DOI10.1023/A:1009841100168zbMath1160.37322OpenAlexW187295716MaRDI QIDQ1975133
Mikhael Gromov
Publication date: 6 April 2000
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1009841100168
A Garden of Eden theorem for linear subshifts,
Approximately holomorphic geometry and estimated transversality on 2-calibrated manifolds,
Difference Galois theory and dynamics,
Some remarks on the entropy for algebraic actions of amenable groups,
Mean dimension and Jaworski-type theorems,
Mean dimension of full shifts,
Mean dimension, mean rank, and von Neumann-Lück rank,
Gauge theory on infinite connected sum and mean dimension,
Mean dimension of \({\mathbb{Z}^k}\)-actions,
Dynamical intricacy and average sample complexity of amenable group actions,
Topological complexity: entropy point, metric mean dimension in control systems,
Mean dimension theory in symbolic dynamics for finitely generated amenable groups,
Amenability of coarse spaces and \(\mathbb {K}\)-algebras,
Geometric methods of complex analysis. Abstracts from the workshop held January 25--31, 2015.,
Radius of comparison and mean cohomological independence dimension,
Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras,
Commentary on “Ergodic theory of amenable group actions”: Old and new,
Mean dimension and a sharp embedding theorem: extensions of aperiodic subshifts,
Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras,
Infinite dimensional representations of finite dimensional algebras and amenability,
Amenable groups, mean topological dimension and subshifts,
Variational principles for amenable metric mean dimensions,
Amenability and uniform Roe algebras,
Remark on energy density of Brody curves,
Embedding minimal dynamical systems into Hilbert cubes,
Mean dimension and metric mean dimension for non-autonomous dynamical systems,
Mean dimension of shifts of finite type and of generalized inverse limits,
\(G\)-index, topological dynamics and the marker property,
On the reversibility and the closed image property of linear cellular automata,
Amenability and Linear Cellular Automata Over Semisimple Modules of Finite Length,
Instanton approximation, periodic ASD connections, and mean dimension,
Characteristic classes of proalgebraic varieties and motivic measures,
Measurable chromatic and independence numbers for ergodic graphs and group actions,
Hilbert volume in metric spaces. I,
Tail variational principle and asymptotic \(h\)-expansiveness for amenable group actions,
Sequence entropies and mean sequence dimension for amenable group actions,
Mean dimension of the dynamical system of Brody curves,
The embedding problem in topological dynamics and Takens’ theorem,
Sofic mean dimension,
Weighted mean topological dimension,
Embedding topological dynamical systems with periodic points in cubical shifts,
An explicit compact universal space for real flows,
Amenability of Groups and G-Sets,
An \(l^p\)-version of von Neumann dimension for Banach space representations of sofic groups,
On the ampleness of positive CR line bundles over Levi-flat manifolds,
Sylvester rank functions for amenable normal extensions,
On the dimension of systems of algebraic difference equations,
Topological pressure for sub-additive potentials of amenable group actions,
Dynamical correspondences of \(L^2\)-Betti numbers,
The rank gradient from a combinatorial viewpoint.,
The Ihara zeta function for infinite graphs,
Expansive multiparameter actions and mean dimension,
Embedding ℤk-actions in cubical shifts and ℤk-symbolic extensions,
Local mean dimension of ASD moduli spaces over the cylinder,
Tail variational principle for a countable discrete amenable group action,
Generalized Hénon mappings and foliation by injective Brody curves,
GEOMETRY OF DYNAMICAL SYSTEMS AND TOPOLOGICAL STABILITY: FROM BIFURCATION, CHAOS AND FRACTALS TO DYNAMICS IN NATURAL AND LIFE SCIENCES,
Genericity of continuous maps with positive metric mean dimension,
Entropy and isoperimetry for linear and non-linear group actions.,
Minimal subshifts of arbitrary mean topological dimension,
An analogue of Fekete's lemma for subadditive functions on cancellative amenable semigroups,
Topological invariants for discrete group actions,
Algebraic characterization of quasi-isometric spaces via the Higson compactification,
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry,
Mean dimension and an embedding problem: an example,
On projectively embeddable complex-foliated structures,
Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes,
Scale pressure for amenable group actions,
On stability of non-domination under taking products,
Large dynamics of Yang-Mills theory: mean dimension formula,
Two examples on the mean dimension of spaces of Brody curves,
Minimal systems of arbitrary large mean topological dimension,
Amenable upper mean dimensions,
Double variational principle for mean dimension with potential,
On amenability of group algebras. I.,
On the rotation sets of generic homeomorphisms on the torus,
Divergence and quasi-isometry classes of random Gromov’s monsters,
Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property,
Variational relations for metric mean dimension and rate distortion dimension,
Almost finiteness and the small boundary property,
Curvature and \(L^p\) Bergman spaces on complex submanifolds in \(\mathbb{C}^N\),
𝒵-stability of transformation group C*-algebras,
Generic homeomorphisms have full metric mean dimension,
A variational principle for the metric mean dimension of free semigroup actions,
Concentration of $1$-Lipschitz maps into an infinite dimensional $\ell ^p$-ball with the $\ell ^q$-distance function,
Weighted upper metric mean dimension for amenable group actions,
A Packing Problem for Holomorphic Curves,
Deformation of Brody curves and mean dimension,
Double variational principle for mean dimension,
Sofic mean length,
Upper metric mean dimensions with potential,
Strong topological shift equivalence for dynamical systems,
On a Hölder covariant version of mean dimension,
Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles,
Mean topological dimension for random bundle transformations,
Application of signal analysis to the embedding problem of \({\mathbb{Z}}^k\)-actions,
Scaled pressure of dynamical systems,
A note on commutation relations and finite dimensional approximations,
Conditional entropy and fiber entropy for amenable group actions,
Entropy and actions of sofic groups,
Mean dimension of Bernstein spaces and universal real flows,
Moduli Space of Brody Curves, Energy and Mean Dimension,
Mean dimension and a non-embeddable example for amenable group actions,
REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION,
Entropies for factor maps of amenable group actions,
Metric mean dimension for algebraic actions of Sofic groups,
Variational principle for metric mean dimension with potential,
Application of waist inequality to entropy and mean dimension,
On the image set and reversibility of shift morphisms over discrete alphabets,
Bowen’s equations for upper metric mean dimension with potential,
A note on entropy of Delone sets,
Embedding theorems for discrete dynamical systems and topological flows,
Metric mean dimension via preimage structures,
On relative metric mean dimension with potential and variational principles,
Finite mean dimension and marker property,
Double variational principle for mean dimensions with sub-additive potentials,
Classifiable \(\mathrm{C}^*\)-algebras from minimal \(\mathbb{Z} \)-actions and their orbit-breaking subalgebras,
The irregular set for maps with almost weak specification property has full metric mean dimension,
Sequence entropy and mean sequence dimension for non-compact metric spaces,
Mean dimension of natural extension of algebraic systems,
A convex analysis approach to the metric mean dimension: limits of scaled pressures and variational principles,
Ore localization of amenable monoid actions and applications toward entropy -- addition formulas and the bridge theorem,
On embeddings of extensions of almost finite actions into cubical shifts,
The Hilbert cube contains a minimal subshift of full mean dimension,
Mean dimensions for partial actions,
Mean dimension and an embedding theorem for real flows,
Upper metric mean dimensions with potential on subsets,
Computable Følner monotilings and a theorem of Brudno,
Scaled pressure of continuous flows*,
Convergence theorems for graph sequences,
ON ENTROPIES AND COMPLEXITY FOR AMENABLE ACTIONS GROUPS,
Relative Entropy and Mean Li–Yorke Chaos for Biorderable Amenable Group Actions,
Brody curves and mean dimension,
Symbolic dynamics in mean dimension theory,
Around the variational principle for metric mean dimension,
Conditional mean dimension,
Directional mean dimension and continuum-wise expansive ℤ^{𝕜}-actions