Survival Probability and Record Statistics for Random Walks
Explore survival probability and record statistics for random walks, including correlated models and applications to active particles, with insights on universality and extreme value statistics.
Existence and Stability of Corotational Wave Maps into Perturbed Spheres
Explore corotational wave maps from Minkowski space to perturbed spheres, examining existence and stability of self-similar solutions in energy-supercritical scenarios.
Low Regularity Well-Posedness for the Generalized Surface Quasi-Geostrophic Front Equation
Explore well-posedness of generalized surface quasi-geostrophic front equation using paradifferential normal form analysis and wave packet approach for low regularity solutions.
Sobolev Homeomorphic Extensions in Geometric Analysis and Nonlinear Elasticity
Explore Sobolev homeomorphic extensions in geometric analysis, focusing on boundary map properties and their implications for nonlinear elasticity and higher-dimensional problems.
Fully Discrete Approximation Schemes for Rate-Independent Crack Propagation
Explore convergence analysis of space-time discrete approximation schemes for rate-independent crack propagation in brittle elastic bodies, focusing on Griffith fracture criterion and local energy minimizers.
Weak Limit of Homeomorphisms in W1,n-1: Invertibility and Lower Semicontinuity
Explore weak limits of homeomorphisms, examining invertibility and lower semicontinuity in W1,n-1 spaces through variational and geometrical methods.
Modern Trends in Gagliardo-Nirenberg Inequality
Explore modern trends in Gagliardo-Nirenberg inequality, including generalizations, refinements, and applications in functional analysis and partial differential equations.
Thoughts on Regularity Structures
Explore Hairer's regularity structures for solving PDEs with rough noise, examining versatile concepts and analytical approaches to renormalization.
Group Dynamics in Phototaxis
Explore mathematical approaches to modeling group dynamics in phototaxis, including discrete, kinetic, and PDE-based methods for studying bacterial movement towards light.
A Simple Go-or-Grow Model of Aerotaxis Along a Self-Generated Gradient
Explore a minimal model of cell colony expansion driven by aerotaxis, examining division, directional movement, and diffusion in response to oxygen gradients.
Structure of Feigenbaum Henon Maps
Explore Feigenbaum Henon maps structure in dynamical systems with Mikhail Lyubich's conference talk, part of a broad meeting celebrating Marcelo Viana's 60th birthday at IMPA.
Billiards and the Lorentz Gas
Explore billiards and Lorentz gas in dynamical systems with Carlangelo Liverani's conference talk, part of a celebration for Marcelo Viana's 60th birthday at IMPA.
Dynamics of Heterogeneous Networks
Explore dynamics of heterogeneous networks with Tiago Pereira at IMPA's International Conference on Dynamical Systems, celebrating Marcelo Viana's 60th birthday and featuring top researchers.
Mixing Time and Cutoff for One Dimensional Systems
Explore mixing time and cutoff for one-dimensional systems in this advanced mathematics lecture by Hubert Lacoin at IMPA's 70th anniversary conference.
Interacting Particle Systems on Sparse W-Random Graphs
Explore interacting particle systems on sparse W-random graphs in this workshop. Gain insights from leading experts through plenary talks, contributed presentations, and collaborative sessions on randomness and network learning.
Solving Geometry Word Problem: Bike Tire Revolutions in 900 Feet
Solve a geometry word problem about circles and circumference, focusing on calculating tire revolutions over a given distance.
Nash's C^1 Isometric Embedding Theorem and the Borisov-Gromov Problem - Lecture 3
Explore Nash's C^1 isometric embedding theorem and the Borisov-Gromov problem in Riemannian geometry. Delve into surprising constructions and open questions linked to the Onsager conjecture.
Swallowed Kashiwara Crystals by Accident
Explore Kashiwara crystals and their accidental ingestion in this intriguing mathematical talk by Xiao Wang from the Institute for Advanced Study.
A-Infinity Functor in Symplectic Geometry and Gauge Theory
Explore advanced concepts in Floer theory, focusing on representability of A-infinity functors in symplectic geometry and gauge theory applications.
Geometric Quantization of General Kahler Manifolds
Explore geometric quantization on Kähler phase spaces, examining function quantization, Hilbert space structure, and Kähler structure dependence. Investigate curvature's impact on quantization.
Homological Mirror Symmetry and Quantum Link Invariants
Explore homological mirror symmetry, categorification of quantum link invariants, and new mirror pairs in this advanced mathematical lecture by Mina Aganagic.