificia Universidad Catolica in Peru. He has held visiting positions at a number of universities including Maryland and Toronto. In 2015, Silva was elected a Fellow of the American Mathematical Society. Silva's research interests are in ergodic theory and dynamical systems, in particular the dynamics of nonsingular and infinite measure-preserving transformations, rank-one transformations, and p-adic dynamics. Silva is the author of Invitation to Ergodic Theory and Invitation to Real Analysis, both published by the American Mathematical Society, and is co-editor of two volumes of conference proceedings, published in the AMS Contemporary Mathematics series. He was associate editor of AMS Notices and is the author or co-author of over 50 research articles in the general area of ergodic theory. Dr. Alexandre I. Danilenko is currently a leading research fellow at B. Verkin Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine. He is an expert in ergodic theory and dynamical systems. Dr. Danilenko conducts research in spectral theory, orbit theory, entropy theory, theory of joinings, nonsingular dynamics, topological dynamics, etc. During his career, he has authored or co-authored more than 60 research papers published in internationally recognized mathematical journals. Alexandre I. Danilenko received his C.Sc. degree in mathematics at Kharkiv State University in 1991. More than 10 years he was employed as Assistant Professor and Associate Professor at V. Karazin Kharkiv National University (Ukraine). He habilitated at N. Copernicus University in Torun (Poland) in 2004. Since 2002 he has been working at B. Verkin Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine.

Chaos and Ergodic TheoryEntropy in Ergodic TheoryErgodicity and Mixing PropertiesErgodic TheoremsErgodic Theory: Basic Examples and ConstructionsErgodic Theory: Fractal GeometryErgodic Theory on Homogeneous Spaces and Metric Number TheoryErgodic Theory: Interactions with Combinatorics and Number TheoryErgodic Theory, Introduction toErgodic Theory: Non-singular TransformationsErgodic Theory: RecurrenceErgodic Theory: RigidityIsomorphism Theory in Ergodic TheoryJoinings in Ergodic TheoryMeasure Preserving SystemsPressure and Equilibrium States in Ergodic TheorySmooth Ergodic TheorySpectral Theory of Dynamical SystemsSymbolic DynamicsTopological Dynamics