The ergodic theory of free group actions: entropy and the f-invariant

Lewis Bowen

von Neumann's problem and extensions of non-amenable equivalence relations

Lewis Bowen, Daniel Hoff, Adrian Ioana

The space of stable weak equivalence classes of measure-preserving actions

Lewis Bowen, Robin Tucker-Drob

Nonabelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula

Lewis Bowen

Stable orbit equivalence of Bernoulli shifts over free groups

Lewis Bowen

Measure conjugacy invariants for actions of countable sofic groups

Lewis Bowen

Integrable orbit equivalence rigidity for free groups

Lewis Bowen

Sofic entropy and amenable groups

Lewis Bowen

Fluid/solid transition in a hard-core system

Lewis Bowen, Russell Lyons, Charles Radin +1

Weak density of orbit equivalence classes of free group actions

Lewis Bowen

Hyperbolic geometry and pointwise ergodic theorems

Lewis Bowen, Amos Nevo

A measure-conjugacy invariant for free group actions

Lewis Bowen

Uniqueness and Symmetry in Problems of Optimally Dense Packings

Lewis Bowen, Charles Holton, Charles Radin +1

Corrigendum to "Nonabelian free group actions: Markov processes, the Abramov- Rohlin formula and Yuzvinskii's formula"

Lewis Bowen, Yonatan Gutman

Weak isomorphisms between Bernoulli shifts

Lewis Bowen

Equivalence relations that act on bundles of hyperbolic spaces

Lewis Bowen

A brief introduction to sofic entropy theory

Lewis Bowen

On a co-induction question of Kechris

Lewis Bowen, Robin Tucker-Drob

Weak Forms of the Ehrenpreis Conjecture and the Surface Subgroup Conjecture

Lewis Bowen

Free Groups in Lattices

Lewis Bowen

Pointwise ergodic theorems beyond amenable groups

Lewis Bowen, Amos Nevo

A Generalization of the Prime Geodesic Theorem to Counting Conjugacy Classes of Free Subgroups

Lewis Bowen

An Isometry Between Measure Homology and Singular Homology

Lewis Bowen

The type and stable type of the boundary of a Gromov hyperbolic group

Lewis Bowen

On the existence of completely saturated packings and completely reduced covering

Lewis Bowen

Generic Stationary Measures and Actions

Lewis Bowen, Yair Hartman, Omer Tamuz

Every countably infinite group is almost Ornstein

Lewis Bowen

Couplings of Uniform Spanniing Forests

Lewis Bowen

The Gromov Norm of the Product of Two Surfaces

Lewis Bowen, Jesus A. de Loera, Mike Develin +1

Entropy for expansive algebraic actions of residually finite groups

Lewis Bowen

A horospherical ratio ergodic theorem for actions of free groups

Lewis Bowen, Amos Nevo

Cheeger constants and $L^2$-Betti numbers

Lewis Bowen

Simple and large equivalence relations

Lewis Bowen

Mean convergence of Markovian spherical averages for measure-preserving actions of the free group

Lewis Bowen, Alexander Bufetov, Olga Romaskevich

A Juzvinski\uı Addition Theorem for Finitely Generated Free Groups Actions

Lewis Bowen, Yonatan Gutman

Failure of the $L^1$ pointwise ergodic theorem for $\mathrm{PSL}_2(\mathbb{R})$

Lewis Bowen, Peter Burton

The authors construct an explicit example showing that the pointwise ergodic theorem for measure‑preserving actions of PSL₂(ℝ) fails in the L¹ setting, contrary to the known result…

Property (T) and the Furstenberg Entropy of Nonsingular Actions

Lewis Bowen, Yair Hartman, Omer Tamuz

Orbit equivalence, coinduced actions and free products

Lewis Bowen

Amenable equivalence relations and the construction of ergodic averages for group actions

Lewis Bowen, Amos Nevo

Rigid actions have zero entropy

Lewis Bowen

Sphere Packings in Hyperbolic Space: Periodicity and Continuity

Lewis Bowen

Harmonic models and spanning forests of residually finite groups

Lewis Bowen, Hanfeng Li

All properly ergodic Markov chains over a free group are orbit equivalent

Lewis Bowen

Geometric covering arguments and ergodic theorems for free groups

Lewis Bowen, Amos Nevo

Random walks on random coset spaces with applications to Furstenberg entropy

Lewis Bowen

Periodicity and Circle Packing in the Hyperbolic Plane

Lewis Bowen

Invariant random subgroups of the lamplighter group

Lewis Bowen, Rostislav Grigorchuk, Rostyslav Kravchenko

von-Neumann and Birkhoff ergodic theorems for negatively curved groups

Lewis Bowen, Amos Nevo

Characteristic random subgroups of geometric groups and free abelian groups of infinite rank

Lewis Bowen, Rostislav Grigorchuk, Rostyslav Kravchenko

Immersions of Pants into a Fixed Hyperbolic Surface

Lewis Bowen

Finitary random interlacements and the Gaboriau-Lyons problem

Lewis Bowen

Zero entropy is generic

Lewis Bowen

Invariant random subgroups of the free group

Lewis Bowen

Entropy theory for sofic groupoids I: the foundations

Lewis Bowen

A Solidification Phenomenon in Random Packings

Lewis Bowen, Russell Lyons, Charles Radin +1

Optimally dense packings of hyperbolic space

Lewis Bowen, Charles Radin