Grants per year

## Personal profile

### Research Interests

Ergodic theory and dynamical systems, particularly on problems motivated by combinatorics and number theory.

### Education/Academic qualification

Mathematics, PhD, Stanford University

… → 1995

Mathematics, MS, Stanford University

… → 1990

Mathematics, AB, Harvard University

… → 1988

## Fingerprint Fingerprint is based on mining the text of the experts' scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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Ergodic Averages
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Integer
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Recurrence
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Theorem
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##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Grants 2006 2021

Recurrence

Topological Dynamics

Equidistribution

Ergodic Theory

Combinatorics

## GROW 2017: Strengthening women's representation in the mathematics workforce

DeMarco, L. G., Getzler, E., Goerss, P. G. & Kra, B. R.

6/1/17 → 5/31/19

Project: Research project

mathematics

science

graduate

weekend

school graduate

funding

Chile

France

mathematics

graduate

science

weekend

diplomat

mentoring

computer science

graduate

mathematics

education

## Research Output 1996 2019

## Counting generic measures for a subshift of linear growth

Cyr, V. & Kra, B. R., Jan 1 2019, In : Journal of the European Mathematical Society. 21, 2, p. 355-380 26 p.Research output: Contribution to journal › Article

Subshift

Counting

Interval Exchange Transformation

Upper bound

Ergodic Measure

## The spacetime of a shift endomorphism

Cyr, V., Franks, J. M. & Kra, B. R., Jan 1 2019, In : Transactions of the American Mathematical Society. 371, 1, p. 461-488 28 p.Research output: Contribution to journal › Article

Endomorphism

Automorphism

Automorphism Group

Entropy

Space-time

## Commentary on "Ergodic theory of amenable group actions": Old and new

Kra, B. R., Jan 1 2018, In : Bulletin of the American Mathematical Society. 55, 3, p. 343-345 3 p.Research output: Contribution to journal › Comment/debate

Amenable Group

Ergodic Theory

Group Action

Immediately

Lemma

## Equidistribution of dilated curves on nilmanifolds

Kra, B., Shah, N. A. & Sun, W., Jan 1 2018, (Accepted/In press) In : Journal of the London Mathematical Society. 98, 3, p. 708-732 25 p.Research output: Contribution to journal › Article

Nilmanifolds

Equidistribution

Curve

Haar Measure

Weak Topology

## The automorphism group of a shift of slow growth is amenable

Cyr, V. A. N. & Kra, B. R., Jan 1 2018, (Accepted/In press) In : Ergodic Theory and Dynamical Systems.Research output: Contribution to journal › Article

Subshift

Automorphism Group

Free Monoid

Discrete Group

Monoid