
Explore mean ergodic theorems along polynomial growth sequences, delving into advanced mathematical concepts in ergodic theory and topological dynamics.

Explore an advanced mathematical extension of Furstenberg and Glasner's work in topological dynamics and ergodic theory with XiangDong Ye.

Explore advanced C*-classification applications in mathematics, delving into complex algebraic structures and their theoretical implications.

Explore advanced applications of C*-classification in mathematics, focusing on cutting-edge research and theoretical developments in functional analysis.

Explore nilspaces and their applications in mathematics, focusing on key concepts and practical uses in various fields.

Explore C*-classification applications in mathematics, focusing on advanced concepts and their practical implications in the field of functional analysis.

Explore directed graphs, their variations, and associated C*-algebras. Delve into proofs, dynamics, and advanced concepts in graph theory and algebra.

Explore C*-algebras of one-sided subshifts, delving into their properties and applications over arbitrary alphabets.

Explore Twisted Ruelle zeta functions, Fried's conjecture, and applications in locally symmetric spaces. Gain insights into spectral geometry and refined analytic torsion.

Explorez la fonction zêta de Ruelle pour les variétés presque hyperboliques en 3D, en examinant ses propriétés spectrales et géométriques.

Explore order structures in groups, covering total orders, algebraic structures, and essential tools. Gain insights into open problems and active research areas in the field.

Explore various total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.

Explore various types of total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.

Explore connections between $L^2$-invariants in operator algebra and entropy/mean dimension in topological dynamical systems, focusing on algebraic actions of discrete groups.

Explore dynamical degrees, comparing them to other dynamics concepts and delving into key findings using ideas from dynamics, Hodge theory, and geometries.

Explore measure and topological rigidity in dynamical systems beyond homogeneous spaces, examining conditions for rigidity properties on manifolds.

Explorez la théorie quantitative globale des opérateurs quasipériodiques à une fréquence, en examinant la réductibilité et ses implications dans les problèmes spectraux.

Explore Hofer-Zehnder conjecture on periodic points of Hamiltonian diffeomorphisms, examining recent progress using persistence modules, barcodes, and Floer cohomology power operations.

Explore the BCZ map's connection to Farey fractions, horocycle flow, and the Riemann Hypothesis. Gain insights into recent developments in BCZ cocycles and their dynamical implications.

Explore linear stochastic graphon systems with Q-noise, extending classical theory to large networks. Learn about LQG control problems, finite rank operators, and Nash Equilibrium approximations in graphon-based systems.

Explore pointwise convergence in ergodic theory and analysis with Mariusz Mirek from Rutgers University. Gain insights into fundamental concepts and applications.