Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Dynamics of Dendric Subshifts

Explore the dynamics of dendric subshifts, a generalization of interval exchange transformations and Arnoux-Rauzy subshifts, including their dynamical factors and S-adic structure.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Regularity of Positional Numeration Systems Without a Dominant Root

Explore the characterization of positional numeration systems without dominant roots, their regularity properties, and connections to multi-base systems for representing real numbers.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Metallic Mean Wang Tiles and Their Rauzy Fractals

Explore the mathematical concepts of metallic mean Wang tiles and their relationship to Rauzy fractals in this insightful presentation by Sebastien Labbé.

• YouTube
• 33 minutes
• On-Demand
• Free Video

The Baernstein and Schreier Spaces, and Operators on Them

Explore the mathematical properties of Baernstein and Schreier spaces and the operators that act on them in this advanced analysis of Banach space structures.

• YouTube
• 46 minutes
• On-Demand
• Free Video

B-free Sets and the Existence of Natural Density

Explore the mathematical concepts of B-free sets and natural density in this insightful talk by Joanna Kułaga-Przymus from the Workshop on Uniform Distribution of Sequences.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Constructing Morphisms for Arithmetic Subsequences of Fibonacci

Delve into the explicit construction of morphisms for arithmetic subsequences of the Fibonacci sequence, demonstrating how these subsequences maintain morphic properties.

• YouTube
• 24 minutes
• On-Demand
• Free Video

A Special Case of the Binary S-adic Pisot Conjecture

Explore a mathematical proof showing that certain binary S-adic words with Pisot conditions have pure point spectra, extending beyond single substitution generated words.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Equidistribution Modulo Finite Groups in Shifts

Explore equidistribution results in shift spaces through ergodic properties of skew products between shift spaces and finite groups, focusing on density of group languages and frequency of specific word patterns.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Leading Digits, Factor Complexity, and Flows on Homogeneous Spaces: A Dynamical Approach

Explore the mathematical connections between leading digits, factor complexity, and flows on homogeneous spaces through a dynamical systems perspective.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Bottlenecks in Quantum Channels and Defining Quantum Spin Glass Order

Delve into quantum channel bottlenecks and their implications for quantum spin glass order, exploring how barriers in Hilbert space affect state dynamics and provide insights into quantum many-body systems.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Probing Non-Equilibrium Topological Order on a Quantum Processor

Explore the realization of Floquet topologically ordered states using superconducting qubits, including imaging chiral edge modes and characterizing anyonic excitations in non-equilibrium quantum matter.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Neural Network Simulation of a Spin Glass Dynamics Transition

Dive into neural network simulations of spin glass dynamics transitions, exploring quantum annealing experiments and nonequilibrium dynamics in magnetic spin systems.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Geometric Quantum Drives: Hyperbolically Driven Quantum Systems and Beyond

Explore geometric quantum driving, a framework using classical particle motion on manifolds to steer quantum Hamiltonians, with focus on hyperbolically driven systems and their topological classification.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Complexity Transitions in Chaotic Quantum Systems

Explore complexity transitions in chaotic quantum systems with Philipp Hauke's insightful talk from the ESI's thematic programme on quantum entanglement.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Quantum Gas Microscopy of Quantum Many-Body Systems Out-of-Equilibrium

Explore quantum gas microscopy techniques for studying out-of-equilibrium quantum many-body systems in this insightful physics lecture by Monika Aidelsburger.

• YouTube
• 46 minutes
• On-Demand
• Free Video